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Journal articles on the topic 'Heisenberg limit'

Author: Grafiati

Published: 25 May 2024

Last updated: 31 July 2025

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1

Gaete, Patricio. "Some Remarks on Nonlinear Electrodynamics." Advances in High Energy Physics 2016 (2016): 1–10. http://dx.doi.org/10.1155/2016/2463203.

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By using the gauge-invariant, but path-dependent, variables formalism, we study both massive Euler-Heisenberg-like and Euler-Heisenberg-like electrodynamics in the approximation of the strong-field limit. It is shown that massive Euler-Heisenberg-type electrodynamics displays the vacuum birefringence phenomenon. Subsequently, we calculate the lowest-order modifications to the interaction energy for both classes of electrodynamics. As a result, for the case of massive Euler-Heisenbeg-like electrodynamics (Wichmann-Kroll), unexpected features are found. We obtain a new long-range (1/r3-type) cor

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2

Putra, Fima Ardianto. "De Broglie Wave Analysis of the Heisenberg Uncertainty Minimum Limit under the Lorentz Transformation." Jurnal Teras Fisika 1, no. 2 (2018): 1. http://dx.doi.org/10.20884/1.jtf.2018.1.2.1008.

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A simple analysis using differential calculus has been done to consider the minimum limit of the Heisenberg uncertainty principle in the relativistic domain. An analysis is made by expressing the form of and based on the Lorentz transformation, and their corresponding relation according to the de Broglie wave packet modification. The result shows that in the relativistic domain, the minimum limit of the Heisenberg uncertainty is p x ?/2 and/or E t ?/2, with is the Lorentz factor which depend on the average/group velocity of relativistic de Broglie wave packet. While, the minimum limit accordin

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3

Luis, Alfredo. "Nonlinear transformations and the Heisenberg limit." Physics Letters A 329, no. 1-2 (2004): 8–13. http://dx.doi.org/10.1016/j.physleta.2004.06.080.

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4

Lisnyi, B. M. "Distorted Diamond Ising–Hubbard Chain in the Special Limit of Infinite On-Site Repulsion." Ukrainian Journal of Physics 69, no. 10 (2024): 732. http://dx.doi.org/10.15407/ujpe69.10.732.

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The exact solution of the distorted diamond Ising–Hubbard chain is analyzed in the special limit of infinite on-site electron-electron repulsion, where the two-electron Hubbard dimer becomes equivalent to the antiferromagnetic isotropic Heisenberg dimer. The special limit of infinite repulsion for the matrix of the cell Hamiltonian of this model is analytically calculated, and it is demonstrated that the exact solution of the distorted diamond Ising–Hubbard chain in this limit coincides with the exact solution of the spin-1/2 distorted diamond Ising–Heisenberg chain with antiferromagnetic isot

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5

SIOPSIS, GEORGE. "THE PENROSE LIMIT OF AdS×S SPACE AND HOLOGRAPHY." Modern Physics Letters A 19, no. 12 (2004): 887–95. http://dx.doi.org/10.1142/s0217732304013891.

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In the Penrose limit, AdS ×S space turns into a Cahen–Wallach (CW) space whose Killing vectors satisfy a Heisenberg algebra. This algebra is mapped onto the holographic screen on the boundary of AdS. We show that the Heisenberg algebra on the boundary of AdS may be obtained directly from the CW space by appropriately constraining the states defined on it. The transformations generated by the constraint are similar to gauge transformations. The "holographic screen" on the CW space is thus obtained as a "gauge-fixing" condition.

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6

Gietka, Karol, Friederike Metz, Tim Keller, and Jing Li. "Adiabatic critical quantum metrology cannot reach the Heisenberg limit even when shortcuts to adiabaticity are applied." Quantum 5 (July 1, 2021): 489. http://dx.doi.org/10.22331/q-2021-07-01-489.

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We show that the quantum Fisher information attained in an adiabatic approach to critical quantum metrology cannot lead to the Heisenberg limit of precision and therefore regular quantum metrology under optimal settings is always superior. Furthermore, we argue that even though shortcuts to adiabaticity can arbitrarily decrease the time of preparing critical ground states, they cannot be used to achieve or overcome the Heisenberg limit for quantum parameter estimation in adiabatic critical quantum metrology. As case studies, we explore the application of counter-diabatic driving to the Landau-

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7

Sanchidrián-Vaca, Carlos, and Carlos Sabín. "Parameter Estimation of Wormholes beyond the Heisenberg Limit." Universe 4, no. 11 (2018): 115. http://dx.doi.org/10.3390/universe4110115.

