Quantum risk-sensitive estimation and robustness

Naoki Yamamoto; Luc Bouten

doi:10.1109/TAC.2008.2009571

Quantum risk-sensitive estimation and robustness

Naoki Yamamoto, Luc Bouten

Department of Applied Physics and Physico-Informatics

Research output: Contribution to journal › Article › peer-review

53 Citations (Scopus)

Abstract

This paper studies a quantum risk-sensitive estimation problem and investigates robustness properties of the filter. This is a direct extension to the quantum case of analogous classical results. All investigations are based on a discrete approximation model of the quantum system under consideration. This allows us to study the problem in a simple mathematical setting. We close the paper with some examples that demonstrate the robustness of the risk-sensitive estimator.

Original language	English
Pages (from-to)	92-107
Number of pages	16
Journal	IEEE Transactions on Automatic Control
Volume	54
Issue number	1
DOIs	https://doi.org/10.1109/TAC.2008.2009571
Publication status	Published - 2009

Keywords

Quantum filtering
Quantum probability
Quantum systems
Risk-sensitive estimation
Robustness

ASJC Scopus subject areas

Control and Systems Engineering
Computer Science Applications
Electrical and Electronic Engineering

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10.1109/TAC.2008.2009571

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keywords = "Quantum filtering, Quantum probability, Quantum systems, Risk-sensitive estimation, Robustness",

author = "Naoki Yamamoto and Luc Bouten",

note = "Funding Information: Manuscript received September 29, 2007; revised March 07, 2008. Current version published January 14, 2009. This work was supported by the JSPS Grant-in-Aid 06693 and the ARO under Grant W911NF-06-1-0378. Recommended by Associate Editor J.-F. Zhang.",

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KW - Quantum systems

KW - Risk-sensitive estimation

KW - Robustness

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Quantum risk-sensitive estimation and robustness

Abstract

Keywords

ASJC Scopus subject areas

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