Single Photon Quantum Filtering Using non-Markov Embeddings

John Edward Gough; Matthew R. James; Hendra I. Nurdin

doi:10.1098/rsta.2011.0524

Single Photon Quantum Filtering Using non-Markov Embeddings

John Edward Gough, Matthew R. James, Hendra I. Nurdin

Department of Physics

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

Abstract

We determine quantum master and filter equations for continuous measurement of systems coupled to input fields in certain non-classical continuous-mode states, specifically single photon states. The quantum filters are shown to be derivable from an embedding into a larger non-Markovian system, and are given by a system of coupled stochastic differential equations.

Original language	English
Pages (from-to)	5241-5258
Number of pages	18
Journal	Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume	370
Issue number	1979
Early online date	22 Oct 2012
DOIs	https://doi.org/10.1098/rsta.2011.0524
Publication status	Published - 28 Nov 2012

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http://rsta.royalsocietypublishing.org/content/370/1979/5408.abstract

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abstract = "We determine quantum master and filter equations for continuous measurement of systems coupled to input fields in certain non-classical continuous-mode states, specifically single photon states. The quantum filters are shown to be derivable from an embedding into a larger non-Markovian system, and are given by a system of coupled stochastic differential equations.",

author = "Gough, {John Edward} and James, {Matthew R.} and Nurdin, {Hendra I.}",

note = "Gough, J. E., James, M. R., Nurdin, H. I. (2012). Single Photon Quantum Filtering Using non-Markov Embeddings. Philosophical Transactions of The Royal Society A Mathematical, Physical & Engineering Sciences, 370 (1979), 5241-5258.",

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AB - We determine quantum master and filter equations for continuous measurement of systems coupled to input fields in certain non-classical continuous-mode states, specifically single photon states. The quantum filters are shown to be derivable from an embedding into a larger non-Markovian system, and are given by a system of coupled stochastic differential equations.

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IS - 1979

ER -

Single Photon Quantum Filtering Using non-Markov Embeddings

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