Journal
IEEE TRANSACTIONS ON INFORMATION THEORY
Volume 67, Issue 4, Pages 2293-2307Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TIT.2021.3062596
Keywords
Quantum system; quantum detector tomography; two-stage estimation; computational complexity
Funding
- Australian Research Council's Discovery Projects funding scheme [DP190101566, DP180101805]
- Australian Research Council Centre of Excellence for Quantum Computation and Communication Technology [CE170100012]
- U.S. Office of Naval Research Global [N62909-19-1-2129]
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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. The Two-stage Estimation method has computational complexity O(nd(2)M) and is validated through simulation and a quantum optical experiment.
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.
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