Estimating many properties of a quantum state via quantum reservoir processing
| Autor: | Li, Yinfei, Ghosh, Sanjib, Shang, Jiangwei, Xiong, Qihua, Zhang, Xiangdong |
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| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | Phys. Rev. Research 6, 013211 (2024) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevResearch.6.013211 |
| Popis: | 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. Comment: 12+10 pages, 9 figures, 90 references; Comments are welcome! |
| Databáze: | arXiv |
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