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Journal articles on the topic 'Decoherence'

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Author: Grafiati

Published: 4 June 2021

Last updated: 25 May 2024

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1

ZHANG, JIAN-SONG, and JING-BO XU. "ENTANGLEMENT DYNAMICS OF TWO TWO-MODE TWO-PHOTON JAYNES–CUMMINGS MODELS IN THE PRESENCE OF PHASE DECOHERENCE." Modern Physics Letters B 22, no. 08 (March 30, 2008): 561–68. http://dx.doi.org/10.1142/s0217984908014754.

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We investigate the entanglement of two two-mode two-photon Jaynes–Cummings models in the presence of phase decoherence. We find an explicit analytical solution of the system and discuss the influence of the phase decoherenc on the entanglement dynamics. Our results shows that the entanglement of the two initially entangled atoms can remain zero for a finite time and revive later. However, if the phase decoherence is taken into accounted, the entanglement cannot revive completely.

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2

Rebolledo, Rolando. "A View on Decoherence Via Master Equations." Open Systems & Information Dynamics 12, no. 01 (March 2005): 37–54. http://dx.doi.org/10.1007/s11080-005-0485-3.

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This paper addresses the discussion on probabilistic features of the concept of decoherence as it appeared in quantum physics. Given a Lindblad-type generator of an open system dynamics, we derive applicable criteria to characterize decoherent behaviour.

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3

Sarkardei, M. R. "Towards the consistent histories approach to quantum mechanics." Canadian Journal of Physics 82, no. 1 (January 1, 2004): 1–17. http://dx.doi.org/10.1139/p03-122.

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We introduce and review the consistent (decoherent) histories approach to quantum mechanics due to Griffiths, to Gell-Mann and Hartle, and to Omnes. We will not attempt an in depth look at this approach as it would be impossible to treat it in such a short review. The emphasis is on understanding the broader meaning of the consistency and decoherence. The consistent history approach to quantum mechanics provides a precise conceptual framework for describing how a closed quantum system develops in time. The approach also provides a framework from which we may observe the emergence of an approximately classical domain for macroscopic systems, together with the conventional Copenhagen quantum mechanics for microscopic subsystems. We will study the formalism of decoherence and look at several approaches to decoherence. In examining a system of quantum Brownian motion and using the methods of Feynman and Vernon, we derive an equation of motion for the density matrix, the master equation of the system. This leads us to a brief overview of decoherence. PACS Nos.: 03.65.Ta, 03.65.w, 03.65.Yz, 04.60.m, 05.30.d

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4

Huang, Zhiming. "Suppressing decoherence of noisy environment through filtering operator." International Journal of Modern Physics B 34, no. 07 (March 11, 2020): 2050051. http://dx.doi.org/10.1142/s0217979220500514.

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Inevitable interaction between quantum system and environment will induce decoherence which would destroy the quantum coherence (QC) of quantum system. In this paper, we examine the QC behaviors for a single qubit locally coupled to the zero-temperature multiple bosonic reservoirs. Comparing the Markovian and non-Markovian QC behaviors, it is demonstrated that QC decays as decoherent time goes by, and non-Markovian QC exhibits obvious oscillating behaviors. The oscillatory frequency and amplitude increase with growing coupling strength and number of reservoirs. In addition, in non-Markovian regime, QC vanishes at some discrete critical time points. Finally, we reveal an effective method to suppress decoherence with filtering operation.

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5

Stamp, P. C. E. "Environmental decoherence versus intrinsic decoherence." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 370, no. 1975 (September 28, 2012): 4429–53. http://dx.doi.org/10.1098/rsta.2012.0162.

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We review the difference between standard environmental decoherence and ‘intrinsic decoherence’, which is taken to be an ineluctable process of Nature. Environmental decoherence is typically modelled by spin bath or oscillator modes—we review some of the unanswered questions not captured by these models, and also the application of them to experiments. Finally, a sketch is given of a new theoretical approach to intrinsic decoherence, and this scheme is applied to the discussion of gravitational decoherence.

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6

Hagar, Amit. "Decoherence." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 370, no. 1975 (September 28, 2012): 4425–28. http://dx.doi.org/10.1098/rsta.2012.0296.

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7

Kowalski, Andres M., and Angelo Plastino. "Decoherence, Anti-Decoherence, and Fisher Information." Entropy 23, no. 8 (August 12, 2021): 1035. http://dx.doi.org/10.3390/e23081035.

