1. Two-Stage Estimation for Quantum Detector Tomography: Error Analysis, Numerical and Experimental Results.
- Author
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Wang, Yuanlong, Yokoyama, Shota, Dong, Daoyi, Petersen, Ian R., Huntington, Elanor H., and Yonezawa, Hidehiro
- Subjects
DETECTORS ,TOMOGRAPHY ,COHERENT states ,COMPUTATIONAL complexity ,GEOMETRIC tomography ,QUANTUM computing - Abstract
Quantum detector tomography is a fundamental technique for calibrating quantum devices and performing quantum engineering tasks. In this paper, a novel quantum detector tomography method is proposed. First, a series of different probe states are used to generate measurement data. Then, using constrained linear regression estimation, a stage-1 estimation of the detector is obtained. Finally, the positive semidefinite requirement is added to guarantee a physical stage-2 estimation. This Two-stage Estimation (TSE) method has computational complexity $O(nd^{2}M)$ , where $n$ is the number of $d$ -dimensional detector matrices and $M$ is the number of different probe states. An error upper bound is established, and optimization on the coherent probe states is investigated. We perform simulation and a quantum optical experiment to testify the effectiveness of the TSE method. [ABSTRACT FROM AUTHOR]
- Published
- 2021
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