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The purpose of this paper is to determine quantum master and filter equationsfor systems coupled to fields in certain non-classical continuous-mode states.Specifically, we consider two types of field states (i) single photon states,and (ii) superpositions of coherent states. The system and field are describedusing a quantum stochastic unitary model. Master equations are derived fromthis model and are given in terms of systems of coupled equations. The outputfield carries information about the system, and is continuously monitored. Thequantum filters are determined with the aid of an embedding of the system intoa larger non-Markovian system, and are given by a system of coupled stochasticdifferential equations.

Quantum Filtering for Systems Driven by Fields in Single Photon States and Superposition of Coherent States using Non-Markovian Embeddings