Self-testing of an unbounded number of mutually commuting local observables

• URL: http://arxiv.org/abs/2311.04631v1
• Date: Wed, 8 Nov 2023 12:20:48 GMT
• Title: Self-testing of an unbounded number of mutually commuting local observables
• Authors: Sneha Munshi, A. K. Pan
• Abstract summary: It is well-studied that locally commuting or compatible observables cannot be used to reveal quantum nonlocality. We show that the optimal quantum violations of suitably formulated bilocality and n-locality inequalities in networks uniquely fix the observables of one party to be mutually commuting.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Based on the optimal quantum violation of suitable Bell's inequality, the device-independent self-testing of state and observables has been reported. It is well-studied that locally commuting or compatible observables cannot be used to reveal quantum nonlocality. Therefore, the self-testing of commuting local observables cannot be possible through the Bell test. In this work, we demonstrate the self-testing of a set of mutually commuting local observables. Such certification has not hitherto been reported. We show that the optimal quantum violations of suitably formulated bilocality and n-locality inequalities in networks uniquely fix the observables of one party to be mutually commuting. In particular, we first demonstrate that in a two-input-arbitrary-party star network, two commuting local observables can be self-tested. Further, by considering an arbitrary-input three-party bilocal network scenario, we demonstrate the self-testing of an unbounded number of mutually commuting local observables.

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