4.6 Article

Certification of incompatible measurements using quantum steering

Journal

PHYSICAL REVIEW A
Volume 106, Issue 4, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.106.L040402

Keywords

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Funding

  1. National Science Center (Poland) through the SONATA BIS Project [2019/34/E/ST2/00369]

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In this letter, we discuss the certification problem of quantum measurements and propose a simple scheme for certifying incompatible projective measurements and the maximally entangled state. We also study the robustness of self-testing results for genuinely incompatible measurements.
In this Letter we consider the problem of the 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 a one-sided device-independent scenario where the resource employed for certification is quantum steering. We also study the 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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