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We propose to exploit the quantum properties of nonlinear media to estimate the parameters of massless wormholes. The spacetime curvature produces a change in length with respect to Minkowski spacetime that can be estimated in principle with an interferometer. We use quantum metrology techniques to show that the sensitivity is improved with nonlinear media and propose a nonlinear Mach–Zehnder interferometer to estimate the parameters of massless wormholes that scales beyond the Heisenberg limit.

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8

Napolitano, M., M. Koschorreck, B. Dubost, N. Behbood, R. J. Sewell, and M. W. Mitchell. "Quantum Optics and the “Heisenberg Limit” of Measurement." Optics and Photonics News 22, no. 12 (2011): 40. http://dx.doi.org/10.1364/opn.22.12.000040.

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9

Ohring, Peter. "A central limit theorem on Heisenberg type groups." Proceedings of the American Mathematical Society 113, no. 2 (1991): 529. http://dx.doi.org/10.1090/s0002-9939-1991-1045146-7.

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10

Maleki, Yusef, and Aleksei M. Zheltikov. "Spin cat-state family for Heisenberg-limit metrology." Journal of the Optical Society of America B 37, no. 4 (2020): 1021. http://dx.doi.org/10.1364/josab.374221.

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11

Unternährer, Manuel, Bänz Bessire, Leonardo Gasparini, Matteo Perenzoni, and André Stefanov. "Super-resolution quantum imaging at the Heisenberg limit." Optica 5, no. 9 (2018): 1150. http://dx.doi.org/10.1364/optica.5.001150.

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12

TSVELIK, A. M. "TWO WEAKLY COUPLED HEISENBERG CHAINS—SOLUTION IN CONTINUOUS LIMIT." Modern Physics Letters B 05, no. 30 (1991): 1973–79. http://dx.doi.org/10.1142/s0217984991002379.

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Using the bosonization procedure proposed for the spin-1/2 Heisenberg chain in Ref. 8 we obtain the effective Hamiltonian for the system of two weakly coupled Heisenberg chains with the XXZ anisotropy as the sum of two sine-Gordon Hamiltonians. It appears that this simple system reveals a rather rich variety of properties in different regions of anisotropy. We calculate the spin-spin correlation functions; two-spin correlation functions decay exponentially but there are regions where the four-spin correlation functions decay as a power law. In particular, if both the inter- and intrachain exch

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13

Majumder, Arunava, Harshank Shrotriya, and Leong-Chuan Kwek. "Strategies for Positive Partial Transpose (PPT) States in Quantum Metrologies with Noise." Entropy 23, no. 6 (2021): 685. http://dx.doi.org/10.3390/e23060685.

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Quantum metrology overcomes standard precision limits and has the potential to play a key role in quantum sensing. Quantum mechanics, through the Heisenberg uncertainty principle, imposes limits on the precision of measurements. Conventional bounds to the measurement precision such as the shot noise limit are not as fundamental as the Heisenberg limits, and can be beaten with quantum strategies that employ ‘quantum tricks’ such as squeezing and entanglement. Bipartite entangled quantum states with a positive partial transpose (PPT), i.e., PPT entangled states, are usually considered to be too

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14

Kowalski, Andres Mauricio, Angelo Plastino, and Gaspar Gonzalez. "Classical Limit, Quantum Border and Energy." Physics 5, no. 3 (2023): 832–50. http://dx.doi.org/10.3390/physics5030053.

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We analyze the (dynamical) classic limit of a special semiclassical system. We describe the interaction of a quantum system with a classical one. This limit has been well studied before as a function of a constant of motion linked to the Heisenberg principle. In this paper, we investigate the existence of the mentioned limit, but with reference to the total energy of the system. Additionally, we find an attractive result regarding the border of the transition.

