Robust certification of arbitrary outcome quantum measurements from temporal correlations

Abstract

Certification of quantum devices received from unknown providers is a primary requirement before utilizing the devices for any information processing task. Here, we establish a protocol for certification of a particular set of $d$-outcome quantum measurements (with $d$ being arbitrary) in a setup comprising of a preparation followed by two measurements in sequence. We propose a set of temporal inequalities pertaining to different $d$ involving correlation functions corresponding to successive measurement outcomes, that are not satisfied by quantum devices. Using quantum violations of these inequalities, we certify specific $d$-outcome quantum measurements under some minimal assumptions which can be met in an experiment efficiently. Our certification protocol neither requires entanglement, nor any prior knowledge about the dimension of the system under consideration. We further show that our protocol is robust against practical non-ideal realizations. Finally, as an offshoot of our protocol, we present a scheme for secure certification of genuine quantum randomness.

Accepted for publication in Quantum

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Cited by in corpus (12)

• Self-testing in prepare-and-measure scenarios and a robust version of Wigner's theorem
• Single system based generation of certified randomness using Leggett-Garg inequality
• Certification of unbounded randomness with arbitrary noise
• Memory attacks in network nonlocality and self-testing
• Certification of two-qubit quantum systems with temporal inequality
• Role of nonclassical temporal correlation in powering quantum random access codes
• Robust certification of quantum instruments through a sequential communication game
• Certifying Temporal Correlations
• Shared randomness allows violation of macroscopic realism using a single measurement
• Certifying classes of $d$-outcome measurements with quantum steering
• Certification of multi-qubit quantum systems with temporal inequalities
• Communication scenario enables robust self-testing of n-party Greenberger-Horne-Zeilinger basis measurements