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In this work, we study quantum decoherence as reflected by the dynamics of a system that accounts for the interaction between matter and a given field. The process is described by an important information geometry tool: Fisher’s information measure (FIM). We find that it appropriately describes this concept, detecting salient details of the quantum–classical changeover (qcc). A good description of the qcc report can thus be obtained; in particular, a clear insight into the role that the uncertainty principle (UP) plays in the pertinent proceedings is presented. Plotting FIM versus a system’s motion invariant related to the UP, one can also visualize how anti-decoherence takes place, as opposed to the decoherence process studied in dozens of papers. In Fisher terms, the qcc can be seen as an order (quantum)–disorder (classical, including chaos) transition.

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8

Dorner, U., A. Klein, and D. Jaksch. "A quantum repeater based on decoherence free subspaces." Quantum Information and Computation 8, no. 5 (May 2008): 468–88. http://dx.doi.org/10.26421/qic8.5-7.

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We study a quantum repeater which is based on decoherence free quantum gates recently proposed by Klein {\it et al.} [Phys. Rev. A, {\bf 73}, 012332 (2006)]. A number of operations on the decoherence free subspace in this scheme makes use of an ancilla qubit, which undergoes dephasing and thus introduces decoherence to the system. We examine how this decoherence affects entanglement swapping and purification as well as the performance of a quantum repeater. We compare the decoherence free quantum repeater with a quantum repeater based on qubits that are subject to decoherence and show that it outperforms the latter when decoherence due to long waiting times of conventional qubits becomes significant. Thus, a quantum repeater based on decoherence free subspaces is a possibility to greatly improve quantum communication over long or even intercontinental distances.

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9

Fagnola, Franco, Emanuela Sasso, and Veronica Umanità. "Structure of Uniformly Continuous Quantum Markov Semigroups with Atomic Decoherence-free Subalgebra." Open Systems & Information Dynamics 24, no. 03 (September 2017): 1740005. http://dx.doi.org/10.1142/s1230161217400054.

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We establish the structure of uniformly continuous quantum Markov semigroups with atomic decoherence-free subalgebra and apply the result to derive a natural decomposition of a Markovian open quantum system into its noiseless (decoherence-free) and irreducible (ergodic) components. We deduce the structure of invariant states and a method for finding decoherence-free subsystems and subspaces. The relationship between environment induced decoherence and the decoherence-free subalgebra is also discussed.

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10

Filatov, Stanislav, and Marcis Auzinsh. "Unitarity of Decoherence Implies Possibility of Decoherence-like Dynamics towards Macroscopic Superpositions." Entropy 24, no. 11 (October 28, 2022): 1546. http://dx.doi.org/10.3390/e24111546.

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Quantum decoherence is crucial to understanding the emergence of the classical world from the underlying quantum reality. Decoherence dynamics are unitary, although they superselect a preferred eigenbasis. Decoherence dynamics result in stable macroscopic, localized, classical-like states. We show that the above-mentioned facts imply the possibility of the existence of decoherence-like dynamics that result in stable macroscopic non-localized non-classical-like states. Being rooted in the fabric of the decoherence theory itself, this property implies environments that steer the decoherence towards, for example, spatial superpositions of macroscopic objects. To demonstrate this, we provide thought-experimental, mathematical and philosophical arguments.

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11

Daddi Hammou, Aoumeur, and Nicola Bartolo. "Cosmic decoherence: primordial power spectra and non-Gaussianities." Journal of Cosmology and Astroparticle Physics 2023, no. 04 (April 1, 2023): 055. http://dx.doi.org/10.1088/1475-7516/2023/04/055.

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Abstract We study the effect of quantum decoherence on the inflationary cosmological perturbations. This process might imprint specific observational signatures revealing the quantum nature of the inflationary mechanism being related to the longstanding issue of the quantum-to-classical transition of inflationary fluctuations. Several works have investigated the effect of quantum decoherence on the statistical properties of primordial fluctuations. In particular, it has been shown that cosmic decoherence leads to corrections to the curvature power spectrum predicted by standard slow-roll inflation. Equally interesting, a non zero curvature trispectrum has been shown to be purely induced by cosmic decoherence but, surprisingly, decoherence seems not to generate any bispectrum. We further develop such an analysis by adopting a generalized form of the pointer observable, showing that decoherence does induce a non vanishing curvature bispectrum and providing a specific underlying concrete physical process. Present constraints on primordial bispectra allow to put an upper bound on the strength of the environment-system interaction. In full generality, the decoherence-induced bispectrum can be scale dependent provided one imposes the corresponding correction to the power spectrum to be scale independent. Such scale dependence on the largest cosmological scales might represent a distinctive imprint of the quantum decoherence process taking place during inflation. We also provide a criterion that allows to understand when cosmic decoherence induces scale independent corrections, independently of the type of environment considered. As a final result, we study the effect of cosmic decoherence on tensor perturbations and we derive the decoherence corrected tensor-to-scalar perturbation ratio. In specific cases, decoherence induces a blue tilted correction to the standard tensor power spectrum.

