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  • Letter

Distrustful quantum steering

Shubhayan Sarkar*

  • Laboratoire d'Information Quantique, Université libre de Bruxelles (ULB), Avenue F. D. Roosevelt 50, 1050 Bruxelles, Belgium

  • *shubhayan.sarkar@ulb.be

Phys. Rev. A 108, L040401 – Published 24 October, 2023

DOI: https://doi.org/10.1103/PhysRevA.108.L040401

Abstract

Quantum steering is an asymmetric form of quantum nonlocality where one can trust the measurements of one of the parties. In this work, inspired by practical considerations, we investigate the scenario in which one cannot fully trust their measurement devices, just up to some level of precision. We first find the effect of such an imprecision on standard device-dependent quantum tomography. We then utilize this result to compute the variation in the local bound of any general steering inequality depending on the amount of trust one puts in one of the party's measurement devices. This is particularly important as we show that even a small distrust on Alice might cause the parties to observe steerability even if the quantum state is unsteerable. Furthermore, this effect becomes more relevant when observing higher-dimensional quantum steering.

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