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Journal articles on the topic 'Quantum phase transitions, Entanglement, Information theory'

Author: Grafiati

Published: 10 March 2023

Last updated: 31 July 2025

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1

Zhuang, Min, Jiahao Huang, and Chaohong Lee. "Entanglement-enhanced test proposal for local Lorentz-symmetry violation via spinor atoms." Quantum 6 (November 14, 2022): 859. http://dx.doi.org/10.22331/q-2022-11-14-859.

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Invariance under Lorentz transformations is fundamental to both the standard model and general relativity. Testing Lorentz-symmetry violation (LSV) via atomic systems attracts extensive interests in both theory and experiment. In several test proposals, the LSV violation effects are described as a local interaction and the corresponding test precision can asymptotically reach the Heisenberg limit via increasing quantum Fisher information (QFI), but the limited resolution of collective observables prevents the detection of large QFI. Here, we propose a multimode many-body quantum interferometry

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2

Sugino, Fumihiko, and Vladimir Korepin. "Rényi entropy of highly entangled spin chains." International Journal of Modern Physics B 32, no. 28 (2018): 1850306. http://dx.doi.org/10.1142/s021797921850306x.

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Entanglement is one of the most intriguing features of quantum theory and a main resource in quantum information science. Ground states of quantum many-body systems with local interactions typically obey an “area law” which means that the entanglement entropy is proportional to the boundary length. It is exceptional when the system is gapless, and the area law had been believed to be violated by at most a logarithm over two decades. Recent discovery of Motzkin and Fredkin spin chain models is striking, since these models provide significant violation of the entanglement beyond the belief, grow

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3

Biercuk, M. J., H. Uys, A. P. VanDevender, N. Shiga, W. M. Itano, and J. J. Bollinger. "High-fidelity quantum control using ion crystals in a Penning trap." Quantum Information and Computation 9, no. 11&12 (2009): 920–49. http://dx.doi.org/10.26421/qic9.11-12-2.

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We provide an introduction to the use of ion crystals in a Penning trap for experiments in quantum information. Macroscopic Penning traps allow for the containment of a few to a few million atomic ions whose internal states may be used in quantum information experiments. Ions are laser Doppler cooled, and the mutual Coulomb repulsion of the ions leads to the formation of crystalline arrays. The structure and dimensionality of the resulting ion crystals may be tuned using a combination of control laser beams and external potentials. We discuss the use of two-dimensional $^{9}$Be$^{+}$ ion cryst

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4

Subrahmanyam, V. "Macroscopic multispecies entanglement near quantum phase transitions." Quantum Information and Computation 11, no. 1&2 (2011): 1–7. http://dx.doi.org/10.26421/qic11.1-2-1.

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Multi-Species entanglement, defined for a many-particle system as the entanglement between different species of particles, is shown to exist in the thermodynamic limit of the system size going to infinity. This macroscopic entanglement, as it can exhibit singular behavior, is capable of tracking quantum phase transitions. The entanglement between up and down spins has been analytically calculated for the one-dimensional Ising model in a transverse magnetic field. As the coupling strength is varied, the first derivative of the entanglement shows a jump discontinuity and the second derivative di

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An, Zheng, Chenfeng Cao, Cheng-Qian Xu, and D. L. Zhou. "Learning quantum phases via single-qubit disentanglement." Quantum 8 (July 22, 2024): 1421. http://dx.doi.org/10.22331/q-2024-07-22-1421.

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Identifying phases of matter presents considerable challenges, particularly within the domain of quantum theory, where the complexity of ground states appears to increase exponentially with system size. Quantum many-body systems exhibit an array of complex entanglement structures spanning distinct phases. Although extensive research has explored the relationship between quantum phase transitions and quantum entanglement, establishing a direct, pragmatic connection between them remains a critical challenge. In this work, we present a novel and efficient quantum phase transition classifier, util

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6

Hoke, J. C., M. Ippoliti, E. Rosenberg, et al. "Measurement-induced entanglement and teleportation on a noisy quantum processor." Nature 622, no. 7983 (2023): 481–86. http://dx.doi.org/10.1038/s41586-023-06505-7.

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AbstractMeasurement has a special role in quantum theory1: by collapsing the wavefunction, it can enable phenomena such as teleportation2 and thereby alter the ‘arrow of time’ that constrains unitary evolution. When integrated in many-body dynamics, measurements can lead to emergent patterns of quantum information in space–time3–10 that go beyond the established paradigms for characterizing phases, either in or out of equilibrium11–13. For present-day noisy intermediate-scale quantum (NISQ) processors14, the experimental realization of such physics can be problematic because of hardware limita

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7

Latorre, J. I., E. Rico, and G. Vidal. "Ground state entanglement in quantum spin chains." Quantum Information and Computation 4, no. 1 (2004): 48–92. http://dx.doi.org/10.26421/qic4.1-4.