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12

Moran, Stacey. "Quantum Decoherence." Philosophy Today 63, no. 4 (2019): 1051–68. http://dx.doi.org/10.5840/philtoday20191220295.

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The central argument in this essay is that while the concept of entanglement offers materialism the promise of a conceptually rich field of new “entangled” entities, by itself, entanglement is ill-equipped to contend with the thorny questions of how power is organized among those entities. This essay proposes that decoherence provides a welcome complement to entanglement.

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13

Bassi, Angelo, André Großardt, and Hendrik Ulbricht. "Gravitational decoherence." Classical and Quantum Gravity 34, no. 19 (September 13, 2017): 193002. http://dx.doi.org/10.1088/1361-6382/aa864f.

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14

Zelenov, E. I. "Adelic decoherence." P-Adic Numbers, Ultrametric Analysis, and Applications 4, no. 1 (January 2012): 84–87. http://dx.doi.org/10.1134/s2070046612010104.

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15

Anglin, J. R., J. P. Paz, and W. H. Zurek. "Deconstructing decoherence." Physical Review A 55, no. 6 (June 1, 1997): 4041–53. http://dx.doi.org/10.1103/physreva.55.4041.

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16

Kim, Y. S., and M. E. Noz. "Feynman’s decoherence." Optics and Spectroscopy 94, no. 5 (May 2003): 733–40. http://dx.doi.org/10.1134/1.1576844.

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17

Schlosshauer, Maximilian. "Quantum decoherence." Physics Reports 831 (October 2019): 1–57. http://dx.doi.org/10.1016/j.physrep.2019.10.001.

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18

Dell’Antonio, Gianfausto. "On decoherence." Journal of Mathematical Physics 44, no. 11 (November 2003): 4939–56. http://dx.doi.org/10.1063/1.1616202.

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19

Schleich, Wolfgang P. "Engineering decoherence." Nature 403, no. 6767 (January 2000): 256–57. http://dx.doi.org/10.1038/35002223.

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20

Kennerly, Sam. "Illusory Decoherence." Foundations of Physics 42, no. 9 (May 26, 2012): 1200–1209. http://dx.doi.org/10.1007/s10701-012-9664-6.

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21

Fedichkin, L., D. Solenov, and C. Tamon. "Mixing and decoherence in quantum walks on cycles." Quantum Information and Computation 6, no. 3 (May 2006): 263–76. http://dx.doi.org/10.26421/qic6.3-3.

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We prove analytical results showing that decoherence can be useful for mixing time in a continuous-time quantum walk on finite cycles. This complements the numerical observations by Kendon and Tregenna (Physical Review A 67 (2003), 042315) of a similar phenomenon for discrete-time quantum walks. Our analytical treatment of continuous-time quantum walks includes a continuous monitoring of all vertices that induces the decoherence process. We identify the dynamics of the probability distribution and observe how mixing times undergo the transition from quantum to classical behavior as our decoherence parameter grows from zero to infinity. Our results show that, for small rates of decoherence, the mixing time improves linearly with decoherence, whereas for large rates of decoherence, the mixing time deteriorates linearly towards the classical limit. In the middle region of decoherence rates, our numerical data confirms the existence of a unique optimal rate for which the mixing time is minimized.

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22

Im, Dong-Gil, and Yoon-Ho Kim. "Decoherence-Induced Sudden Death of Entanglement and Bell Nonlocality." Photonics 9, no. 2 (January 24, 2022): 58. http://dx.doi.org/10.3390/photonics9020058.

