Optical and Quantum Sensing and Precision Metrology

Shot-by-shot estimation of quantum measurement accuracy via quantum Bayesian inference

Sergey V. Polyakov, Ivan A. Burenkov, M. V. Jabir, Fajar R. Annafianto, Abdella Battou

Published Mar 4, 2021• 0 citations

Abstract

Ordinarily, quantum-measurement based state discrimination methods use Bayesian inference to determine the maximally likely optical input state out of N possible inputs. Each practical single-shot measurement yields a unique vector of N likelihood values (one per each possible outcome) whose significance is not appreciated. Here we show theoretically and experimentally that measured Bayesian likelihood values are equal to observed probabilities of a successful state discrimination. Thus, the vector of Bayesian likelihoods provides significantly more information about the input state than is available in a typical state discrimination measurement.

DOI: 10.1117/12.2578972

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