Quantum Trajectories for a Class of Continuous Matrix Product Input States
Quantum Physics
2014-08-11 v1 Systems and Control
Mathematical Physics
math.MP
Optimization and Control
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.
Keywords
Cite
@article{arxiv.1404.5699,
title = {Quantum Trajectories for a Class of Continuous Matrix Product Input States},
author = {John E. Gough and Matthew R. James and Hendra I. Nurdin},
journal= {arXiv preprint arXiv:1404.5699},
year = {2014}
}
Comments
17 pages, 2 figures