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arXiv · 1404.5699

Quantum Trajectories for a Class of Continuous Matrix Product Input States

John E. Gough·Matthew R. James·Hendra I. Nurdin
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Abstract

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 continuous matrix product states include the (continuous-mode) single photon and time-ordered multi-photon states.

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John E. Gough, Matthew R. James, Hendra I. Nurdin. 2014-04-23. Quantum Trajectories for a Class of Continuous Matrix Product Input States. https://doi.org/10.1088/1367-2630/16/7/075008

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