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A microscopic calculation of ground state entanglement for the XY and Heisenberg models shows the emergence of universal scaling behavior at quantum phase transitions. Entanglement is thus controlled by conformal symmetry. Away from the critical point, entanglement gets saturated by a mass scale. Results borrowed from conformal field theory imply irreversibility of entanglement loss along renormalization group trajectories. Entanglement does not saturate in higher dimensions which appears to limit the success of the density matrix renormalization group technique. A possible connection between

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8

ERYIĞIT, RECEP, RESUL ERYIĞIT, and YIĞIT GÜNDÜÇ. "QUANTUM PHASE TRANSITIONS AND ENTANGLEMENT IN J1–J2 MODEL." International Journal of Modern Physics C 15, no. 08 (2004): 1095–103. http://dx.doi.org/10.1142/s0129183104006558.

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We study ground state pairwise entanglement within one-dimensional spin-1/2 antiferromagnetic J1–J2 model with competing interactions. Contrary to some claims we found that frustration does not increase entanglement. Concurrence of nearest and next nearest neighbors are found to show abrupt change at phase transition points. We also show that the concurrence can be used to classify the phase diagram of the model in anisotropy–frustration plane.

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9

Zhang, Zhao, Amr Ahmadain, and Israel Klich. "Novel quantum phase transition from bounded to extensive entanglement." Proceedings of the National Academy of Sciences 114, no. 20 (2017): 5142–46. http://dx.doi.org/10.1073/pnas.1702029114.

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The nature of entanglement in many-body systems is a focus of intense research with the observation that entanglement holds interesting information about quantum correlations in large systems and their relation to phase transitions. In particular, it is well known that although generic, many-body states have large, extensive entropy, ground states of reasonable local Hamiltonians carry much smaller entropy, often associated with the boundary length through the so-called area law. Here we introduce a continuous family of frustration-free Hamiltonians with exactly solvable ground states and unco

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10

Wang, Lihua, and Sung Gong Chung. "Entanglement perturbation theory for infinite quasi-1D quantum systems." International Journal of Modern Physics B 29, no. 07 (2015): 1550042. http://dx.doi.org/10.1142/s0217979215500423.

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We develop entanglement perturbation theory (EPT) for infinite Quasi-1D quantum systems. The spin-1/2 Heisenberg chain with ferromagnetic nearest neighbor (NN) and antiferromagnetic next nearest neighbor (NNN) interactions with an easy-plane anisotropy is studied as a prototypical system. The obtained phase diagram is compared with a recent prediction [Phys. Rev. B 81, 094430 (2010)] that dimer and Néel orders appear alternately as the XXZ anisotropy Δ approaches the isotropic limit Δ = 1. The first and second transitions (across dimer, Néel and dimer phases) are detected with improved accurac

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11

CLARK, J. W., A. MANDILARA, M. L. RISTIG, and K. E. KÜRTEN. "ENTANGLEMENT PROPERTIES OF QUANTUM MANY-BODY WAVE FUNCTIONS." International Journal of Modern Physics B 23, no. 20n21 (2009): 4041–57. http://dx.doi.org/10.1142/s0217979209063249.

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The entanglement properties of correlated wave functions commonly employed in theories of strongly correlated many-body systems are studied. The variational treatment of the transverse Ising model within correlated-basis theory is reviewed, and existing calculations of the one- and two-body reduced density matrices are used to evaluate or estimate established measures of bipartite entanglement, including the Von Neumann entropy, the concurrence, and localizable entanglement, for square, cubic, and hypercubic lattice systems. The results discussed in relation to the findings of previous studies

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12

Paviglianiti, Alessio, Giovanni Di Fresco, Alessandro Silva, Bernardo Spagnolo, Davide Valenti, and Angelo Carollo. "Breakdown of Measurement-Induced Phase Transitions Under Information Loss." Quantum 9 (June 24, 2025): 1781. https://doi.org/10.22331/q-2025-06-24-1781.

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The dynamics of a quantum-many body system subject to measurements is naturally described by an ensemble of quantum trajectories, which can feature measurement-induced phase transitions (MIPTs). This phenomenon cannot be revealed through ensemble-averaged observables, but it requires the ability to discriminate each trajectory separately, making its experimental observation extremely challenging. We explore the fate of MIPTs under an observer&apos;s reduced ability to discriminate each measurement outcome. This introduces uncertainty in the state of the system, causing observables to probe

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13

Zhahir, Amirul Asyraf, Siti Munirah Mohd, Mohd Ilias M. Shuhud та ін. "Entanglement classification – a comparative study of 𝑺𝑼(𝟐) and 𝑺𝑳(𝟐) developed operator model". International Journal of Informatics and Communication Technology (IJ-ICT) 13, № 3 (2024): 556. http://dx.doi.org/10.11591/ijict.v13i3.pp556-562.

