多量子比特量子系统的时间不等式认证
Certification of multi-qubit quantum systems with temporal inequalities
AI总结：
针对多量子比特系统，提出无需假设测量兼容关系的时间不等式，证明其可通过序贯测量实现最大违背，利用该违背能认证多量子比特图态和测量，解决了传统互文性认证依赖测量兼容假设的问题。
AI中文摘要：
通过违背非互文性不等式来证明量子理论中的互文关联，必然需要一些“语境”，因此需假设测量之间存在某些兼容关系。因此，任何基于此类不等式最大违背的自测试协议都无法摆脱这些假设。在本工作中，我们针对多量子比特系统提出了从非互文性不等式推导而来的时间不等式，无需假设测量之间存在任何兼容关系。我们证明，新不等式可通过序贯测量场景实现最大违背。此外，利用这些时间不等式的最大违背，我们能够认证多量子比特图态和测量。
英文摘要：
Demonstrating contextual correlations in quantum theory through the violation of a non-contextuality inequality necessarily needs some ``contexts" and thus assumes some compatibility relations between the measurements. As a result, any self-testing protocol based on the maximal violation of such inequality is not free from such assumptions. In this work, we propose temporal inequalities derived from non-contextuality inequalities for multi-qubit systems without assuming any compatibility relations among the measurements. We demonstrate that the new inequalities can be maximally violated via a sequential measurement scenario. Moreover, using the maximal violation of these temporal inequalities we are able to certify multi-qubit graph states and the measurements.
