The Problem of Measurement and the Theory of Quantum State Reduction

Details The Problem of Measurement and the Theory of Quantum State Reduction The Problem of Measurement and the Theory of Quantum State Reduction

1997-10-07

arxiv.org/abs/quant-ph/9710023v2

Fifth International Conference on Squeezed States and Uncertainty Relations, edited by D. Han, J. Jansky, Y. S. Kim and V. I.

Physics

Quantum Physics

6 pages, LaTeX, no figures, invited talk at 5th International Conference on Squeezed States and Uncertainty Relations (May 199

Scientific paper

A new approach to the problem of measurement in quantum mechanics is proposed. In this approach, the process of measurement is described in the Heisenberg picture and divided into two stages. The first stage is to transduce the measured observable to the probe observable. The second stage is to amplify the probe observable to the macroscopic meter observable. Quantum state reduction is derived, based on the quantum Bayes principle, from the object-apparatus interaction in the first stage. The dynamical process of the second stage is described as a quantum amplification with infinite gain based on nonstandard analysis.

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