TY - JOUR
T1 - Two-Stage Estimation for Quantum Detector Tomography
T2 - Error Analysis, Numerical and Experimental Results
AU - Wang, Yuanlong
AU - Yokoyama, Shota
AU - Dong, Daoyi
AU - Petersen, Ian R.
AU - Huntington, Elanor H.
AU - Yonezawa, Hidehiro
N1 - Publisher Copyright:
© 1963-2012 IEEE.
PY - 2021/4
Y1 - 2021/4
N2 - 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.
AB - 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.
KW - Quantum system
KW - computational complexity
KW - quantum detector tomography
KW - two-stage estimation
UR - http://www.scopus.com/inward/record.url?scp=85101841077&partnerID=8YFLogxK
U2 - 10.1109/TIT.2021.3062596
DO - 10.1109/TIT.2021.3062596
M3 - Article
SN - 0018-9448
VL - 67
SP - 2293
EP - 2307
JO - IEEE Transactions on Information Theory
JF - IEEE Transactions on Information Theory
IS - 4
M1 - 9365003
ER -