马尔可夫状态下双量子位开放系统的类量子相关

IF 1 4区 物理与天体物理 Q3 PHYSICS, MATHEMATICAL
S. Bukbech , K. El Anouz , Z. El Allali , A. El Allati
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引用次数: 0

摘要

研究了局部量子不确定性和局部量子费雪信息作为非经典关联的最新量词之间的严格关系。它包括分析在马尔可夫状态下与周围环境相互作用的二部量子系统中根深蒂固的量子相关率。事实上,我们量化了两个量子位之间的可分离性,其中每个量子位与自己的环境相互作用。此外,还考虑了一个共同的热源,使我们能够准确地解出该系统的马尔可夫主方程。指出属于环境的自由度,只是隐式地起作用。研究了开放系统的局部量子不确定性和局部量子费雪信息量子。通过控制在开放系统的密度约简算子中编码的几个参数,证明了非经典测度在其最大和最小振幅之间有相似的波动。特别是,与每个储层相关的高阻尼率值和初始相位参数的一些特殊值允许局部量子不确定性和局部量子Fisher信息的鲁棒值。特别是,在非共振情况下,可以增强所提出系统的量子相关性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Quantum-like correlation of two-qubit open system in the Markovian regime

A rigorous relationship between local quantum uncertainty and local quantum Fisher information as recent quantifiers of nonclassical correlations is investigated. It consists of analysing the quantum correlation rate ingrained in a bipartite quantum system interacting with its surrounding environment under the Markovian regime. Indeed, we quantify the separability between two qubits where each qubit interacts with its own environment. Furthermore, a common reservoir is also taken into consideration, which allows us to solve exactly the Markovian master equation of this system. Pointing out that the degrees of freedom that belong to the environment, act only implicitly. We study the local quantum uncertainty and local quantum Fisher information quantifiers of the open system. By controlling several parameters encoded in the reduced density operator of the open system, it is shown that the nonclassical measures fluctuate similarly between their maximum and minimum amplitudes. In particular, the high values of the damping rates related to each reservoir and some special values of the initial phase parameter allow for robust values of local quantum uncertainty and local quantum Fisher information. In particular, it is shown that in the non-resonance case, it is possible to enhance the quantum correlation of the proposed system.

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来源期刊
Reports on Mathematical Physics
Reports on Mathematical Physics 物理-物理:数学物理
CiteScore
1.80
自引率
0.00%
发文量
40
审稿时长
6 months
期刊介绍: Reports on Mathematical Physics publish papers in theoretical physics which present a rigorous mathematical approach to problems of quantum and classical mechanics and field theories, relativity and gravitation, statistical physics, thermodynamics, mathematical foundations of physical theories, etc. Preferred are papers using modern methods of functional analysis, probability theory, differential geometry, algebra and mathematical logic. Papers without direct connection with physics will not be accepted. Manuscripts should be concise, but possibly complete in presentation and discussion, to be comprehensible not only for mathematicians, but also for mathematically oriented theoretical physicists. All papers should describe original work and be written in English.
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