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Laser Physics Letters

Steered quantum coherence in finite-temperature environment and its protection with weak measurements

Hao Yuan, Lin-Yao Zhao, Lian-Fang Han

Published Jan 20, 2025• 2 citations
Publisher

Abstract

Abstract We investigate the dynamics of steered quantum coherence (SQC) measured by the l 1-norm and relative entropy in a finite-temperature environment, which is modeled as a generalized amplitude damping channel. It is shown that the SQC decreases monotonically as the parameter r increases, and the sudden death of SQC occurs no matter what the temperature is. The effect of the temperature of the thermal bath on the dynamics of SQC is unremarkable. To a certain extent, SQC is robust to the temperature in such thermal noise. Further, we use weak measurement (WM) and quantum measurement reversal (QMR) to protect the SQC from the finite-temperature environment. It is shown that the SQC can be enhanced, or even birthed, when the measurement strengths of WM and QMR are properly chosen. We also show that SQC can achieve the maximal value for the optimal measurement strengths. Our results could be verified experimentally in an all-optical system, and pave the way to further applications of SQC in quantum information processing.

DOI
10.1088/1612-202x/ada7d2

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Abstract We investigate the dynamics of steered quantum coherence (SQC) measured by the l 1-norm and relative entropy in a finite-temperature environment, which is modeled as a generalized amplitude damping channel. It is shown that the SQC decreases monotonically as the parameter r increases, and the sudden death of SQC occurs no matter what the temperature is. The effect of the temperature of the thermal bath on the dynamics of SQC is unremarkable. To a certain extent, SQC is robust to the temperature in such thermal noise. Further, we use weak measurement (WM) and quantum measurement reversal (QMR) to protect the SQC from the finite-temperature environment. It is shown that the SQC can be enhanced, or even birthed, when the measurement strengths of WM and QMR are properly chosen. We also show that SQC can achieve the maximal value for the optimal measurement strengths. Our results could be verified experimentally in an all-optical system, and pave the way to further applications of SQC in quantum information processing.
In practical applications, quantum systems work in a finite-temperature environment. Quantum entanglement is inevitably destroyed by the thermal noise. Here we experimentally demonstrate the protection of entanglement on the platform of linear optics. The finite-temperature thermal noise is described by the generalized amplitude-damping channel. By performing optimal pre- and postchannel weak measurements, we successfully protect the entanglement from the generalized amplitude-damping channel. Compared with the unprotected case, the quantum coherence is recovered, and the entanglement is enhanced. The demonstrated protocol may have further applications in superconducting quantum qubits.
In practical application, since quantum entanglement is inevitably destroyed by thermal noise resulted from environment, protecting entanglement from decoherence in thermal bath environment becomes a critically important issue in the field of quantum information. In this work, we propose a scheme to protect the tripartite Greenberger–Horne–Zeilinger (GHZ) entanglement state subjected to the generalized amplitude damping (GAD) channel based on the quantum technique of weak measurement (WM) and quantum measurement reversal (QMR). By optimizing the strengths of WM and QMR, the decoherence caused by the channel can be effectively suppressed. The results show that after performing the optimal pre- and post-channel weak measurement, the negativity of the GHZ state can be effectively improved with a certain probability, and the phenomenon of sudden death can be delayed to a certain degree. This scheme can be applied to the decoherence suppression of GAD channel at finite temperature.
The study of system evolution in generalized amplitude damping is of great significance in quantum information science and quantum computing. As an important quantum noise channel, the generalized amplitude damping channel can describe the general phenomenon of the energy dissipation effect in quantum systems at finite temperature. In this paper, we study the use of weak measurement and reversal to protect the entanglement of X-type systems in generalized amplitude damping channels, and give an experimental scheme. The results show that the closer to zero the temperature environment, the better the protection effect of weak measurement and reversal, but the lower the success rate. Therefore, when choosing an experimental environment, it is important to consider not only the temperature factor but also the probability of success. Because all quantum systems work at finite temperatures, it is hoped that the study of generalized amplitude damping channels can help design more robust quantum algorithms and protocols to improve the efficiency and stability of quantum information processing.
Abstract The dynamic behavior of the relative entropy of coherence for a two-level system is systematically investigated in different regimes. We derive the exact expressions of relative entropy quantifying coherence for an exactly solving model consisting of single qubit interacting with independent structured reservoir, show explicitly that the weak measurement (WM) and quantum measurement reversal (QMR) operation indeed help for protecting the coherence. In addition, the freezing phenomenon of the coherence can be detected by using the optimal WM and QMR operation.
Nonlocal quantum correlations, such as quantum entanglement, quantum steering, and Bell nonlocality, are crucial resources for quantum information tasks. How to protect these quantum resources from decoherence is one of the most urgent problems to be solved. Here, we investigate the evolution of these correlations in the correlated squeezed generalized amplitude damping (SGAD) channel and propose a scheme to protect them with weak measurement (WM) and quantum measurement reversal (QMR). Compared with the results of the uncorrelated SGAD channel, we find that when [Formula: see text], correlation and squeezing effects can prolong the survival time of quantum entanglement, Bell nonlocality, and quantum steering by about 152 times, 207 times, and 10 times, respectively. In addition, local WM and QMR can effectively recover the disappeared nonlocal quantum correlations either in uncorrelated or completely correlated SGAD channels. Moreover, we find that these initial nonlocal quantum correlations could be drastically amplified under the correlated channel. And the steering direction can be flexibly manipulated either by changing the channel parameters or the strength of WM and QMR. These results not only make a step forward in suppressing decoherence and enhancing quantum correlation in noise channels, but also help to develop relevant practical applications.
According to the map of a qubit, a scheme for protecting entanglement of two-qubit by the weak measurements at finite temperature is proposed. Since the choices of the channel parameters and initial states are very different for different weak measurement strengths, two local unitary equivalent initial entangled states |ψ> and |φ> are chosen. Weak measurements are performed when two initial entangled states go through the generalized amplitude damping channel, and the analytical expressions of getting maximum concurrence entanglement Cr and weak measurement parameters m and n can be obtained by performing an overall optimization for four weak measurement parameters. What is more, the relationship between the weak measurement parameters and the channel parameters is further explored. Theoretical results show the entanglement protection project based on weak measurements can effectively enhance the entanglement and even prevent the sudden death of entanglement in some cases. When the channel parameter r is fixed, for different values of parameter p, the concurrence is centered at p = 0.5, and the weak measurement parameters of the maximum concurrence entanglement are the same as those for initial state |ψ>, while they are different for initial state |φ>. Under the condition of different values of r, for the fixed p and initial state |ψ> or |φ>, the weak measurement parameters remain constant as the entanglement reaches the maximum and the concurrence decreases with the increase of parameter r. Through the analysis of channel parameters, higher entanglement can be obtained by choosing appropriate channel parameters and initial state.