Gough, J.E.James, MatthewNurdin, Hendra2015-12-131367-2630http://hdl.handle.net/1885/74076We 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.Author/s retain copyright201410.1088/1367-2630/16/7/0750082015-12-11