Certification of incompatible measurements using quantum steering
- URL: http://arxiv.org/abs/2107.02937v4
- Date: Tue, 25 Oct 2022 16:12:19 GMT
- Title: Certification of incompatible measurements using quantum steering
- Authors: Shubhayan Sarkar, Debashis Saha, Remigiusz Augusiak
- Abstract summary: 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.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- 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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