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Quantum state and detector tomography through closed and open quantum systems

    Research output: Chapter in Book/Report/Conference proceedingConference Paperpeer-review

    Abstract

    The estimation of all the parameters in an un-known quantum state or measurement device, known as quantum state tomography (QST) and quantum detector tomography (QDT), is fundamental to the characterization and control of quantum systems. This paper presents a unified state space framework for QST and QDT based on observable measurement results at different evolution moments, applicable to both closed and Markovian open quantum systems. We derive lower bounds on the number of sampling points required for a unique estimation and analyze the computational complexity and mean squared error (MSE) scaling. As the estimator may yield unphysical results, we introduce new correction techniques to enforce physicality, which may also improve the infidelity scaling. The effectiveness of the proposed methods is validated through numerical simulations.

    Original languageEnglish
    Title of host publication2025 IEEE 64th Conference on Decision and Control, CDC 2025
    PublisherInstitute of Electrical and Electronics Engineers Inc.
    Pages6691-6696
    Number of pages6
    ISBN (Electronic)9798331526276
    ISBN (Print)979-8-3315-2628-3
    DOIs
    Publication statusE-pub ahead of print - 12 Jan 2026
    Event64th IEEE Conference on Decision and Control, CDC 2025 - Rio de Janeiro, Brazil
    Duration: 9 Dec 202512 Dec 2025

    Publication series

    NameProceedings of the IEEE Conference on Decision and Control
    ISSN (Print)0743-1546
    ISSN (Electronic)2576-2370

    Conference

    Conference64th IEEE Conference on Decision and Control, CDC 2025
    Country/TerritoryBrazil
    CityRio de Janeiro
    Period9/12/2512/12/25

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