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Entanglement classification is a core aspect of quantum information theory. It ensures successful quantum information processing. This article presents a comparative study of entanglement classification using developed operator models for the special unitary group and special linear group. This study was built upon prior work in entanglement classification in a pure three-qubit quantum system environment, where the operator models for each mathematical group were independently developed. Through extensive analysis, both synthesized models are functionally effective and yield the desired result

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Amirul, Asyraf Zhahir, Munirah Mohd Siti, Ilias M. Shuhud Mohd та ін. "Entanglement classification – a comparative study of 𝑺𝑼(𝟐) and 𝑺𝑳(𝟐) developed operator model". International Journal of Informatics and Communication Technology 13, № 3 (2024): 556–62. https://doi.org/10.11591/ijict.v13i3.pp556-562.

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Entanglement classification is a core aspect of quantum information theory. It ensures successful quantum information processing. This article presents a comparative study of entanglement classification using developed operator models for the special unitary group and special linear group. This study was built upon prior work in entanglement classification in a pure three-qubit quantum system environment, where the operator models for each mathematical group were independently developed. Through extensive analysis, both synthesized models are functionally effective and yield the desired result

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15

Pakarzadeh, Hassan, Zahra Norouzi, and Javad Vahedi. "Time evolution of entanglement in a four-qubit Heisenberg chain." Quantum Information and Computation 20, no. 9&10 (2020): 736–46. http://dx.doi.org/10.26421/qic20.9-10-2.

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The phenomenon of quantum entanglement has a very important role in quantum mechanics. Particularly, the quantum spin chain provides a platform for theoretical and experimental investigation of many-body entanglement. In this paper, we investigate time evolution of entanglement in a four-qubit anisotropic Heisenberg XXZ chain with nearest neighboring (NN), the next nearest neighboring (NNN), and the Dzialoshinskii-Moriya (DM) interactions. Calculations of the entanglement evolution of the Werner state carried out in terms of concurrence for selected ranges of control parameters such as DM inte

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16

Suzuki, Ryotaro, Jonas Haferkamp, Jens Eisert, and Philippe Faist. "Quantum complexity phase transitions in monitored random circuits." Quantum 9 (February 10, 2025): 1627. https://doi.org/10.22331/q-2025-02-10-1627.

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Recently, the dynamics of quantum systems that involve both unitary evolution and quantum measurements have attracted attention due to the exotic phenomenon of measurement-induced phase transitions. The latter refers to a sudden change in a property of a state of n qubits, such as its entanglement entropy, depending on the rate at which individual qubits are measured. At the same time, quantum complexity emerged as a key quantity for the identification of complex behaviour in quantum many-body dynamics. In this work, we investigate the dynamics of the quantum state complexity in monitored rand

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17

Gautam, Mamta, Nitesh Jaiswal, Ankit Gill, and Tapobrata Sarkar. "Complexity and quenches in models with three and four spin interactions." Journal of Statistical Mechanics: Theory and Experiment 2023, no. 5 (2023): 053104. http://dx.doi.org/10.1088/1742-5468/acd2c5.

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Abstract We study information theoretic quantities in models with three and four spin interactions. These models show distinctive characteristics compared to their nearest neighbour (NN) counterparts. Here, we quantify these in terms of the Nielsen complexity (NC) in static and quench scenarios, the Fubini–Study complexity (FSC), and the entanglement entropy (EE). The models that we study have a rich phase structure, and we show how the difference in the nature of phase transitions in these, compared to ones with NN interactions, result in different behaviour of information theoretic quantitie

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18

BOSE, INDRANI, and AMIT KUMAR PAL. "QUANTUM DISCORD, DECOHERENCE AND QUANTUM PHASE TRANSITION." International Journal of Modern Physics B 27, no. 01n03 (2012): 1345042. http://dx.doi.org/10.1142/s0217979213450422.

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Quantum discord is a more general measure of quantum correlations than entanglement and has been proposed as a resource in certain quantum information processing tasks. The computation of discord is mostly confined to two-qubit systems for which an analytical calculational scheme is available. The utilization of quantum correlations in quantum information-based applications is limited by the problem of decoherence, i.e., the loss of coherence due to the inevitable interaction of a quantum system with its environment. The dynamics of quantum correlations due to decoherence may be studied in the

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19

Qin, Meng, Xin Zhang, and Zhong-Zhou Ren. "Renormalization of quantum deficit and monogamy relation in the Heisenberg XXZ model." Quantum Information and Computation 16, no. 9&10 (2016): 835–44. http://dx.doi.org/10.26421/qic16.9-10-6.

