Two-stage Estimation for Quantum Detector Tomography: Error Analysis, Numerical and Experimental Results
arXiv:1905.05323 · doi:10.1109/TIT.2021.3062596
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 , where is the number of -dimensional detector matrices and 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.
arXiv comment34 pages, 10 figures
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