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 traj... https://fitnessgravesyardes.shop/product-category/acoustic-grommet/