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

Yuanlong Wang, Shota Yokoyama, Daoyi Dong*, Ian R. Petersen, Elanor H. Huntington, Hidehiro Yonezawa

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    15 Citations (Scopus)

    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(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.

    Original languageEnglish
    Article number9365003
    Pages (from-to)2293-2307
    Number of pages15
    JournalIEEE Transactions on Information Theory
    Volume67
    Issue number4
    DOIs
    Publication statusPublished - Apr 2021

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