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Decoherence due to the unwanted interaction between a quantum system and environment leads to the degradation of quantum coherence. In particular, for an entangled state, decoherence makes a loss of entanglement and Bell nonlocality known as entanglement sudden death (ESD), and Bell nonlocality sudden death (BNSD). Here, we theoretically investigate the entanglement and Bell nonlocality of a bipartite entangled state under three types of decoherence, amplitude damping, phase damping, and depolarizing. Our result provides the bound of decoherence strength that does not lose the entanglement and Bell nonlocality. In addition, we find two interesting features. One is that the entanglement can survive even though one of the entangled qubits is affected by a large strength of decoherence if the other qubit is affected by a small enough strength of decoherence except for the depolarizing. The second one is that when a specific form of entangled state is under amplitude damping, the Bell nonlocality shows an asymmetric behavior respect to the decoherence strengths on each qubit. Our work provides comprehensive information on ESD and BNSD for the bipartite entangled state which will be useful to implement quantum information processing in the presence of decoherence.

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23

BHATTACHARYA, SAMYADEB, and SISIR ROY. "LASER TRAPPING OF IONS AND ASYMPTOTIC MINIMIZATION OF DECOHERENCE." Modern Physics Letters B 27, no. 18 (July 11, 2013): 1350137. http://dx.doi.org/10.1142/s0217984913501376.

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Decoherence time has been calculated for an optical ion trap of Be atoms in a bistable potential model. Comparison has been made between decoherence time and Zeno time for double well potential as a special case. Zeno time is considered as a lower limit of decoherence time for sustainable quantum coherence. Equality of the respective timescales provides a certain transitional temperature, below which decoherence can be asymptotically minimized.

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24

JI, YING-HUA, and YAN-YAN JIANG. "INVESTIGATION OF DECOHERENCE OF SUPERCONDUCTING FLUX QUBIT ENTANGLED WITH THE ENVIRONMENT." Modern Physics Letters B 22, no. 08 (March 30, 2008): 581–94. http://dx.doi.org/10.1142/s021798490801505x.

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In the Born–Markov approximation, decoherence property of superconducting quantum circuit with a flux qubit is investigated. Using Kirchhoff's laws of classical circuit and quantum theory, we derive a Hamiltonian of the circuit. Then, combining with the Bloch–Redfield equation and in the two-level approximation, the energy relaxation time and the decoherence time of superconducting qubits is studied. Compared to the spin-boson model, this method not only investigates a decoherence being caused by the dissipative environment, but also the decoherence being generated by the dissipative elements in a superconducting electronic circuit. Hence, it is good for studying the decoherence of superconducting qubits.

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25

Alicki, Robert. "Pure Decoherence in Quantum Systems." Open Systems & Information Dynamics 11, no. 01 (March 2004): 53–61. http://dx.doi.org/10.1023/b:opsy.0000024755.58888.ac.

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A popular model of decoherence based on the linear coupling to harmonic oscillator heat baths is analysed and shown to be inappropriate in the regime where decoherence dominates over energy dissipation, called pure decoherence regime. The similar mechanism essentially related to the energy conservation implies that, on the contrary to some recent conjectures [21], chaotic environments can be less efficient decoherers than regular ones. Finally, the elastic scattering mechanism is advocated as the simplest source of pure decoherence.

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26

Çetinbaş, Murat, and Gary W. Leach. "Immunizing quantum information against decoherence via decoherence-free environments." Journal of Physics A: Mathematical and Theoretical 44, no. 13 (February 24, 2011): 135301. http://dx.doi.org/10.1088/1751-8113/44/13/135301.

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27

Hu, Juju, Qiang Ke, and Yinghua Ji. "Dynamical decoupling with initial system-environment correlations." International Journal of Modern Physics B 35, no. 05 (January 29, 2021): 2150068. http://dx.doi.org/10.1142/s0217979221500685.

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Dynamical decoupling (DD) technique is one of the most successful methods to suppress decoherence in qubit systems. In this paper, we studied a solvable pure dephasing model and investigated how DD sequences and initial correlations affect this system. We gave the analytical expressions of decoherence functions and compared the decoherence suppression effects of DD pulses in Ohmic, sub-Ohmic and super-Ohmic environments. Our results show that (1) The initial system-environment correlation will cause additional decoherence. In order to control the dynamic process of open quantum system more accurately and effectively, the initial correlation between the system and reservoir must be considered. (2) High frequency DD pulses can significantly reduce the amplitude of the decoherence function even in the presence of initial system-environment correlations.

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28

Rodríguez-Rosario, César A., Thomas Frauenheim, and Alán Aspuru-Guzik. "Quantum Coherences as a Thermodynamic Potential." Open Systems & Information Dynamics 26, no. 04 (December 2019): 1950022. http://dx.doi.org/10.1142/s1230161219500227.

