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Title: Quantum State Reduction
Authors: Brody, DC
Hughston, LP
Keywords: Quantum mechanics;ollapse of wave function;Measurement problem;Density matrix;Master equation;Stochastic analysis;Nonlinear filtering
Issue Date: 2016
Publisher: Cambridge University Press
Citation: Collapse of the Wave Function, (2016)
Abstract: We propose an energy-driven stochastic master equation for the density matrix as a dynamical model for quantum state reduction. In contrast, most previous studies of state reduction have considered stochastic extensions of the Schr¬®odinger equation, and have introduced the density matrix as the expectation of the random pure projection operator associated with the evolving state vector. After working out properties of the reduction process we construct a general solution to the energy- driven stochastic master equation. The solution is obtained by the use of nonlinear filtering theory and takes the form of a completely positive stochastic map.
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