论文标题
伪保利操作员在单一逻辑Qubit上引起的贝尔不平等现象
Bell Inequalities Induced by Pseudo Pauli Operators on Single Logical Qubits
论文作者
论文摘要
在大多数铃铛测试中，都专门选择了测量设置，以便可以检测到对钟形不平等的最大量子违规行为，或者至少违规足够强烈以至于可以观察到。这种选择通常可以将相应的铃铛操作员与一种称为伪保利操作员的有效可观察到的物品相关联，从某种意义上说，我们对贝尔非局部性的更直观的理解。基于此，开发了一种更通用的量子到古典方法，以实现贝尔不平等的结构。使用这种方法，人们不仅可以得出几种著名的贝尔不平等，而且可以探索许多新的不平等。此外，我们表明，伪保利操作员的不确定性关系也可以引起一些二次钟的不平等，这可能会使一些非局部观察者的不确定性关系的研究为新的启示。
In most Bell tests, the measurement settings are specially chosen so that the maximal quantum violations of the Bell inequalities can be detected, or at least, the violations are strong enough to be observed. Such choices can usually associate the corresponding Bell operators to a kind of effective observables, called pseudo Pauli operators, providing us a more intuitive understanding of Bell nonlocality in some sense. Based on that, a more general quantum-to-classical approach for the constructions of Bell inequalities is developed. Using this approach, one can not only derive several kinds of well-known Bell inequalities, but also explore many new ones. Besides, we show that some quadratic Bell inequalities can be induced from the uncertainty relations of pseudo Pauli operators as well, which may shed new light on the study of uncertainty relations of some nonlocal observables.
