Linearly Positive Histories: Probabilities for a Robust Family of Sequences of Quantum Events

Details Linearly Positive Histories: Probabilities for a Robust Family of Sequences of Quantum Events Linearly Positive Histories: Probabilities for a Robust Family of Sequences of Quantum Events

1994-03-29

arxiv.org/abs/gr-qc/9403055v3

Phys.Rev.Lett. 74 (1995) 3715-3719

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, LaTeX. Shortened slightly to permit publication in Phys. Rev. Lett. A paragraph after Eq. (21) was expanded

Scientific paper

10.1103/PhysRevLett.74.3715

Nonnegative probabilities that obey the sum rules may be assigned to a much wider family of sets of histories than decohering histories. The resulting {\it linearly positive histories} avoid the highly restrictive decoherence conditions and yet give the same probabilities when those conditions apply. Thus linearly positive histories are a broad extension of decohering histories. Moreover, the resulting theory is manifestly time-reversal invariant.

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