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Quantum Algorithms
Complex probabilities on R(N) as real probabilities on C(N) and an application to path integrals.
PubMed
Authors: Weingarten D
Year
2002
Paper ID
13126
Status
Peer-reviewed
Abstract Read
~2 min
Abstract Words
81
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N/A
Abstract
We establish a necessary and sufficient condition for averages over complex-valued weight functions on R(N) to be represented as statistical averages over real, non-negative probability weights on C(N). Using this result, we show that many path integrals for time-ordered expectation values of bosonic degrees of freedom in real-valued time can be expressed as statistical averages over ensembles of paths with complex-valued coordinates, and then speculate on possible consequences of this result for the relation between quantum and classical mechanics.
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- We establish a necessary and sufficient condition for averages over complex-valued weight functions on R(N) to be represented as statistical averages over real, non-negative...
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