Physics – Quantum Physics
Scientific paper
2009-06-26
Physics
Quantum Physics
33 pages, improvement of presentation
Scientific paper
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.
No associations
LandOfFree
Quantum mechanics from classical statistics does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Quantum mechanics from classical statistics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum mechanics from classical statistics will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-670959