论文标题
量子违反微不足道的制剂非上下文性：非局部性和转向
Quantum violation of trivial and non-trivial preparation non-contextuality: Nonlocality and Steering
论文作者
论文摘要
本文说明了量子转向与非平凡准备背景性之间的直接联系。在每个党的两个方面的两个方面测量中，每个测量结果$（2-2-2）$贝尔场景，贝尔非局部性的任何论点都是微不足道的准备情况的证明；但是，相反的可能无法保持。如果一个当事方（例如，爱丽丝）执行了两个以上二分法可观察到的测量值，那么可以在爱丽丝可观察的物品之间找到一组非平凡的功能关系。我们认为，爱丽丝可观察物之间的一组适当的非平凡关系的存在可能会在另一个空间分开的一方结束时量子状态的不稳定能力（例如，鲍勃）。有趣的是，这种约束可以读为本体论模型中的非平凡的非上下文假设。我们进一步展示了两种类型的铃铛不等式，可以使用上述在爱丽丝可观察的情况下使用上述非平凡条件转换为线性转向不平等。这种转向不平等现象也可以被视为非平凡的非秘密不平等现象。由于在额外的非平凡条件下，贝尔表达家族的局部界限会降低，因此根据贝尔表达的量子转向和非定位的测试，具体取决于贝尔家族的表达方式，具体取决于违反非义务制剂的非文化制剂或局部界限，从而建立了量子转向和非平凡的制剂之间的直接连接。
This paper illustrates a direct connection between quantum steering and non-trivial preparation contextuality. In two party-two measurement per party-two outcomes per measurement $(2-2-2)$ Bell scenario, any argument of Bell nonlocality is a proof of trivial preparation contextuality; however, the converse may not hold. If one of the parties (say, Alice) performs the measurements of more than two dichotomic observables, then it is possible to find a set of non-trivial functional relations between Alice's observables. We argue that the existence of a suitable set of such non-trivial relations between Alice's observables may warrant the unsteerability of quantum states at the end of another spatially separated party (say, Bob). Interestingly, such constraints can be read as non-trivial preparation non-contextuality assumptions in an ontological model. We further demonstrate two types of Bell inequalities that can be converted into linear steering inequalities using the aforementioned non-trivial conditions on Alice's observables. Such steering inequalities can also be considered as non-trivial preparation noncontextual inequalities. Since the local bound of the family of Bell expression gets reduced under the additional non-trivial conditions, it provides a test of quantum steering and nonlocality from the same family of Bell expressions depending upon its violation of the non-trivial preparation non-contextual or the local bound, thereby establishing a direct connection between quantum steering and non-trivial preparation contextuality.
