Optimality of semiquantum nonlocality in the presence of high inconclusive rates

Abstract

Quantum nonlocality is a counterintuitive phenomenon that lies beyond the purview of causal influences. Recently, Bell inequalities have been generalized to the case of quantum inputs, leading to a powerful family of semi-quantum Bell inequalities that are capable of detecting any entangled state. Here, we focus on a different problem and investigate how the local-indistinguishability of quantum inputs and postselection may affect the requirements to detect semi-quantum nonlocality. To this end, we consider a semi-quantum nonlocal game based on locally-indistinguishable qubit inputs and derive its postselected local and quantum bounds by using a novel connection to the local-distinguishability of quantum states. Interestingly, we find that the postselected local bound is independent of the measurement efficiency and that the Bell violation increases with lower measurement efficiencies.

8 pages + 3 figures. Presented in the 1st International Workshop on Trustworthy Quantum Information, 6/28-7/2, University of Michigan, Ann Arbor, Michigan, US; Similar to published version (references to quantum steering added)

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Cited by in corpus (6)

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• Loss-tolerant quantum secure positioning with weak laser sources
• Optimal programmable unambiguous discriminator between two unknown latitudinal states
• Trust-free verification of steering: why you can't cheat a quantum referee