A. Chantasri, J. Dressel, A. N. Jordan
We present a stochastic path integral formalism for continuous quantum measurement. By writing the joint probability density function of measurement outcomes and quantum state trajectories as a path integral over a doubled quantum state space, we enable analysis of the measurement process using action methods. We find the most-likely paths with boundary conditions defined by pre- and postselected states as solutions to a set of ordinary differential equations that extremize the action. As an application, we analyze continuous qubit measurement in detail. Notably, we provide a phase space analysis for a quantum jump in the Zeno measurement regime.
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http://arxiv.org/abs/1305.5201
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