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In this study, the dynamical behavior of quantum deficit and monogamy relation in the Heisenberg XXZ model is investigated by implementing quantum renormalization group theory. The results demonstrate that the quantum deficit can be used to capture the quantum phase transitions point and show scaling behavior with the spin chain size increasing. It was also found that the critical exponent has no change when varying measure from entanglement to quantum correlation. The monogamy relation is influenced by the steps of quantum renormalization group and the ways of splitting the block states. Furt

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20

Rodríguez Ramírez, Karen. "The Use of Entanglement Entropy to Classify Quantum Phase Transitions in 1D Ultracold Spinor Bosons." Revista de Ciencias 21, no. 1 (2018): 23. http://dx.doi.org/10.25100/rc.v21i1.6342.

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In this paper, we discuss a novel method based on a quantum-information-toolsuitable to identify and characterize quantum-phases and phase transitions in a broad set of lattice models relevant in condensed-matter systems. The method relies on theentanglement entropy which, for instance, can be calculated using the Matrix ProductState (MPS) algorithm, or any other method, for several system sizes to perform an appropriate scaling. Particularly, this advanced method has been applied for a ﬁnite 1D system of repulsively interacting spin-1 bosons and obtaining the universality class via the calcul

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21

Chakravarty, Sudip. "SCALING OF VON NEUMANN ENTROPY AT THE ANDERSON TRANSITION." International Journal of Modern Physics B 24, no. 12n13 (2010): 1823–40. http://dx.doi.org/10.1142/s0217979210064629.

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Extensive body of work has shown that for the model of a non-interacting electron in a random potential there is a quantum critical point for dimensions greater than two — a metal–insulator transition. This model also plays an important role in the plateau-to-plateu transition in the integer quantum Hall effect, which is also correctly captured by a scaling theory. Yet, in neither of these cases the ground state energy shows any non-analyticity as a function of a suitable tuning parameter, typically considered to be a hallmark of a quantum phase transition, similar to the non-analyticity of th

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22

Li, Ming, Yinuo Wang, Zhaoyang Song, Yiming Zhao, Xiaolong Zhao, and Hongyang Ma. "Dynamics Reflects Quantum Phase Transition of Rabi Model." Photonics 10, no. 11 (2023): 1184. http://dx.doi.org/10.3390/photonics10111184.

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As the simplest and most fundamental model describing the interaction between light and matter, a breakdown in the rotating wave approximation of the Rabi model leads to phase transition versus coupling strength when the frequency of the qubit greatly surpasses that of the oscillator. In addition to the phase transition revealed in the ground state, we show that the dynamics of physical quantities can reflect such a phase transition for this model. In addition to the excitation of the bosonic field in the ground state, we show that the witness of inseparability (entanglement), mutual informati

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Cesário, André T., Diego L. B. Ferreira, Tiago Debarba, Fernando Iemini, Thiago O. Maciel, and Reinaldo O. Vianna. "Quantum Statistical Complexity Measure as a Signaling of Correlation Transitions." Entropy 24, no. 8 (2022): 1161. http://dx.doi.org/10.3390/e24081161.

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We introduce a quantum version for the statistical complexity measure, in the context of quantum information theory, and use it as a signaling function of quantum order–disorder transitions. We discuss the possibility for such transitions to characterize interesting physical phenomena, as quantum phase transitions, or abrupt variations in correlation distributions. We apply our measure on two exactly solvable Hamiltonian models: the 1D-Quantum Ising Model (in the single-particle reduced state), and on Heisenberg XXZ spin-1/2 chain (in the two-particle reduced state). We analyze its behavior ac

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Malinovsky, V. S., and I. R. Sola. "Phase control for entanglement preparation in two-qubit systems." Quantum Information and Computation 5, no. 4&5 (2005): 364–79. http://dx.doi.org/10.26421/qic5.45-7.

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The theory of Quantum Control is starting to lay bridges with the field of Quantum Information and Quantum Computation. Using key ideas of laser control of the dynamics by means of phase manipulation and adiabatic passage, we review laser schemes that allow entanglement preparation in a two-qubit system. The schemes are based on sequences that use four time-delayed pulses, with or without concerted decay, in or off resonance with the intermediate levels of the qubit space. We show how to control the fidelity and phase of the entanglement, as well as the sensitivity of the preparation to the di

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25

LI, CHE-MING, LI-YI HSU, and DER-SAN CHUU. "QUANTUM SECRET ENCRYPTION AND DECRYPTION IN CAVITY QED." International Journal of Quantum Information 07, no. 03 (2009): 681–87. http://dx.doi.org/10.1142/s0219749909003500.