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15

Regeciová, Lubomíra, and Pavol Farkašovský. "Quantum design of magnetic structures with enhanced magnetocaloric properties." Journal of Physics D: Applied Physics 57, no. 45 (2024): 455301. http://dx.doi.org/10.1088/1361-6463/ad5e8f.

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Abstract The magnetization processes and magnetocaloric effect (MCE) of molecular magnets are studied using the quantum Heisenberg model with the goal of finding magnetic structures with optimal magnetocaloric properties. To fulfill this goal, we examine the influence of various factors such as quantum fluctuations, the magnitude and distribution of spins, the cluster size and its geometry on the conventional (cooling) and inverse (heating) MCE. We find, surprisingly, that the best cooling and heating effects are observed in the Ising limit on the smallest possible molecular clusters represent

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16

VILLAIN-GUILLOT, SIMON, and ROSSEN DANDOLOFF. "COUPLING CONSTANT AND MAGNON VELOCITY FOR A TWO-DIMENSIONAL QUANTUM HEISENBERG ANTIFERROMAGNET: THE CONTINUUM LIMIT." Modern Physics Letters B 10, no. 28 (1996): 1389–95. http://dx.doi.org/10.1142/s0217984996001565.

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We study Heisenberg spins on an infinite plane. Following an approach developed by Affleck, we find that the Heisenberg Hamiltonian is equivalent in the continuum limit to the nonlinear σ model. And we show that the auxiliary fields, which appear because of the conservation of the number of degrees of freedom, are related to the covariant derivatives of the order parameter. These auxiliary fields have to be taken into account in order to recover the expected values for the coupling constant and magnon velocity in two-dimensions.

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17

Stephan, W., and B. W. Southern. "Is there a phase transition in the isotropic Heisenberg anti-ferromagnet on the triangular lattice?" Canadian Journal of Physics 79, no. 11-12 (2001): 1459–61. http://dx.doi.org/10.1139/p01-086.

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The phase diagram of the classical anisotropic (XXZ) Heisenberg model on the two-dimensional triangular lattice is investigated using Monte Carlo methods. In the easy-axis limit, two finite-temperature vortex-unbinding transitions have been observed. In the easy-plane limit, there also appear to be two distinct finite-temperature phase transitions that are very close in temperature. The upper transition corresponds to an Ising-like chirality ordering and the lower temperature transition corresponds to a KosterlitzThouless vortex-unbinding transition. These phase-transition lines all meet at t

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18

Hu, De Zhi. "Exploration of Hyperfine Micro-Machining Limit." Advanced Materials Research 941-944 (June 2014): 2145–48. http://dx.doi.org/10.4028/www.scientific.net/amr.941-944.2145.

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Combining the latest achievements of scientists to study cosmology, the machining accuracy of microelectronic devices is not the limit size of hyperfine micro-machining processing. In the future, it will develop a novel micro-machining method using dark energy and dark matter, and setup a new era. The paper introduces the Planck scale and the Heisenberg uncertainty relation into the Newtonian gravity for the model simplification. Newtonian gravity can be separated into two parts that is Dark Matter and Dark Energy. Every part is inverse relation to the distance.

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19

FARACH, H. A., R. J. CRESWICK, and C. P. POOLE. "THE RESTRICTED SPIN MODEL." Modern Physics Letters B 04, no. 16 (1990): 1029–41. http://dx.doi.org/10.1142/s0217984990001306.

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We present a novel anisotropic Heisenberg model in which the classical spin is restricted to a region of the unit sphere which depends on the value of the anisotropy parameter Δ. In the limit Δ→1, we recover the Ising model, and in the limit Δ→0, the isotopic Heisenberg model. Monte Carlo calculations are used to compare the critical temperature as a function of the anisotropy parameter for the restricted and unrestricted models, and finite-size scaling analysis leads to the conclusion that for all Δ>0 the model belongs to the Ising universality class. For small A the critical behavior is c

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20

Ohring, Peter. "A central limit theorem on Heisenberg type groups. II." Proceedings of the American Mathematical Society 118, no. 4 (1993): 1313. http://dx.doi.org/10.1090/s0002-9939-1993-1137231-8.

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21

Steuernagel, Ole, and Stefan Scheel. "Approaching the Heisenberg limit with two-mode squeezed states." Journal of Optics B: Quantum and Semiclassical Optics 6, no. 3 (2004): S66—S70. http://dx.doi.org/10.1088/1464-4266/6/3/011.

