Estimating many properties of a quantum state via quantum reservoir processing
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arXiv
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| Hauptverfasser: | , , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866913245631086592 |
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| author | Li, Yinfei Ghosh, Sanjib Shang, Jiangwei Xiong, Qihua Zhang, Xiangdong |
| author_facet | Li, Yinfei Ghosh, Sanjib Shang, Jiangwei Xiong, Qihua Zhang, Xiangdong |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_06878 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Estimating many properties of a quantum state via quantum reservoir processing Li, Yinfei Ghosh, Sanjib Shang, Jiangwei Xiong, Qihua Zhang, Xiangdong Quantum Physics 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. |
| title | Estimating many properties of a quantum state via quantum reservoir processing |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2305.06878 |