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Here we demonstrate how the interplay between quantum coherences and a decoherence bath, such as one given by continuos quantum measurements, lead to new kinds of thermodynamic potentials and flows. We show how a mathematical extension of thermodynamics includes decoherence baths leading to a more general sense of the zeroth and first law. We also show how decoherence adds contributions to the change in entropy production in the second law. We derive a thermodynamic potential that depends only on the interplay between quantum coherences and a decoherence thermodynamic bath. This leads to novel thermodynamic effects, such as Onsager relationships that depend on quantum coherences. This provides a thermodynamics interpretation of the role of decoherence on quantum transport in very general systems.

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29

QIN, MENG, XUAN CHEN, and CUI-CUI LIU. "HEAT-BATH-INDUCED DECAY OF TELEPORTATION FIDELITY OF THE X-STATES." International Journal of Modern Physics B 26, no. 15 (June 5, 2012): 1250097. http://dx.doi.org/10.1142/s021797921250097x.

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Quantum entanglement and teleportation of two qubit X-states subject to heat bath is investigated by partial teleportation protocol. We obtain the analytical expressions of the average fidelity for the X-states with one-side decoherence and two-side decoherence. The quality of quantum teleportation with various initial states is investigated by explicitly calculating the concurrence, the output concurrence and the average fidelity. The results demonstrate that the model is suitable for teleportation, which depends on the initial state. However, the mean thermal occupation number of bath and decoherence could induce the decrease of the output entanglement and the average fidelity in the quantum teleportation processing. We also find the quantum teleportation protocol of one-side decoherence is more robust than that of under two-side decoherence.

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30

Xie, Dong, Chunling Xu, and An Min Wang. "Gravitational time dilation induced decoherence in spontaneous emission." Modern Physics Letters B 31, no. 23 (August 20, 2017): 1750214. http://dx.doi.org/10.1142/s0217984917502141.

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We investigate decoherence of quantum superpositions induced by gravitational time dilation and spontaneous emission between two atomic levels. It has been shown that gravitational time dilation can be a universal decoherence source by Pikovski et al. Here, we consider the decoherence induced by the gravitational time dilation only in the situation of spontaneous emission. We obtain the analytical results of the coherence of particle’s position state. Then, we obtain that the coherence of particle’s position state depends on reference frame because the time dilation changes the distinguishability of emitted photons from two positions of particle in different reference frames. For observing the decoherence effect induced by the gravitational time dilation, time-delayed feedback can be utilized to increase the decoherence of particle’s superposition state.

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31

Ou, Congjie, and Sumiyoshi Abe. "On Nonuniqueness of Quantum Channel for Fixed Input-Output States: Case of Decoherence Channel." Symmetry 14, no. 2 (January 22, 2022): 214. http://dx.doi.org/10.3390/sym14020214.

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For a fixed pair of input and output states in the space HA of a system A, a quantum channel, i.e., a linear, completely positive and trace-preserving map, between them is not unique, in general. Here, this point is discussed specifically for a decoherence channel, which maps from a pure input state to a completely decoherent state like the thermal state. In particular, decoherence channels of two different types are analyzed: one is unital and the other is not, and both of them can be constructed through reduction of B in the total extended space HA⊗HB, where HB is the space of an ancillary system B that is a replica of A. The nonuniqueness is seen to have its origin in the unitary symmetry in the extended space. It is shown in an example of a two-qubit system how such symmetry is broken in the objective subspace HA due to entanglement between A and B. A comment is made on possible relevance of the present work to nanothermodynamics in view of quantum Darwinism.

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32

Jafarpour, Mojtaba, and Negar Naderi. "Qutrit teleportation under intrinsic decoherence." International Journal of Quantum Information 14, no. 05 (August 2016): 1650028. http://dx.doi.org/10.1142/s0219749916500283.

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We study qutrit teleportation and its fidelity in the presence and absence of intrinsic decoherence through a qutrit channel. The channel consists of a Heisenberg chain with [Formula: see text] interaction model and the intrinsic decoherence is implemented through the Milburn model. It is shown that while the fidelity diminishes due to intrinsic decoherence, it may be enhanced if the channel is initially in an entangled state. It is also observed that, for stronger intrinsic decoherence, the initial entanglement of the channel is more effective in enhancing of fidelity.

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33

Dong, Yao, Ai-Ling Ji, and Guo-Feng Zhang. "Evolution of quantum coherence of qutrit-qutrit system under correlated depolarizing channels." Acta Physica Sinica 71, no. 7 (2022): 070303. http://dx.doi.org/10.7498/aps.71.20212067.

