Estimating many properties of a quantum state via quantum reservoir processing

Yinfei Li, Sanjib Ghosh, Jiangwei Shang, Qihua Xiong, Xiangdong Zhang

Research output: Contribution to journalArticlepeer-review

Abstract

Estimating properties of a quantum state is an indispensable task in various applications of quantum information processing. To predict properties in the postprocessing stage, it is inherent to first perceive the quantum state with a measurement protocol and store the information acquired. In this paper, we propose a general framework for constructing classical approximations of arbitrary quantum states with quantum reservoirs. A key advantage of our method is that only a single local measurement setting is required for estimating arbitrary properties, while most of the previous methods need an exponentially increasing number of measurement settings. To estimate M properties simultaneously, the size of the classical approximation scales as lnM. Moreover, this estimation scheme is extendable to higher-dimensional systems and hybrid systems with nonidentical local dimensions, which makes it exceptionally generic. We support our theoretical findings with extensive numerical simulations.

Original languageEnglish
Article number013211
JournalPhysical Review Research
Volume6
Issue number1
DOIs
Publication statusPublished - Jan 2024

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