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We present a proposal of the quantum secret encryption, transmission, and decryption implementation for quantum secret-sharing protocol using cavity QED. In the proposed scheme, the information is stored in two identical two-level atoms, and the two-qubit logic transformation is realized through the interaction between atoms and a nonresonant cavity mode. The proposed scheme requires no ancilla states to assist the intermediate atomic transitions and conditional quantum dynamics for quantum phase flip and quantum state diffusion. The encryption and decryption of quantum states are mostly gover

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26

Levy, Liron, and Moshe Goldstein. "Entanglement and Disordered-Enhanced Topological Phase in the Kitaev Chain." Universe 5, no. 1 (2019): 33. http://dx.doi.org/10.3390/universe5010033.

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In recent years, tools from quantum information theory have become indispensable in characterizing many-body systems. In this work, we employ measures of entanglement to study the interplay between disorder and the topological phase in 1D systems of the Kitaev type, which can host Majorana end modes at their edges. We find that the entanglement entropy may actually increase as a result of disorder, and identify the origin of this behavior in the appearance of an infinite-disorder critical point. We also employ the entanglement spectrum to accurately determine the phase diagram of the system, a

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Xiong, H. N., J. Ma, W. F. Liu, and X. Wang. "Quantum Fisher information for superpositions of spin states." Quantum Information and Computation 10, no. 5&6 (2010): 498–508. http://dx.doi.org/10.26421/qic10.5-6-8.

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In terms of quantum Fisher information, a quantity $\chi^{2}$ was introduced by Pezz\'{e} and Smerzi, which is a multiparticle entanglement measure, and provides a necessary and sufficient condition for sub-shot-noise phase estimation sensitivity. We derive a general expression of $\chi ^{2}$ for arbitrary symmetric multiqubit states with nonzero mean spins. It is shown that the entangled symmetric states are useful for phase sensitivity beyond the shot-noise limit. Using the expression, we explicitly examine a series of superpositions of spin states. We find that the superpositions of Dicke s

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28

Wilson, James H. "The QED-physical theory of electron spin and quantum entanglement." Physics Essays 35, no. 1 (2022): 5–14. http://dx.doi.org/10.4006/0836-1398-35.1.5.

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The QED-Physical (QED-P) theory described in four previous papers [J. H. Wilson, Phys. Essays 28, 1 (2015); 29, 402 (2016); 31, 59 (2018); 34, 17 (2021)] is combined with QED into a single theory in this paper, since both are based on the same Dirac Equation four current c(α,I). QED couples this four-vector with an external electromagnetic (EM) field and uses covariant perturbation theory to produce results that are very accurate computationally [M. L. Eides et al., Phys. Rep. 342, 63 (2001)], except for the electron self-energy, which is infinite. The reason for QED’s accuracy is its Dirac eq

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HARSHMAN, N. L. "DYNAMICAL ENTANGLEMENT IN PARTICLE SCATTERING." International Journal of Modern Physics A 20, no. 27 (2005): 6220–28. http://dx.doi.org/10.1142/s0217751x05029241.

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This paper explores the connections between particle scattering and quantum information theory in the context of the non-relativistic, elastic scattering of two spin-1/2 particles. An untangled, pure, two-particle in-state is evolved by an S-matrix that respects certain symmetries and the entanglement of the pure out-state is measured. The analysis is phrased in terms of unitary, irreducible representations (UIRs) of the symmetry group in question, either the rotation group for the spin degrees of freedom or the Galilean group for non-relativistic particles. Entanglement may occurs when multip

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Martini, Francesco De, and Giovanni Di Giuseppe. "Multiparticle Quantum Superposition and Stimulated Entanglement by Parity Selective Amplification of Entangled States." Zeitschrift für Naturforschung A 56, no. 1-2 (2001): 61–66. http://dx.doi.org/10.1515/zna-2001-0110.

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AbstractA multiparticle quantum superposition state has been generated by a novel phase-selective parametric amplifier of an entangled two-photon state. This realization is expected to open a new field of investigations on the persistence of the validity of the standard quantum theory for systems of increasing complexity, in a quasi decoherence-free environment. Because of its nonlocal structure the new system is expected to play a relevant role in the modem endeavor on quantum information and in the basic physics of entanglement. - Pacs: 03.65.Bz, 03.67.-a, 42.50.Ar, 89.70.+C

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VADASZ, PETER. "QUANTUM MECHANICS – DETERMINISTIC VS. PROBABILISTIC." 14th CONSTRUCTAL LAW CONFERENCE | 10-11 October 2024, Bucharest, Romania 2024, no. 1 (2024): 61–64. https://doi.org/10.59277/clc.2024.15.

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A deterministic quantum mechanics theory is presented. The proposed theory is shown to be consistent with the current mainstream statistical quantum theory as well as with classical physics. It produces solutions that demonstrate that causality, physical reality, and determinism are restored and can explain in simple form concerns raised by results from the current mainstream statistical quantum theory. The meaning of particle-wave duality and complementarity, the possibility of a particle, like an electron, crossing through the nucleus as it does when the angular momentum of the electron is z

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Angelidi, Iosifina, Marcin Szyniszewski, and Arijeet Pal. "Stabilization of symmetry-protected long-range entanglement in stochastic quantum circuits." Quantum 8 (August 2, 2024): 1430. http://dx.doi.org/10.22331/q-2024-08-02-1430.

