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

Loading...
Thumbnail Image
File version

Accepted Manuscript (AM)

Author(s)
Wang, Yuanlong
Yokoyama, Shota
Dong, Daoyi
Petersen, Ian R
Huntington, Elanor H
Yonezawa, Hidehiro
Griffith University Author(s)
Primary Supervisor
Other Supervisors
Editor(s)
Date
2021
Size
File type(s)
Location
License
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.

Journal Title

IEEE Transactions on Information Theory

Conference Title
Book Title
Edition
Volume

67

Issue

4

Thesis Type
Degree Program
School
Publisher link
Patent number
Funder(s)
Grant identifier(s)
Rights Statement
Rights Statement

© 2021 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.

Item Access Status
Note
Access the data
Related item(s)
Subject

Artificial intelligence

Electronics, sensors and digital hardware

Communications engineering

Persistent link to this record
Citation

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

Collections