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22

Ham, Byoung S. "Intensity-Product-Based Optical Sensing to Beat the Diffraction Limit in an Interferometer." Sensors 24, no. 15 (2024): 5041. http://dx.doi.org/10.3390/s24155041.

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The classically defined minimum uncertainty of the optical phase is known as the standard quantum limit or shot-noise limit (SNL), originating in the uncertainty principle of quantum mechanics. Based on the SNL, the phase sensitivity is inversely proportional to K, where K is the number of interfering photons or statistically measured events. Thus, using a high-power laser is advantageous to enhance sensitivity due to the K gain in the signal-to-noise ratio. In a typical interferometer, however, the resolution remains in the diffraction limit of the K = 1 case unless the interfering photons ar

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23

Cao, Zhaozhong. "Uncertainty principle and complementary variables." Highlights in Science, Engineering and Technology 61 (July 30, 2023): 18–23. http://dx.doi.org/10.54097/hset.v61i.10260.

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The two most important areas in modern physics are quantum mechanics and the theory of relativity. Unlike classical physics, where Newton's mechanics dominates, these two areas change human beings' fundamental view of the universe. One of the theories that build up the base of quantum mechanics is Heisenberg's Uncertainty Principle. Starting from a thought experiment, Heisenberg's microscope in the setting of classical physics, Werner Heisenberg built a bridge between classical and quantum physics by presenting a counterintuitive outcome in the thought experiment. Since then, the observer of a

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24

Putra, Fima Ardianto. "On the Semiclassical Approach of the Heisenberg Uncertainty Relation in the Strong Gravitational Field of Static Blackhole." Jurnal Fisika Indonesia 22, no. 2 (2020): 15. http://dx.doi.org/10.22146/jfi.v22i2.34274.

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Heisenberg Uncertainty and Equivalence Principle are the fundamental aspect respectively in Quantum Mechanic and General Relativity. Combination of these principles can be stated in the expression of Heisenberg uncertainty relation near the strong gravitational field i.e. pr and Et . While for the weak gravitational field, both relations revert to pr and Et. It means that globally, uncertanty principle does not invariant. This work also shows local stationary observation between two nearby points along the radial direction of blackhole. The result shows that the lower point has larger uncertai

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25

Dutkiewicz, Alicja, Barbara M. Terhal, and Thomas E. O'Brien. "Heisenberg-limited quantum phase estimation of multiple eigenvalues with few control qubits." Quantum 6 (October 6, 2022): 830. http://dx.doi.org/10.22331/q-2022-10-06-830.

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Quantum phase estimation is a cornerstone in quantum algorithm design, allowing for the inference of eigenvalues of exponentially-large sparse matrices.The maximum rate at which these eigenvalues may be learned, –known as the Heisenberg limit–, is constrained by bounds on the circuit complexity required to simulate an arbitrary Hamiltonian. Single-control qubit variants of quantum phase estimation that do not require coherence between experiments have garnered interest in recent years due to lower circuit depth and minimal qubit overhead. In this work we show that these methods can achieve the

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26

Rendon, Gumaro, Jacob Watkins, and Nathan Wiebe. "Improved Accuracy for Trotter Simulations Using Chebyshev Interpolation." Quantum 8 (February 26, 2024): 1266. http://dx.doi.org/10.22331/q-2024-02-26-1266.

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Quantum metrology allows for measuring properties of a quantum system at the optimal Heisenberg limit. However, when the relevant quantum states are prepared using digital Hamiltonian simulation, the accrued algorithmic errors will cause deviations from this fundamental limit. In this work, we show how algorithmic errors due to Trotterized time evolution can be mitigated through the use of standard polynomial interpolation techniques. Our approach is to extrapolate to zero Trotter step size, akin to zero-noise extrapolation techniques for mitigating hardware errors. We perform a rigorous error

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27

LAI, YUN-ZHONG, ZHAN-NING HU, J. Q. LIANG, and FU-CHO PU. "INTEGRABLE XYZ HAMILTONIAN WITH NEXT-NEAREST-NEIGHBOR INTERACTION." International Journal of Modern Physics B 13, no. 07 (1999): 847–58. http://dx.doi.org/10.1142/s0217979299000710.

