Certification of incompatible measurements using quantum steering
Abstract
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.
- Publication:
-
Physical Review A
- Pub Date:
- October 2022
- DOI:
- 10.1103/PhysRevA.106.L040402
- arXiv:
- arXiv:2107.02937
- Bibcode:
- 2022PhRvA.106d0402S
- Keywords:
-
- Quantum Physics
- E-Print:
- close to the published version