dorsal/arxiv
View SchemaOn the Dynamical Solution of Quantum Measurement Problem
| Authors | V. P. Belavkin |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0512187 |
| URL | https://arxiv.org/abs/quant-ph/0512187 |
Abstract
The development of quantum measurement theory, initiated by von Neumann, only indicated a possibility for resolution of the interpretational crisis of quantum mechanics. We do this by divorcing the algebra of the dynamical generators and the algebra of the actual observables, or beables. It is shown that within this approach quantum causality can be rehabilitated in the form of a superselection rule for compatibility of the past beables with the potential future. This rule, together with the self-compatibility of the measurements insuring the consistency of the histories, is called the nondemolition, or causality principle in modern quantum theory. The application of this rule in the form of the dynamical commutation relations leads in particular to the derivation of the von Neumann projection postulate. This gives a quantum stochastic solution, in the form of the dynamical filtering equations, of the notorious measurement problem which was tackled unsuccessfully by many famous physicists starting with Schroedinger and Bohr.
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"abstract": "The development of quantum measurement theory, initiated by von Neumann, only\nindicated a possibility for resolution of the interpretational crisis of\nquantum mechanics. We do this by divorcing the algebra of the dynamical\ngenerators and the algebra of the actual observables, or beables. It is shown\nthat within this approach quantum causality can be rehabilitated in the form of\na superselection rule for compatibility of the past beables with the potential\nfuture. This rule, together with the self-compatibility of the measurements\ninsuring the consistency of the histories, is called the nondemolition, or\ncausality principle in modern quantum theory. The application of this rule in\nthe form of the dynamical commutation relations leads in particular to the\nderivation of the von Neumann projection postulate. This gives a quantum\nstochastic solution, in the form of the dynamical filtering equations, of the\nnotorious measurement problem which was tackled unsuccessfully by many famous\nphysicists starting with Schroedinger and Bohr.",
"arxiv_id": "quant-ph/0512187",
"authors": [
"V. P. Belavkin"
],
"categories": [
"quant-ph"
],
"title": "On the Dynamical Solution of Quantum Measurement Problem",
"url": "https://arxiv.org/abs/quant-ph/0512187"
},
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