Two level quantum system (Qubit) and non-classical states of light such as single photon and superposition of coherent state are under special attention in quantum technologies such as quantum computing, quantum communication and quantum computers. So, behavior of two-level system driven by such inputs is important. In this paper, the behavior of two-level quantum system driven by vacuum state, single photon and superposition of coherent state was investigated by assuming Pauli matrices as system operators in quantum filtering equations. The purity of conditioned and unconditioned state are also analyzed when the system is driven by different inputs. The results show that the stochastic master equation dynamic has more information about the status of system than master equation dynamic. Index TermsTwo-level quantum system, Quantum filtering, Single photon, Superposition of coherent states, Stochastic master equation.

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