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Long-range entangled states are vital for quantum information processing and quantum metrology. Preparing such states by combining measurements with unitary gates opened new possibilities for efficient protocols with finite-depth quantum circuits. The complexity of these algorithms is crucial for the resource requirements on a large-scale noisy quantum device, while their stability to perturbations decides the fate of their implementation. In this work, we consider stochastic quantum circuits in one and two dimensions comprising randomly applied unitary gates and local measurements. These oper

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Kolesnichenko, Olga, Igor Nakonechniy, and Yuriy Kolesnichenko. "From digital to quantum epidemiology: The Quantum Data Lake concept for big data related to viral infectious diseases." Global Health Economics and Sustainability 2, no. 1 (2024): 2148. http://dx.doi.org/10.36922/ghes.2148.

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The development of quantum epidemiology represents the next anticipated phase in epidemiology transformation, driven by the emergence of new quantum technologies. Epidemiology is currently transitioning into the digital era and undergoing a paradigm shift from a data-driven to a value-driven strategy. Epidemiology data are characterized by uncertainty, multidimensionality, and disconnection, thereby correlating with the preferential quantum approach for data exposition, value creation, and modeling. Examples of such complex epidemiology data include the data on DNA viruses with associated symp

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Wang, Jinzhao. "The refined quantum extremal surface prescription from the asymptotic equipartition property." Quantum 6 (February 16, 2022): 655. http://dx.doi.org/10.22331/q-2022-02-16-655.

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Information-theoretic ideas have provided numerous insights in the progress of fundamental physics, especially in our pursuit of quantum gravity. In particular, the holographic entanglement entropy is a very useful tool in studying AdS/CFT, and its efficacy is manifested in the recent black hole page curve calculation. On the other hand, the one-shot information-theoretic entropies, such as the smooth min/max-entropies, are less discussed in AdS/CFT. They are however more fundamental entropy measures from the quantum information perspective and should also play pivotal roles in holography. We

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Zurek, Wojciech Hubert. "Quantum Theory of the Classical: Einselection, Envariance, Quantum Darwinism and Extantons." Entropy 24, no. 11 (2022): 1520. http://dx.doi.org/10.3390/e24111520.

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Core quantum postulates including the superposition principle and the unitarity of evolutions are natural and strikingly simple. I show that—when supplemented with a limited version of predictability (captured in the textbook accounts by the repeatability postulate)—these core postulates can account for all the symptoms of classicality. In particular, both objective classical reality and elusive information about reality arise, via quantum Darwinism, from the quantum substrate. This approach shares with the Relative State Interpretation of Everett the view that collapse of the wavepacket refle

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Stephen, David T., Hendrik Poulsen Nautrup, Juani Bermejo-Vega, Jens Eisert, and Robert Raussendorf. "Subsystem symmetries, quantum cellular automata, and computational phases of quantum matter." Quantum 3 (May 20, 2019): 142. http://dx.doi.org/10.22331/q-2019-05-20-142.

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Quantum phases of matter are resources for notions of quantum computation. In this work, we establish a new link between concepts of quantum information theory and condensed matter physics by presenting a unified understanding of symmetry-protected topological (SPT) order protected by subsystem symmetries and its relation to measurement-based quantum computation (MBQC). The key unifying ingredient is the concept of quantum cellular automata (QCA) which we use to define subsystem symmetries acting on rigid lower-dimensional lines or fractals on a 2D lattice. Notably, both types of symmetries ar

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RAMÓN MEDRANO, M., and N. G. SÁNCHEZ. "SEMICLASSICAL AND QUANTUM BLACK HOLES AND THEIR EVAPORATION, DE SITTER AND ANTI-DE SITTER REGIMES, GRAVITATIONAL AND STRING PHASE TRANSITIONS." International Journal of Modern Physics A 22, no. 32 (2007): 6089–131. http://dx.doi.org/10.1142/s0217751x07038669.

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An effective string theory in physically relevant cosmological and black hole space–times is reviewed. Explicit computations of the quantum string entropy, partition function and quantum string emission by black holes (Schwarzschild, rotating, charged, asymptotically flat, de Sitter dS and anti-de Sitter AdS space–times) in the framework of effective string theory in curved backgrounds provide an amount of new quantum gravity results as: (i) gravitational phase transitions appear with a distinctive universal feature: a square-root branch point singularity in any space–time dimensions. This is

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Wang, Ming-Ming, and Zhi-Guo Qu. "Weak measurement for improving the efficiency of remote state preparation in noisy." Quantum Information and Computation 18, no. 11&12 (2018): 975–87. http://dx.doi.org/10.26421/qic18.11-12-6.

