Quantum mechanics from classical statistics
Quantum mechanics can emerge from classical statistics. A typical quantum system describes an isolated subsystem of a classical statistical ensemble with infinitely many classical states. The state of this subsystem can be characterized by only a few probabilistic observables. Their expectation valu...
Gespeichert in:
| 1. Verfasser: | |
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| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
[April 2010]
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| In: |
Annals of physics
Year: 2010, Jahrgang: 325, Heft: 4, Pages: 852-898 |
| DOI: | 10.1016/j.aop.2009.12.006 |
| Online-Zugang: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1016/j.aop.2009.12.006 Verlag, lizenzpflichtig, Volltext: https://www.sciencedirect.com/science/article/pii/S0003491609002462 
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| Verfasserangaben: | C. Wetterich (Institut für Theoretische Physik, Universität Heidelberg) |
MARC
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| 520 | |a Quantum mechanics can emerge from classical statistics. A typical quantum system describes an isolated subsystem of a classical statistical ensemble with infinitely many classical states. The state of this subsystem can be characterized by only a few probabilistic observables. Their expectation values define a density matrix if they obey a “purity constraint”. Then all the usual laws of quantum mechanics follow, including Heisenberg’s uncertainty relation, entanglement and a violation of Bell’s inequalities. No concepts beyond classical statistics are needed for quantum physics - the differences are only apparent and result from the particularities of those classical statistical systems which admit a quantum mechanical description. Born’s rule for quantum mechanical probabilities follows from the probability concept for a classical statistical ensemble. In particular, we show how the non-commuting properties of quantum operators are associated to the use of conditional probabilities within the classical system, and how a unitary time evolution reflects the isolation of the subsystem. As an illustration, we discuss a classical statistical implementation of a quantum computer. | ||
| 650 | 4 | |a Classical statistical description of quantum mechanics | |
| 650 | 4 | |a Conditional correlations | |
| 650 | 4 | |a Foundation of quantum mechanics | |
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