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 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. 
John E. Gough, Matthew R. James, and Hendra I. Nurdin
quant-ph cs.SY math-ph math.MP math.OC