Quantum Fisher information for periodic and quasiperiodic anisotropic XY chains in a transverse field

Liu, X. M.; Du, Z. Z.; Liu, J. M.

doi:10.1007/s11128-015-1237-0

Cited by 9 publications

(4 citation statements)

References 58 publications

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“…The density matrix can be exactly solved by substituting α = π/2 into Eqs. ( 6)- (25). In order to show the evolution of the entropic uncertainty under feedback control, we perform numerical investigation under different conditions, such as a single dissipative channel and double dissipative channels.…”

Section: Resultsmentioning

confidence: 99%

“…In this section, we suppose that the feedback control is Substituting α = 0 into Eqs. ( 6)- (25), we obtain the entropic uncertainty as a function of t and the feedback coefficient λ .…”

Section: The Feedback Control Withmentioning

confidence: 99%

“…Some quantum operations of quantum states are proposed for stable systems, quantum correlation protection and the reduction of entropic uncertainty, [13][14][15][16][17][18][19] for example, the behavior of QMA-EUR under different noise, the relations between the QMA-EUR and teleportation and entanglement evidence, [20] and the influence of quantum discord and classical correlation on entropic uncertainty in the presence of quantum memory. [21,22] In addition, QMA-EUR has many potential applications in the field of quantum information science, including quantum metrology, [23] quantum transition, [24,25] quantum key distribution, [26] cryptography, and quantum randomness. [27,28] Feedback control is the core of control theory, which can ensure a quantum system has a good control effect even under the influence of decoherence and perturbation.…”

Section: Introductionmentioning

confidence: 99%

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Influence of homodyne-based feedback control on the entropic uncertainty in open quantum system*

Xue

2019

Chinese Phys. B

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For an open quantum system containing two qubits under homodyne-based feedback control, we investigate the dynamical behaviors of quantum-memory-assisted entropic uncertainty. Moreover, we analyze the influence of feedback modes and coefficients on the entropic uncertainty. Numerical investigations show that the memory qubit should be placed in a non-dissipative channel if the single dissipative channel condition can be chosen, which helps reduce the entropic uncertainty of the system. For the homodyne feedback control F = λ σ x (or F = λ σ y ) , due to different roles of the entangled qubits A and B, when they are subject to feedback control with different feedback coefficients λ, the exchange of feedback coefficients will cause variations of the entropic uncertainty. When the feedback coefficient corresponding to the memory qubit B is larger ( λ B > λ A ) , the steady value of the entropic uncertainty will be small, which is conducive to enhancing the robustness of the system. However, for the feedback control F = λ σ z , the difference between the feedback coefficients has no effect on the steady values of the entropic uncertainty.

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Section: Resultsmentioning

confidence: 99%

“…In this section, we suppose that the feedback control is Substituting α = 0 into Eqs. ( 6)- (25), we obtain the entropic uncertainty as a function of t and the feedback coefficient λ .…”

Section: The Feedback Control Withmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Influence of homodyne-based feedback control on the entropic uncertainty in open quantum system*

Xue

2019

Chinese Phys. B

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“…What is more, there are cases that as the entanglement of a state decreases, its QFI increases [21]. Being such deeply related but not directly proportional to entanglement, QFI has been studied for classes of multiparticle entangled states [21,[25][26][27][28][29][30] spin chains [31,32], Lipkin-Meshkov-Glick model [33] and an open dissipative system with reset mechanism [34]. Recently, we have studied the quantum Fisher information of the thermal entanglement of the XXX model and shown that DM interaction can overwhelm the thermalization effects [35].…”

Section: Introductionmentioning

confidence: 99%

Parameter estimation with Dzyaloshinskii–Moriya interaction under external magnetic fields

Özaydın

Altıntaş

2020

Opt Quant Electron

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We study the effects of external magnetic fields on the precision of parameter estimation with thermal entanglement of two spins in XX model, in the presence of Dzyaloshinskii-Moriya (DM) interaction. Calculating the quantum Fisher information, we show that homogeneous magnetic field B, inhomogeneous magnetic field b or DM interaction D increases the precision of parameter estimation, overwhelming the destructive effects of thermalization. We also show that for the model in consideration, the effects of b and D are the same. However, the existence of both b and B (or both D and B) decreases the precision. We find that in order to increase the precision in parameter estimation tasks, applying b in the ferromagnetic case and B in the antiferromagnetic case should be preferred.PACS numbers:

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Quantum Multi-Parameter Estimation Near Criticality in Ising-XXZ Diamond Structure

Yan,

Chen

2024

Int J Theor Phys

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Quantum Fisher information for periodic and quasiperiodic anisotropic XY chains in a transverse field

Cited by 9 publications

References 58 publications

Influence of homodyne-based feedback control on the entropic uncertainty in open quantum system*

Influence of homodyne-based feedback control on the entropic uncertainty in open quantum system*

Parameter estimation with Dzyaloshinskii–Moriya interaction under external magnetic fields

Quantum Multi-Parameter Estimation Near Criticality in Ising-XXZ Diamond Structure

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