Zero, pole and fragility of quantum systems

Masahiro Yanagisawa*

*Corresponding author for this work

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

    Abstract

    New fundamental limits on design and control of linear quantum systems are presented. A main difference between quantum and classical systems comes from the fact that quantum signals are represented by operator-valued vectors. The transfer function representation is useful to describe a system in the quantum setting for the same reason as it is useful classically. It is shown that the noncommutative property of quantum signals can be characterized by a specific relation between zeros and poles of a quantum transfer function. Then, two quantum mechanical tradeoffs follows from the transfer function constraint. One is a well known tradeoff, Heisenberg's uncertainty relation, and the other is a tradeoff between the ability of noise reduction and sensitivity to modeling error. While these tradeoffs hold at each frequency, quantum systems have another constraint between different frequencies based on Bode integral as classical systems usually do. In the quantum case, however, this constraint is also dependent on quantum mechanical parameters.

    Original languageEnglish
    Title of host publicationProceedings of the 46th IEEE Conference on Decision and Control 2007, CDC
    PublisherInstitute of Electrical and Electronics Engineers Inc.
    Pages1216-1220
    Number of pages5
    ISBN (Print)1424414989, 9781424414987
    DOIs
    Publication statusPublished - 2007
    Event46th IEEE Conference on Decision and Control 2007, CDC - New Orleans, LA, United States
    Duration: 12 Dec 200714 Dec 2007

    Publication series

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

    Conference

    Conference46th IEEE Conference on Decision and Control 2007, CDC
    Country/TerritoryUnited States
    CityNew Orleans, LA
    Period12/12/0714/12/07

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