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In order to study the decoherence process of quantum system and find the ways to delay it, in this paper we investigate the decoherence process under correlated depolarizing channels by calculating the evolution of norm coherence, relative entropy coherence and basis-independent coherence of the three initial states: special initial state, maximum coherent state and isotropic state. From the analytic results, numerical results and evolution images, it can be found that 1) completely correlated channels can suppress decoherence to a greatest extent,. 2) the time point at which maximum decoherence occurs is irrelevant to the degree of correlation, but system’s decoherence evolution behavior depends on it. 3)the correlation of depolarizing channels can reinforce the collective quantum coherence between subsystems, and an inequality relation of basis-independent coherence is proved in this system.

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34

LI, SHANG-BIN, and JING-BO XU. "INFLUENCE OF INTRINSIC DECOHERENCE ON NONCLASSICAL PROPERTIES OF THE OUTPUT OF A BOSE–EINSTEIN CONDENSATE." Modern Physics Letters B 19, no. 01n02 (January 20, 2005): 35–46. http://dx.doi.org/10.1142/s0217984905008104.

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We investigate nonclassical properties of the output of a Bose–Einstein condensate in Milburn's model of intrinsic decoherence. It is shown that the squeezing property of the atom laser is suppressed due to decoherence. Nevertheless, if some very special conditions were satisfied, the squeezing properties of atom laser could be robust against the decoherence.

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35

Narth, Christophe, Natacha Gillet, Bernard Lévy, Isabelle Demachy, and Aurélien de la Lande. "Investigation of the molecular mechanisms of electronic decoherence within a quinone cofactor." Canadian Journal of Chemistry 91, no. 7 (July 2013): 628–36. http://dx.doi.org/10.1139/cjc-2012-0529.

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The notion of decoherence is particularly adapted to discuss the quantum-to-classical transition in the context of chemical reactions. Decoherence can be modeled by computing the time evolution of nuclear wave packets evolving on distinct potential energy surfaces, here using density functional theory (DFT) and Born–Oppenheimer molecular dynamics simulations. We investigate a redox cofactor of biological interest (tryptophan tryptophylquinone, TTQ) found in the enzyme methylamine dehydrogenase. We also report the first systematic comparison of semi-empirical DFT (tight-binding DFT) and classical force field approaches for estimating decoherence in molecular systems. In the TTQ cofactor, we find that decoherence combines structural and dynamical aspects: it is initiated by the divergent motions of few atoms and then propagates dynamically to the remaining atoms. It is the mass effect of all the atoms that leads to decoherence within a few femtosecond.

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36

XIE, DONG, and AN MIN WANG. "QUANTUM TRANSPORT IN THE MARKOVIAN AND NON-MARKOVIAN ENVIRONMENT." Modern Physics Letters B 27, no. 18 (July 11, 2013): 1350133. http://dx.doi.org/10.1142/s0217984913501339.

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In this paper, we report on a detailed study of how decoherence assists quantum transport in a dimer system. By carrying out analytical and numerical computations, we find that the decoherence induced by a Markovian (memoryless) environment only assists the maximum probability of quantum transport in the dimer system to 50% not close to the unity, and the decoherence induced by a non-Markovian environment with perfect memory (infinite memory time) can improve the maximum probability of quantum transport to unity. The combination of non-Markovian decoherence and Markovian decoherence assist the quantum transport more effectively. Comparing the classical environment with the quantum environment, we obtain that the classical non-Markovian environment cannot assist the maximum probability of quantum transport close to unity. In addition, enlarging the quantum environment can improve the maximum probability of quantum transport.

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37

AI, JIAN-FENG, JIAN-SONG ZHANG, and AI-XI CHEN. "TRANSMITTING BIPARTITE AND MULTIPARTITE CORRELATIONS VIA SPIN CHAINS UNDER PHASE DECOHERENCE." International Journal of Quantum Information 10, no. 06 (September 2012): 1250073. http://dx.doi.org/10.1142/s0219749912500736.

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We investigate the transfer of bipartite (measured by cocurrence) and multipartite (measured by global discord) quantum correlations though spin chains under phase decoherence. The influence of phase decoherence and anisotropy parameter upon quantum correlations transfer is investigated. On the one hand, in the case of no phase decoherence, there is no steady state quantum correlations between spins. On the other hand, if the phase decoherence is larger than zero, the bipartite quantum correlations can be transferred through a Heisenberg XXX chain for a long time and there is steady state bipartite entanglement. For a Heisenberg XX chain, bipartite entanglement between two spins is destroyed completely after a long time. Multipartite quantum correlations of all spins are more robust than bipartite quantum correlations. Thus, one can store multipartite quantum correlations in spin chains for a long time under phase decoherence.