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In this paper, we construct a Hamiltonian of the impurity model with next-nearest-neighbor interaction within the framework of the open boundary Heisenberg XYZ spin chain. This impurity model is an exactly solved one and it degenerates to the integrable XXZ impurity model under the triangular limit. It is the first approach to add the impurities and next-nearest-neighbor interaction to the integrable completely anisotropic Heisenberg spin chain. We find also that the impurity parameters in the bulk are real when the cross parameter is imaginary for the Hermitian Hamiltonian, or vice versa, whe

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28

JANIŠ, V., and D. VOLLHARDT. "COMPREHENSIVE MEAN FIELD THEORY FOR THE HUBBARD MODEL." International Journal of Modern Physics B 06, no. 05n06 (1992): 731–47. http://dx.doi.org/10.1142/s0217979292000438.

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We derive an exact expression for the grand potential of the Hubbard model in d=∞ dimensions. By simplifying the energy transfer between up and down spins we obtain a comprehensive mean-field theory for this model. It is (i) thermodynamically consistent in the entire range of input parameters, (ii) conserving and, (iii) exact in several non-trivial limits, e. g. in the free (U→0), atomic (t→0) and Heisenberg (U≫t, n=1) limit.

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29

Franceschi, Valentina, Francescopaolo Montefalcone, and Roberto Monti. "CMC Spheres in the Heisenberg Group." Analysis and Geometry in Metric Spaces 7, no. 1 (2019): 109–29. http://dx.doi.org/10.1515/agms-2019-0006.

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Abstract We study a family of spheres with constant mean curvature (CMC) in the Riemannian Heisenberg group H1. These spheres are conjectured to be the isoperimetric sets of H1. We prove several results supporting this conjecture. We also focus our attention on the sub-Riemannian limit.

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30

Maiti, Debasmita, Dayasindhu Dey, and Manoranjan Kumar. "Study of Interacting Heisenberg Antiferromagnet Spin-1/2 and 1 Chains." Condensed Matter 8, no. 1 (2023): 17. http://dx.doi.org/10.3390/condmat8010017.

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Haldane conjectures the fundamental difference in the energy spectrum of the Heisenberg antiferromagnetic (HAF) of the spin S chain is that the half-integer and the integer S chain have gapless and gapped energy spectrums, respectively. The ground state (gs) of the HAF spin-1/2 and spin-1 chains have a quasi-long-range and short-range correlation, respectively. We study the effect of the exchange interaction between an HAF spin-1/2 and an HAF spin-1 chain forming a normal ladder system and its gs properties. The inter-chain exchange interaction J⊥ can be either ferromagnetic (FM) or antiferrom

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31

Carfagnini, Marco, and Maria Gordina. "Small deviations and Chung’s law of iterated logarithm for a hypoelliptic Brownian motion on the Heisenberg group." Transactions of the American Mathematical Society, Series B 9, no. 9 (2022): 322–42. http://dx.doi.org/10.1090/btran/102.

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32

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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33

FLOYD, EDWARD R. "CLASSICAL LIMIT OF THE TRAJECTORY REPRESENTATION OF QUANTUM MECHANICS, LOSS OF INFORMATION AND RESIDUAL INDETERMINACY." International Journal of Modern Physics A 15, no. 09 (2000): 1363–78. http://dx.doi.org/10.1142/s0217751x00000604.

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The trajectory representation in the classical limit (ℏ→0) manifests a residual indeterminacy. We show that the trajectory representation in the classical limit goes to neither classical mechanics (Planck's correspondence principle) nor statistical mechanics. This residual indeterminacy is contrasted to Heisenberg uncertainty. We discuss the relationship between residual indeterminacy and 't Hooft's information loss and equivalence classes.

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34

RAPOSO, E. P., and M. D. COUTINHO-FILHO. "SPIN WAVES AND THE STRONG COUPLING LIMIT IN POLYMERIC HUBBARD CHAINS." Modern Physics Letters B 09, no. 13 (1995): 817–22. http://dx.doi.org/10.1142/s0217984995000760.

