Two-Stage Estimation for Quantum Detector Tomography: Error Analysis, Numerical and Experimental Results

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Wang, Yuanlong
Yokoyama, Shota
Dong, Daoyi
Petersen, Ian R
Huntington, Elanor H
Yonezawa, Hidehiro
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2021
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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(nd2M) , 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.

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IEEE Transactions on Information Theory
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Artificial intelligence
Electronics, sensors and digital hardware
Communications engineering
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Wang, Y; Yokoyama, S; Dong, D; Petersen, IR; Huntington, EH; Yonezawa, H, Two-Stage Estimation for Quantum Detector Tomography: Error Analysis, Numerical and Experimental Results, IEEE Transactions on Information Theory, 2021, 67 (4), pp. 2293-2307
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