标题： 贝尔不等式的相空间分析对于混合高斯态 显示英文标题

标题： Phase space analysis of Bell inequalities for mixed Gaussian states

摘要： 我们提出一种相空间形式来评估连续变量系统中的贝尔不等式违背情况。 通过这样做，我们可以将之前的分析（仅处理纯态）推广到任意混合态。 我们利用这些结果来分析温度对两模压缩热态中贝尔不等式违背的影响，这在存在热噪声的情况下对局部实在性的测试可能有帮助。 我们还探讨了贝尔不等式违背与该类混合态中纠缠量之间的非单调关系。 此外，我们讨论了超出两模压缩真空态的伪自旋算符的最佳选择。 显示英文摘要

摘要： We present a phase space formalism to evaluate Bell inequality violations in continuous variable systems. By doing so we can generalize previous analyses (which have dealt only with pure states) to arbitrary mixed states. We leverage these results to analyze the effect of temperature on violations of Bell inequalities in a two-mode squeezed thermal state, which can become useful in tests of local realism in the presence of thermal noise. We also explore the non-monotonic relationship between the violations of Bell inequalities and the amount of entanglement present in this family of mixed states. Additionally, we discuss the optimal choices of pseudospin operators for states beyond the two-mode squeezed vacuum.