Estimating many properties of a quantum state via quantum reservoir processing

• URL: http://arxiv.org/abs/2305.06878v3
• Date: Wed, 28 Feb 2024 02:03:54 GMT
• Title: Estimating many properties of a quantum state via quantum reservoir processing
• Authors: Yinfei Li, Sanjib Ghosh, Jiangwei Shang, Qihua Xiong, Xiangdong Zhang
• Abstract summary: 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. This estimation scheme is extendable to higher-dimensional systems and hybrid systems with non-identical local dimensions.
• Score: 2.5432391525687748
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Estimating properties of a quantum state is an indispensable task in various applications of quantum information processing. To predict properties in the post-processing stage, it is inherent to first perceive the quantum state with a measurement protocol and store the information acquired. In this work, 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 exponentially increasing number of measurement settings. To estimate $M$ properties simultaneously, the size of the classical approximation scales as $\ln M$ . Moreover, this estimation scheme is extendable to higher-dimensional systems and hybrid systems with non-identical local dimensions, which makes it exceptionally generic. We support our theoretical findings with extensive numerical simulations.

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