Masanao Ozawa
Published 1997-10-07, updated 1997-11-06Version 2
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.
Comments: 6 pages, LaTeX, no figures, invited talk at 5th International Conference on Squeezed States and Uncertainty Relations (May 1997, Balatonfured). Title is corrected
Journal: Fifth International Conference on Squeezed States and Uncertainty Relations, edited by D. Han, J. Jansky, Y. S. Kim and V. I. Man'ko (NASA, Goddard, 1998) 517
Measurement of conditional phase shifts for quantum logic
On the Measurement of Qubits
Measurement and Its Mathematical Scale
