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arXiv 2204.07552quant-ph
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非对称X态的局域可用量子关联

Local available quantum correlations of non-symmetric X states

David Bellorin, Hermann Albrecht, Douglas F. Mundarain

AI总结:

本文研究了非对称2-qubit X态的局域可用量子关联(LAQC),推导出其LAQC量化指标的解析表达式,发现LAQC在LOCC操作下具有单调性,从而完成了对所有2-qubit X态LAQC解析表达式的求解。

摘要:

本文针对非对称2-qubit X态分析了由Mundarain等人定义的局域可用量子关联(LAQC),这类X态在子系统交换下不具备不变性,因而其局域Bloch向量的范数各不相同。我们得到了其LAQC量化指标的简单解析表达式。作为示例,我们分析了振幅阻尼信道对Werner态和一般X态的局域应用。尽管该局域量子信道在某些情况下能产生量子discord,但对于LAQC而言,这种结果是不可能的,这暗示了LAQC在LOCC操作下的单调性。结合我们先前关于所谓对称与反对称X态的结果,本工作完成了对2-qubit X态LAQC量化指标精确解析表达式的求解。

英文摘要:

Local available quantum correlations (LAQC), as defined by Mundarain et al., are analyzed for non-symmetric 2-qubit X states, that is, X-states that are not invariant under the exchange of subsystems and therefore have local Bloch vectors whose norms are different. A simple analytic expression for their LAQC quantifier is obtained. As an example, we analyze the local application of the amplitude damping channel for Werner states and general X states. Although this local quantum channel can create quantum discord in some cases, no such outcome is possible for LAQC, which hints toward their monotonicity under LOCC operations. This work, along with our previous result for so-called symmetric and anti-symmetric X states, completes the pursuit of exact analytical expressions for the LAQC quantifier for 2-qubit X states.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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