Exact Identification of a Quantum Change Point

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6 Citations (Scopus)

Abstract

© 2017 American Physical Society. The detection of change points is a pivotal task in statistical analysis. In the quantum realm, it is a new primitive where one aims at identifying the point where a source that supposedly prepares a sequence of particles in identical quantum states starts preparing a mutated one. We obtain the optimal procedure to identify the change point with certainty - naturally at the price of having a certain probability of getting an inconclusive answer. We obtain the analytical form of the optimal probability of successful identification for any length of the particle sequence. We show that the conditional success probabilities of identifying each possible change point show an unexpected oscillatory behavior. We also discuss local (online) protocols and compare them with the optimal procedure.
Original languageEnglish
Article number140506
JournalPhysical Review Letters
Volume119
DOIs
Publication statusPublished - 6 Oct 2017

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