Decoherent Histories and Quantum State Diffusion
L.Diosi, N.Gisin, J.J.Halliwell, I.G.Percival
TL;DR
This paper explores the relationship between decoherent histories and quantum state diffusion in open quantum systems, showing they are closely connected and yield similar probabilities for quantum histories.
Contribution
It establishes a novel link between the decoherent histories framework and quantum state diffusion, demonstrating their equivalence in describing open quantum systems.
Findings
Localization in QSD corresponds to decoherence in DH
Probabilities for histories are essentially the same in both approaches
The degree of localization relates to the degree of decoherence
Abstract
We demonstrate a close connection between the decoherent histories (DH) approach to quantum mechanics and the quantum state diffusion (QSD) picture, for open quantum systems described by a master equation of Lindblad form. The (physically unique) set of variables that localize in the QSD picture also define an approximately decoherent set of histories in the DH approach. The degree of localization is related to the degree of decoherence, and the probabilities for histories prescribed by each approach are essentially the same.
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