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We derive the strong-coupling limit of the Hubbard Hamiltonian in a class of polymeric chains displaying a ferrimagnetic structure. The derived Heisenberg Hamiltonian is used to calculate the spin-wave spectrum of the system. It is shown that there is a critical value for an external applied magnetic field above which the ferrimagnetic ordering becomes unstable.

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35

Ge, Zhong. "Collapsing Riemannian Metrics to Carnot-Caratheodory Metrics and Laplacians to Sub-Laplacians." Canadian Journal of Mathematics 45, no. 3 (1993): 537–53. http://dx.doi.org/10.4153/cjm-1993-028-6.

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AbstractWe study the asymptotic behavior of the Laplacian on functions when the underlying Riemannian metric is collapsed to a Carnot-Carathéodory metric. We obtain a uniform short time asymptotics for the trace of the heat kernel in the case when the limit Carnot-Carathéodory metric is almost Heisenberg, the limit of which is the result of Beal-Greiner-Stanton, and Stanton-Tartakoff.

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36

Yin, Chao, and Andrew Lucas. "Heisenberg-limited metrology with perturbing interactions." Quantum 8 (March 28, 2024): 1303. http://dx.doi.org/10.22331/q-2024-03-28-1303.

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We show that it is possible to perform Heisenberg-limited metrology on GHZ-like states, in the presence of generic spatially local, possibly strong interactions during the measurement process. An explicit protocol, which relies on single-qubit measurements and feedback based on polynomial-time classical computation, achieves the Heisenberg limit. In one dimension, matrix product state methods can be used to perform this classical calculation, while in higher dimensions the cluster expansion underlies the efficient calculations. The latter approach is based on an efficient classical sampling al

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37

Zhang, Pan-Pan, Zhong-Yang Gao, Yu-Liang Xu, Chun-Yang Wang, and Xiang-Mu Kong. "Phase diagrams, quantum correlations and critical phenomena of antiferromagnetic Heisenberg model on diamond-type hierarchical lattices." Quantum Science and Technology 7, no. 2 (2022): 025024. http://dx.doi.org/10.1088/2058-9565/ac57f4.

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Abstract The spin-1/2 antiferromagnetic (AF) Heisenberg systems are studied on three typical diamond-type hierarchical lattices (systems A, B and C) with fractal dimensions 1.63, 2 and 2.58, respectively, and the phase diagrams, critical phenomena and quantum correlations are calculated by a combination of the equivalent transformation and real-space renormalization group methods. We find that there exist a reentrant behavior for system A and a finite temperature phase transition in the isotropic Heisenberg limit for system C (not for system B). Unlike the ferromagnetic case, the Néel temperat

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38

Viktor, Gerasimenko. "Heisenberg picture of quantum kinetic evolution in mean-field limit." Kinetic & Related Models 4, no. 1 (2011): 385–99. http://dx.doi.org/10.3934/krm.2011.4.385.

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39

Dunningham, J., and T. Kim. "Using quantum interferometers to make measurements at the Heisenberg limit." Journal of Modern Optics 53, no. 4 (2006): 557–71. http://dx.doi.org/10.1080/09500340500443268.

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40

Napolitano, M., M. Koschorreck, B. Dubost, N. Behbood, R. J. Sewell, and M. W. Mitchell. "Interaction-based quantum metrology showing scaling beyond the Heisenberg limit." Nature 471, no. 7339 (2011): 486–89. http://dx.doi.org/10.1038/nature09778.

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41

Holland, M. J., and K. Burnett. "Interferometric detection of optical phase shifts at the Heisenberg limit." Physical Review Letters 71, no. 9 (1993): 1355–58. http://dx.doi.org/10.1103/physrevlett.71.1355.

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42

Nosraty, Farzam. "Heisenberg Limit Phase Sensitivity in the Presence of Decoherence Channels." Communications in Theoretical Physics 65, no. 2 (2016): 225–30. http://dx.doi.org/10.1088/0253-6102/65/2/225.

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43

Tsarev, D. V., and S. M. Arakelian. "Quantum metrology beyond Heisenberg limit with entangled matter wave solitons." Optics Express 26, no. 15 (2018): 19583. http://dx.doi.org/10.1364/oe.26.019583.

