Pathwise solution of a class of quantum filtering equations

Indra Kurniawan; Matthew R. James

doi:10.1109/cdc.2004.1428947

Pathwise solution of a class of quantum filtering equations

Indra Kurniawan^*, Matthew R. James

^*Corresponding author for this work

Research output: Contribution to journal › Conference article › peer-review

1 Citation (Scopus)

Abstract

The purpose of this paper is to apply Clark's pathwise reformulation of the equations of nonlinear filtering to a class of filtering equations that arise in quantum physics. Specifically, we consider a class of stochastic master equations driven by white noise. We also derive dark's robust approximation and illustrate the ideas applying them to an imperfectly observed two-level atom continuously monitored by homodyne photodetection.

Original language	English
Article number	ThA11.4
Pages (from-to)	3121-3125
Number of pages	5
Journal	Proceedings of the IEEE Conference on Decision and Control
Volume	3
DOIs	https://doi.org/10.1109/cdc.2004.1428947
Publication status	Published - 2004
Event	2004 43rd IEEE Conference on Decision and Control (CDC) - Nassau, Bahamas Duration: 14 Dec 2004 → 17 Dec 2004

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10.1109/cdc.2004.1428947

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@article{8819827d65de45818b85cb4373915a6b,

title = "Pathwise solution of a class of quantum filtering equations",

abstract = "The purpose of this paper is to apply Clark's pathwise reformulation of the equations of nonlinear filtering to a class of filtering equations that arise in quantum physics. Specifically, we consider a class of stochastic master equations driven by white noise. We also derive dark's robust approximation and illustrate the ideas applying them to an imperfectly observed two-level atom continuously monitored by homodyne photodetection.",

author = "Indra Kurniawan and James, \{Matthew R.\}",

year = "2004",

doi = "10.1109/cdc.2004.1428947",

language = "English",

volume = "3",

pages = "3121--3125",

journal = "Proceedings of the IEEE Conference on Decision and Control",

issn = "0743-1546",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

note = "2004 43rd IEEE Conference on Decision and Control (CDC) ; Conference date: 14-12-2004 Through 17-12-2004",

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T1 - Pathwise solution of a class of quantum filtering equations

AU - Kurniawan, Indra

AU - James, Matthew R.

PY - 2004

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N2 - The purpose of this paper is to apply Clark's pathwise reformulation of the equations of nonlinear filtering to a class of filtering equations that arise in quantum physics. Specifically, we consider a class of stochastic master equations driven by white noise. We also derive dark's robust approximation and illustrate the ideas applying them to an imperfectly observed two-level atom continuously monitored by homodyne photodetection.

AB - The purpose of this paper is to apply Clark's pathwise reformulation of the equations of nonlinear filtering to a class of filtering equations that arise in quantum physics. Specifically, we consider a class of stochastic master equations driven by white noise. We also derive dark's robust approximation and illustrate the ideas applying them to an imperfectly observed two-level atom continuously monitored by homodyne photodetection.

UR - https://www.scopus.com/pages/publications/14244259210

U2 - 10.1109/cdc.2004.1428947

DO - 10.1109/cdc.2004.1428947

M3 - Conference article

AN - SCOPUS:14244259210

SN - 0743-1546

VL - 3

SP - 3121

EP - 3125

JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

M1 - ThA11.4

T2 - 2004 43rd IEEE Conference on Decision and Control (CDC)

Y2 - 14 December 2004 through 17 December 2004

ER -

Pathwise solution of a class of quantum filtering equations

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