Robust certification of arbitrary outcome quantum measurements from temporal correlations

TL;DR

This paper introduces a protocol for certifying arbitrary outcome quantum measurements using temporal correlations, without entanglement or prior system knowledge, and demonstrates robustness and applications in quantum randomness.

Contribution

It presents a novel, entanglement-free certification method for arbitrary quantum measurements based on temporal inequalities and their quantum violations.

Findings

Certification protocol works without entanglement or prior dimension knowledge

Protocol is robust against practical non-idealities

Scheme for secure quantum randomness certification

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.