On the optimal certification of von Neumann measurements.

ABSTRACT: In this report we study certification of quantum measurements, which can be viewed as the extension of quantum hypotheses testing. This extension involves also the study of the input state and the measurement procedure. Here, we will be interested in two-point (binary) certification scheme in which the null and alternative hypotheses are single element sets. Our goal is to minimize the probability of the type II error given some fixed statistical significance. In this report, we begin with studying the two-point certification of pure quantum states and unitary channels to later use them to prove our main result, which is the certification of von Neumann measurements in single-shot and parallel scenarios. From our main result follow the conditions when two pure states, unitary operations an

SUBMITTER: Lewandowska P 

PROVIDER: S-EPMC7878518 | biostudies-literature | 2021 Feb

REPOSITORIES: biostudies-literature