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38

Unruh, W. G. "Decoherence without dissipation." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 370, no. 1975 (September 28, 2012): 4454–59. http://dx.doi.org/10.1098/rsta.2012.0163.

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That decoherence can take place in the presence of energy conservation seems to be a poorly known fact. That lack of knowledge has, for example, bedevilled the discussion of the ‘black hole information’ problem. I present a simple model that illustrates such energy-free decoherence.

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39

ALFINITO, ELEONORA, ROSARIO G. VIGLIONE, and GIUSEPPE VITIELLO. "THE DECOHERENCE CRITERION." Modern Physics Letters B 15, no. 04n05 (February 28, 2001): 127–35. http://dx.doi.org/10.1142/s0217984901001410.

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The decoherence mechanism signals the limits beyond which the system dynamics approaches the classical behavior. We show that in some cases decoherence may also signal the limits beyond which the system dynamics has to be described by quantum field theory, rather than by quantum mechanics.

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40

Ozaydin, Fatih, Ramita Sarkar, Veysel Bayrakci, Cihan Bayındır, Azmi Ali Altintas, and Özgür E. Müstecaplıoğlu. "Engineering Four-Qubit Fuel States for Protecting Quantum Thermalization Machine from Decoherence." Information 15, no. 1 (January 10, 2024): 35. http://dx.doi.org/10.3390/info15010035.

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Decoherence is a major issue in quantum information processing, degrading the performance of tasks or even precluding them. Quantum error-correcting codes, creating decoherence-free subspaces, and the quantum Zeno effect are among the major means for protecting quantum systems from decoherence. Increasing the number of qubits of a quantum system to be utilized in a quantum information task as a resource expands the quantum state space. This creates the opportunity to engineer the quantum state of the system in a way that improves the performance of the task and even to protect the system against decoherence. Here, we consider a quantum thermalization machine and four-qubit atomic states as its resource. Taking into account the realistic conditions such as cavity loss and atomic decoherence due to ambient temperature, we design a quantum state for the atomic resource as a classical mixture of Dicke and W states. We show that using the mixture probability as the control parameter, the negative effects of the inevitable decoherence on the machine performance almost vanish. Our work paves the way for optimizing resource systems consisting of a higher number of atoms.

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41

Richter, Monika, Bartosz Dziewit, and Jerzy Dajka. "The Quantum Cheshire Cat Effect in the Presence of Decoherence." Advances in Mathematical Physics 2018 (2018): 1–8. http://dx.doi.org/10.1155/2018/7060586.

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Even the subtle and apparently strange quantum effects can sometimes survive otherwise lethal influence of an omnipresent decoherence. We show that an archetypal quantum Cheshire Cat, a paradox of a separation between a position of a quantum particle, a photon, and its internal property, the polarization, in a two-path Mach–Zehnder setting, is robust to decoherence caused by a bosonic infinite bath locally coupled to the polarization of a photon. Decoherence affects either the cat or its grin depending on which of the two paths is noisy. For a pure decoherence, in an absence of photon–environment energy exchange, we provide exact results for weak values of the photon position and polarization indicating that the information loss affects the quantum Cheshire Cat only qualitatively and the paradox survives. We show that it is also the case beyond the pure decoherence for a small rate of dissipation.

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42

SALIMI, S., and R. RADGOHAR. "THE EFFECT OF DECOHERENCE ON MIXING TIME IN CONTINUOUS-TIME QUANTUM WALKS ON ONE-DIMENSIONAL REGULAR NETWORKS." International Journal of Quantum Information 08, no. 05 (August 2010): 795–806. http://dx.doi.org/10.1142/s0219749910006575.

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In this paper, we study decoherence in continuous-time quantum walks (CTQWs) on one-dimensional regular networks. For this purpose, we assume that every node is represented by a quantum dot continuously monitored by an individual point contact (Gurvitz's model). This measuring process induces decoherence. We focus on small rates of decoherence and then obtain the mixing time bound of the CTQWs on the one-dimensional regular network, whose distance parameter is l ≥ 2. Our results show that the mixing time is inversely proportional to the rate of decoherence, which is in agreement with the mentioned results for cycles in Refs. 29 and 37. Also, the same result is provided in Ref. 38 for long-range interacting cycles. Moreover, we find that this quantity is independent of the distance parameter l (l ≥ 2) and that the small values of decoherence make short the mixing time on these networks.

