Feedback control of quantum state reduction

Ramon van Handel; John K. Stockton; Hideo Mabuchi

doi:10.1109/TAC.2005.849193

Feedback control of quantum state reduction

Ramon van Handel, John K. Stockton, Hideo Mabuchi

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

226 Scopus citations

Abstract

Feedback control of quantum mechanical systems must take into account the probabilistic nature of quantum measurement. We formulate quantum feedback control as a problem of stochastic nonlinear control by considering separately a quantum filtering problem and a state feedback control problem for the filter. We explore the use of stochastic Lyapunov techniques for the design of feedback controllers for quantum spin systems and demonstrate the possibility of stabilizing one outcome of a quantum measurement with unit probability.

Original language	English (US)
Pages (from-to)	768-780
Number of pages	13
Journal	IEEE Transactions on Automatic Control
Volume	50
Issue number	6
DOIs	https://doi.org/10.1109/TAC.2005.849193
State	Published - Jun 2005
Externally published	Yes

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Computer Science Applications
Electrical and Electronic Engineering

Keywords

Lyapunov functions
Quantum filtering
Quantum mechanics
Quantum probability
Stochastic nonlinear control

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10.1109/TAC.2005.849193

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title = "Feedback control of quantum state reduction",

abstract = "Feedback control of quantum mechanical systems must take into account the probabilistic nature of quantum measurement. We formulate quantum feedback control as a problem of stochastic nonlinear control by considering separately a quantum filtering problem and a state feedback control problem for the filter. We explore the use of stochastic Lyapunov techniques for the design of feedback controllers for quantum spin systems and demonstrate the possibility of stabilizing one outcome of a quantum measurement with unit probability.",

keywords = "Lyapunov functions, Quantum filtering, Quantum mechanics, Quantum probability, Stochastic nonlinear control",

author = "{van Handel}, Ramon and Stockton, {John K.} and Hideo Mabuchi",

note = "Funding Information: Manuscript received February 20, 2004; revised December 15, 2004. Recommended by Associate Editor A. Garulli. This work was supported by the Army Research Office under Grant DAAD19-03-1-0073 and by the Caltech MURI Center for Quantum Networks under Grant DAAD19-00-1-0374. J. K. Stockton acknowledges a Hertz fellowship.",

year = "2005",

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doi = "10.1109/TAC.2005.849193",

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journal = "IEEE Transactions on Automatic Control",

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AU - van Handel, Ramon

AU - Stockton, John K.

AU - Mabuchi, Hideo

N1 - Funding Information: Manuscript received February 20, 2004; revised December 15, 2004. Recommended by Associate Editor A. Garulli. This work was supported by the Army Research Office under Grant DAAD19-03-1-0073 and by the Caltech MURI Center for Quantum Networks under Grant DAAD19-00-1-0374. J. K. Stockton acknowledges a Hertz fellowship.

PY - 2005/6

Y1 - 2005/6

N2 - Feedback control of quantum mechanical systems must take into account the probabilistic nature of quantum measurement. We formulate quantum feedback control as a problem of stochastic nonlinear control by considering separately a quantum filtering problem and a state feedback control problem for the filter. We explore the use of stochastic Lyapunov techniques for the design of feedback controllers for quantum spin systems and demonstrate the possibility of stabilizing one outcome of a quantum measurement with unit probability.

AB - Feedback control of quantum mechanical systems must take into account the probabilistic nature of quantum measurement. We formulate quantum feedback control as a problem of stochastic nonlinear control by considering separately a quantum filtering problem and a state feedback control problem for the filter. We explore the use of stochastic Lyapunov techniques for the design of feedback controllers for quantum spin systems and demonstrate the possibility of stabilizing one outcome of a quantum measurement with unit probability.

KW - Lyapunov functions

KW - Quantum filtering

KW - Quantum mechanics

KW - Quantum probability

KW - Stochastic nonlinear control

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Feedback control of quantum state reduction

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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