On maximum number of decoherent histories

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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5 pages LaTeX (2nd version, new ref. included)

Scientific paper

10.1016/0375-9601(95)00440-E

It is shown that $N^2$ is the upper limit for the number of histories in a
decohering family of $N$-state quantum system. Simple criterion is found for a
family of $N^2$ fine grained decohering histories of Gell-Mann and Hartle to be
identical with a family of Griffiths' consistent quantum trajectories.

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