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43

Martin, Jérôme, Amaury Micheli, and Vincent Vennin. "Discord and decoherence." Journal of Cosmology and Astroparticle Physics 2022, no. 04 (April 1, 2022): 051. http://dx.doi.org/10.1088/1475-7516/2022/04/051.

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Abstract In quantum information theory, quantum discord has been proposed as a tool to characterise the presence of “quantum correlations” between the subparts of a given system. Whether a system behaves quantum-mechanically or classically is believed to be impacted by the phenomenon of decoherence, which originates from the unavoidable interaction between this system and an environment. Generically, decoherence is associated with a decrease of the state purity, i.e. a transition from a pure to a mixed state. In this paper, we investigate how quantum discord is modified by this quantum-to-classical transition. This study is carried out on systems described by quadratic Hamiltonians and Gaussian states, with generalised squeezing parameters. A generic parametrisation is also introduced to describe the way the system is partitioned into two subsystems. We find that the evolution of quantum discord in presence of an environment is a competition between the growth of the squeezing amplitude and the decrease of the state purity. In phase space, this corresponds to whether the semi-minor axis of the Wigner ellipse increases or decreases, which has a clear geometrical interpretation. Finally, these considerations are applied to primordial cosmological perturbations, thus allowing us to investigate how large-scale structures in our universe, which are believed to arise from quantum fluctuations, can exhibit classical properties.

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44

Martin, Jérôme, Amaury Micheli, and Vincent Vennin. "Discord and decoherence." Journal of Cosmology and Astroparticle Physics 2022, no. 04 (April 1, 2022): 051. http://dx.doi.org/10.1088/1475-7516/2022/04/051.

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Abstract In quantum information theory, quantum discord has been proposed as a tool to characterise the presence of “quantum correlations” between the subparts of a given system. Whether a system behaves quantum-mechanically or classically is believed to be impacted by the phenomenon of decoherence, which originates from the unavoidable interaction between this system and an environment. Generically, decoherence is associated with a decrease of the state purity, i.e. a transition from a pure to a mixed state. In this paper, we investigate how quantum discord is modified by this quantum-to-classical transition. This study is carried out on systems described by quadratic Hamiltonians and Gaussian states, with generalised squeezing parameters. A generic parametrisation is also introduced to describe the way the system is partitioned into two subsystems. We find that the evolution of quantum discord in presence of an environment is a competition between the growth of the squeezing amplitude and the decrease of the state purity. In phase space, this corresponds to whether the semi-minor axis of the Wigner ellipse increases or decreases, which has a clear geometrical interpretation. Finally, these considerations are applied to primordial cosmological perturbations, thus allowing us to investigate how large-scale structures in our universe, which are believed to arise from quantum fluctuations, can exhibit classical properties.

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45

Gangopadhyay, Gautam, M. Sanjay Kumar, and Sushanta Dattagupta. "On dissipationless decoherence." Journal of Physics A: Mathematical and General 34, no. 27 (June 27, 2001): 5485–95. http://dx.doi.org/10.1088/0305-4470/34/27/302.

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46

Harris, Robert A., and Leo Stodolsky. "Anachrony in decoherence." Physics Today 63, no. 2 (February 2010): 10. http://dx.doi.org/10.1063/1.3326974.

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47

Bellomo, Bruno, Stephen M. Barnett, and John Jeffers. "Frictional quantum decoherence." Journal of Physics A: Mathematical and Theoretical 40, no. 31 (July 19, 2007): 9437–53. http://dx.doi.org/10.1088/1751-8113/40/31/019.

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48

Braun, Daniel, Fritz Haake, and Walter T. Strunz. "Universality of Decoherence." Physical Review Letters 86, no. 14 (April 2, 2001): 2913–17. http://dx.doi.org/10.1103/physrevlett.86.2913.

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49

Lutz, Eric. "Anomalous Lévy decoherence." Physics Letters A 293, no. 3-4 (January 2002): 123–28. http://dx.doi.org/10.1016/s0375-9601(02)00004-x.

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Ogata, Yoshiko. "Decoherence-free algebra." Physics Letters A 314, no. 1-2 (July 2003): 19–22. http://dx.doi.org/10.1016/s0375-9601(03)00868-5.

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