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Quantum communication provides a new way for transmitting highly sensitive information. But the existence of quantum noise inevitably affects the security and reliability of a quantum communication system. The technique of weak measurement and its reversal measurement (WMRM) has been proposed to suppress the effect of quantum noise, especially, the amplitude-damping noise. Taking a GHZ based remote state preparation (RSP) scheme as an example, we discuss the effect of WMRM for suppressing four types of quantum noise that usually encountered in real-world, i.e., not only the amplitude-damping n

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Cushman, Richard, and Jędrzej Śniatycki. "Classical and Quantum Spherical Pendulum." Symmetry 14, no. 3 (2022): 496. http://dx.doi.org/10.3390/sym14030496.

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The seminal paper by Niels Bohr followed by a paper by Arnold Sommerfeld led to a revolutionary Bohr–Sommerfeld theory of atomic spectra. We are interested in the information about the structure of quantum mechanics encoded in this theory. In particular, we want to extend Bohr–Sommerfeld theory to a full quantum theory of completely integrable Hamiltonian systems, which is compatible with geometric quantization. In the general case, we use geometric quantization to prove analogues of the Bohr–Sommerfeld quantization conditions for the prequantum operators Pf. If a prequantum operator Pf satisf

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Liu, Peng, Chao Niu, Zi-Jian Shi, and Cheng-Yong Zhang. "Entanglement wedge minimum cross-section in holographic massive gravity theory." Journal of High Energy Physics 2021, no. 8 (2021). http://dx.doi.org/10.1007/jhep08(2021)113.

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Abstract We study the entanglement wedge cross-section (EWCS) in holographic massive gravity theory, in which a first and second-order phase transition can occur. We find that the mixed state entanglement measures, the EWCS and mutual information (MI) can characterize the phase transitions. The EWCS and MI show exactly the opposite behavior in the critical region, which suggests that the EWCS captures distinct degrees of freedom from that of the MI. More importantly, EWCS, MI and HEE all show the same scaling behavior in the critical region. We give an analytical understanding of this phenomen

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Gu, Andi, Salvatore F. E. Oliviero, and Lorenzo Leone. "Magic-Induced Computational Separation in Entanglement Theory." PRX Quantum 6, no. 2 (2025). https://doi.org/10.1103/prxquantum.6.020324.

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Entanglement serves as a foundational pillar in quantum information theory, delineating the boundary between what is classical and what is quantum. The common assumption is that a higher degree of entanglement corresponds to a greater degree of “quantumness.” However, this folk belief is challenged by the fact that classically simulable operations, such as Clifford circuits, can create highly entangled states. The simulability of these states raises the question: What are the differences between “low-magic” entanglement and “high-magic” entanglement? To understand this interplay between entang

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Feng Xi-Xi, Chen Wen, and Gao Xian-Long. "The application of the metric space method in quantum information in quasi-periodic systems." Acta Physica Sinica, 2024, 0. http://dx.doi.org/10.7498/aps.73.20231605.

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Due to the rapid advancement of quantum information theory, concepts such as fidelity, entanglement entropy have been introduced to the study of quantum phase transitions, which can not only be used to identify novel matter phases but also to detect the critical point and describe the critical behavior of the quantum phase transitions. From the point of view of the metric space, these physical quantities can be understood as the distance between the two functions in the metric space. In this work, we study a class of quasi-periodic systems represented by the generalized Aubry-André-Harper mode

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Ara, Nisa, Rudranil Basu, Emil Mathew, and Indrakshi Raychowdhury. "Entanglement of edge modes in (very) strongly correlated topological insulators." Journal of Physics: Condensed Matter, April 9, 2024. http://dx.doi.org/10.1088/1361-648x/ad3c88.

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Abstract Identifying topological phases for a strongly correlated theory remains a non-trivial task, as defining order parameters, such as Berry phases, is not straightforward. Quantum information theory is capable of identifying topological phases for a theory that exhibits quantum phase transition with a suitable definition of order parameters that are related to different entanglement measures for the system. In this work, we study entanglement entropy for a coupled SSH model, both in the presence and absence of Hubbard interaction and at varying interaction strengths. For the free theory,

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Sato, Shinji, Daiki Sasaki, Chih-Chieh Chen, Kodai Shiba, and Tomah Sogabe. "Randomized Tensor Network Reservoir Computing: Validity and Learnability Phase Transitions." Machine Learning: Science and Technology, July 8, 2025. https://doi.org/10.1088/2632-2153/aded56.

