Optimizing Measurements Sequences for Quantum State Verification

Fuente: arXiv
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Auteurs principaux: Liang, Weichao, Ticozzi, Francesco, Vallone, Giuseppe
Format: Preprint
Publié: 2023
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author Liang, Weichao
Ticozzi, Francesco
Vallone, Giuseppe
author_facet Liang, Weichao
Ticozzi, Francesco
Vallone, Giuseppe
contents We consider the problem of deciding whether a given state preparation, i.e., a source of quantum states, is accurate, namely produces states close to a target one within a prescribed threshold. We show that, when multiple measurements need to be used, the order of measurements is critical for quickly assessing accuracy. We propose and compare different strategies to compute optimal or suboptimal measurement sequences either relying solely on a priori information, i.e., the target state for state preparation, or actively adapting the sequence to the previously obtained measurements. Numerical simulations show that the proposed algorithms reduce significantly the number of measurements needed for verification, and indicate an advantage for the adaptive protocol especially assessing faulty preparations.
format Preprint
id arxiv_https___arxiv_org_abs_2307_00881
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Optimizing Measurements Sequences for Quantum State Verification
Liang, Weichao
Ticozzi, Francesco
Vallone, Giuseppe
Quantum Physics
We consider the problem of deciding whether a given state preparation, i.e., a source of quantum states, is accurate, namely produces states close to a target one within a prescribed threshold. We show that, when multiple measurements need to be used, the order of measurements is critical for quickly assessing accuracy. We propose and compare different strategies to compute optimal or suboptimal measurement sequences either relying solely on a priori information, i.e., the target state for state preparation, or actively adapting the sequence to the previously obtained measurements. Numerical simulations show that the proposed algorithms reduce significantly the number of measurements needed for verification, and indicate an advantage for the adaptive protocol especially assessing faulty preparations.
title Optimizing Measurements Sequences for Quantum State Verification
topic Quantum Physics
url https://arxiv.org/abs/2307.00881