Martingale Models for Quantum State Reduction

  title={Martingale Models for Quantum State Reduction},
  author={Stephen L. Adler and Dorje C. Brody and Todd A. Brun and Lane P. Hughston},
Stochastic models for quantum state reduction give rise to statistical laws that are in most respects in agreement with those of quantum measurement theory. Here we examine the correspondence of the two theories in detail, making a systematic use of the methods of martingale theory. An analysis is carried out to determine the magnitude of the fluctuations experienced by the expectation of the observable during the course of the reduction process and an upper bound is established for the… CONTINUE READING
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