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44

Yi, Hong-Gang, and Rong-Hua Chen. "Quantum Fisher Information and Heisenberg Limit in Multi-qubit State." International Journal of Theoretical Physics 52, no. 1 (2012): 233–38. http://dx.doi.org/10.1007/s10773-012-1324-2.

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45

Lantaño, T. B., Dayou Yang, K. M. R. Audenaert, S. F. Huelga, and M. B. Plenio. "Unlocking Heisenberg Sensitivity with Sequential Weak Measurement Preparation." Quantum 9 (January 14, 2025): 1590. https://doi.org/10.22331/q-2025-01-14-1590.

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We propose a state preparation protocol based on sequential measurements of a central spin coupled with a spin ensemble, and investigate the usefulness of the generated multi-spin states for quantum enhanced metrology. Our protocol is shown to generate highly entangled spin states, devoid of the necessity for non-linear spin interactions. The metrological sensitivity of the resulting state surpasses the standard quantum limit, reaching the Heisenberg limit under symmetric coupling strength conditions. We also explore asymmetric coupling strengths, identifying specific preparation windows in ti

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46

Tartaglia, Angelo, and Matteo Luca Ruggiero. "From Kerr to Heisenberg." Entropy 23, no. 3 (2021): 315. http://dx.doi.org/10.3390/e23030315.

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In this paper, we consider the space-time of a charged mass endowed with an angular momentum. The geometry is described by the exact Kerr–Newman solution of the Einstein equations. The peculiar symmetry, though exact, is usually described in terms of the gravito-magnetic field originated by the angular momentum of the source. A typical product of this geometry is represented by the generalized Sagnac effect. We write down the explicit form for the right/left asymmetry of the times of flight of two counter-rotating light beams along a circular trajectory. Letting the circle shrink to the origin

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47

BATLE, J., A. PLASTINO, A. R. PLASTINO, and M. CASAS. "DISCORD-ENTANGLEMENT INTERPLAY IN THE THERMODYNAMIC LIMIT: THE XY-MODEL." International Journal of Quantum Information 11, no. 01 (2013): 1350003. http://dx.doi.org/10.1142/s0219749913500032.

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We investigate thermal properties of quantum correlations in the thermodynamic limit with reference to the XY-model and the finite two-qubit Heisenberg model. Although this model has been the subject of active entanglement-research, the bulk of the pertinent work refers to finite instantiations. As a consequence, the temperature cannot be properly defined in such circumstances, a problem that is overcome here. Our effort should be of interest because quantum discord notion.

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48

Tessarotto, Massimo, and Claudio Cremaschini. "The Heisenberg Indeterminacy Principle in the Context of Covariant Quantum Gravity." Entropy 22, no. 11 (2020): 1209. http://dx.doi.org/10.3390/e22111209.

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The subject of this paper deals with the mathematical formulation of the Heisenberg Indeterminacy Principle in the framework of Quantum Gravity. The starting point is the establishment of the so-called time-conjugate momentum inequalities holding for non-relativistic and relativistic Quantum Mechanics. The validity of analogous Heisenberg inequalities in quantum gravity, which must be based on strictly physically observable quantities (i.e., necessarily either 4-scalar or 4-vector in nature), is shown to require the adoption of a manifestly covariant and unitary quantum theory of the gravitati

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49

HU, MING-LIANG. "IMPURITY ENTANGLEMENT IN THE OPEN-ENDED HEISENBERG CHAINS." Modern Physics Letters B 22, no. 29 (2008): 2849–55. http://dx.doi.org/10.1142/s0217984908017357.

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By using the concept of concurrence, we study pairwise entanglement between the two end spins in the open-ended Heisenberg XXX and XY chains up to ten spins. The results show that by introducing two boundary impurities, one can obtain maximum entanglement at the limit of the impurity parameter |J1| ≪ J for the even-number qubits. When |J1/J| > 0, the entanglement always decreases with the increase in the absolute value of J1/J, and for the Heisenberg XXX chain, C disappears when J1/J exceeds a certain critical point Jic, and attains an asymptotic value C0 when |J1| ≫ J(J1 < 0), while for

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50

"The Heisenberg Limit and the Speed of Light." Journal of Physics and Chemistry Research 5, no. 1 (2023): 1–5. http://dx.doi.org/10.36266/jpcr/157.

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