Quantum trajectories for a class of continuous matrix product input states

We introduce a new class of continuous matrix product (CMP) states and establish the stochastic master equations (quantum filters) for an arbitrary quantum system probed by a bosonic input field in this class of states. We show that this class of CMP states arise naturally as outputs of a Markovian...

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Bibliographic Details
Published in:New journal of physics 2014-07, Vol.16 (7), p.75008-17
Main Authors: Gough, John E, James, Matthew R, Nurdin, Hendra I
Format: Article
Language:English
Subjects:
CMP states
Filtering
Filtration
Markov models
Mathematical analysis
Mathematical models
Photons
Physics
quantum filter
Quantum theory
quantum trajectories
Trajectories
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Summary:We introduce a new class of continuous matrix product (CMP) states and establish the stochastic master equations (quantum filters) for an arbitrary quantum system probed by a bosonic input field in this class of states. We show that this class of CMP states arise naturally as outputs of a Markovian model, and that input fields in these states lead to master and filtering (quantum trajectory) equations which are matrix-valued. Furthermore, it is shown that this class of CMP states include the (continuous-mode) single photon and time-ordered multi-photon states.
ISSN:1367-2630
1367-2630
DOI:10.1088/1367-2630/16/7/075008