dorsal/arxiv
View SchemaThe Problem of Measurement and the Theory of Quantum State Reduction
| Authors | Masanao Ozawa |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9710023 |
| URL | https://arxiv.org/abs/quant-ph/9710023 |
| 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 |
Abstract
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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"abstract": "A new approach to the problem of measurement in quantum mechanics is\nproposed. In this approach, the process of measurement is described in the\nHeisenberg picture and divided into two stages. The first stage is to transduce\nthe measured observable to the probe observable. The second stage is to amplify\nthe probe observable to the macroscopic meter observable. Quantum state\nreduction is derived, based on the quantum Bayes principle, from the\nobject-apparatus interaction in the first stage. The dynamical process of the\nsecond stage is described as a quantum amplification with infinite gain based\non nonstandard analysis.",
"arxiv_id": "quant-ph/9710023",
"authors": [
"Masanao Ozawa"
],
"categories": [
"quant-ph"
],
"journal_ref": "Fifth International Conference on Squeezed States and Uncertainty\n Relations, edited by D. Han, J. Jansky, Y. S. Kim and V. I. Man\u0027ko (NASA,\n Goddard, 1998) 517",
"title": "The Problem of Measurement and the Theory of Quantum State Reduction",
"url": "https://arxiv.org/abs/quant-ph/9710023"
},
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