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arXiv · 2107.02937

Certification of incompatible measurements using quantum steering

Shubhayan Sarkar·Debashis Saha·Remigiusz Augusiak
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Abstract

In this letter we consider the problem of certification of quantum measurements with an arbitrary number of outcomes. We propose a simple scheme for certifying any set of $d$-outcome projective measurements which do not share any common invariant proper subspace, termed here genuinely incompatible, and the maximally entangled state of two qudits. For our purpose, we focus on a simpler scenario, termed as one-sided device-independent scenario where the resource employed for certification is quantum steering. We also study robustness of our self-testing statements for a certain class of genuinely incompatible measurements including mutually unbiased bases which are essential for several quantum information-theoretic tasks such as quantum cryptography.

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Shubhayan Sarkar, Debashis Saha, Remigiusz Augusiak. 2021-07-01. Certification of incompatible measurements using quantum steering. https://doi.org/10.1103/physreva.106.l040402

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