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Abstract Reservoir computing (RC) systems, traditionally based on echo state networks (ESN) or liquid state machines, have shown significant potential in dynamic temporal data modeling, such as weather forecasting and astronomical predictions. However, these frameworks are known not being applicable to quantum dynamics-based RC. Tensor networks (TNs), with their efficient representation of high-dimensional quantum information and entanglement, are powerful tools for modeling correlated quantum dynamics. Introducing randomized effects into TNs, akin to randomization of recurrent connections in

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Li Yan and Ren Zhi-Hong. "Quantum Fisher information of multi-qubit WV entangled state under Lipkin-Meshkov-Glick model." Acta Physica Sinica, 2023, 0. http://dx.doi.org/10.7498/aps.72.20231179.

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As an important quantity in the field of parameter estimation theory and quantum precision measurement, quantum Fisher information (QFI) can not only be used to set the theoretical limit of measurement precision in quantum system, but also be exploited to witness metrological useful quantum entanglement. Recently, it has also been broadly used in many aspects of quantum information science, including quantum metrology, multipartite entanglement structure detection, quantum phase transition, quantum chaos, quantum computation and etc. In this work, from the perspective of quantum measurement, w

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Sotnikov, O. M., I. A. Iakovlev, A. A. Iliasov, M. I. Katsnelson, A. A. Bagrov, and V. V. Mazurenko. "Certification of quantum states with hidden structure of their bitstrings." npj Quantum Information 8, no. 1 (2022). http://dx.doi.org/10.1038/s41534-022-00559-7.

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AbstractThe rapid development of quantum computing technologies already made it possible to manipulate a collective state of several dozens of qubits, which poses a strong demand on efficient methods for characterization and verification of large-scale quantum states. Here, we propose a numerically cheap procedure to distinguish quantum states which is based on a limited number of projective measurements in at least two different bases and computing inter-scale dissimilarities of the resulting bit-string patterns via coarse-graining. The information one obtains through this procedure can be vi

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Paul, Sanku, Paraj Titum, and Mohammad Maghrebi. "Hidden quantum criticality and entanglement in quench dynamics." Physical Review Research 6, no. 3 (2024). http://dx.doi.org/10.1103/physrevresearch.6.l032003.

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Entanglement exhibits universal behavior near the ground-state critical point where correlations are long ranged and the thermodynamic entropy is vanishing. On the other hand, a quantum quench imparts extensive energy and results in a build up of entropy, hence no critical behavior is expected at long times. In this work, we present a new paradigm in the quench dynamics of integrable spin chains which exhibit a ground-state order-disorder phase transition at a critical line. Specifically, we consider a quench along the critical line which displays a volume-law behavior of the entropy and expon

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Bagrov, Andrey A., Mikhail Danilov, Sergey Brener, Malte Harland, Alexander I. Lichtenstein, and Mikhail I. Katsnelson. "Detecting quantum critical points in the t-$$t'$$ Fermi-Hubbard model via complex network theory." Scientific Reports 10, no. 1 (2020). http://dx.doi.org/10.1038/s41598-020-77513-0.

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AbstractA considerable success in phenomenological description of $$\text {high-T}_{\text{c}}$$ high-T c superconductors has been achieved within the paradigm of Quantum Critical Point (QCP)—a parental state of a variety of exotic phases that is characterized by dense entanglement and absence of well-defined quasiparticles. However, the microscopic origin of the critical regime in real materials remains an open question. On the other hand, there is a popular view that a single-band t-$$t'$$ t ′ Hubbard model is the minimal model to catch the main relevant physics of superconducting compounds.

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Ren Yalei and Zhou Tao. "Quantum Fisher information in moving frames." Acta Physica Sinica, 2024, 0. http://dx.doi.org/10.7498/aps.73.20231394.

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In the field of quantum metrology, a significant application is the quantum parameter estimation. As the fundamental theory of quantum parameter estimation, quantum Cramér-Rao inequality shows that the variance of parameter estimation is determined by the inverse of quantum Fisher information. A higher quantum Fisher information corresponds to a lower variance, and thereby improves the precision of parameter estimation. Quantum Fisher information has been extensively investigated in many aspects of non-relativistic quantum mechanics, including entanglement structure detection, quantum teleport

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Sun, Dihang, Zhigang Hu, and Biao Wu. "Thermal Entanglement in Disordered Spin Chains: Localization, Thresholds, and the Quantum-to-Classical Crossover." Chinese Physics Letters, May 7, 2025. https://doi.org/10.1088/0256-307x/42/7/070601.

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Abstract We investigate the mixed-state entanglement between two spins embedded in the XXZ Heisenberg chain under thermal equilibrium. By deriving an analytical expression for the entanglement of two-spin thermal states and extending this analysis to larger spin chains, we demonstrate that mixedstate entanglement is profoundly shaped by both disorder and temperature. Our results reveal a sharp distinction between many-body localized (MBL) and ergodic phases, with entanglement vanishing above different finite temperature thresholds. Furthermore, by analyzing non-adjacent spins, we uncover an ap

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