Quantum logic and decohering histories

Details Quantum logic and decohering histories Quantum logic and decohering histories

1995-06-16

arxiv.org/abs/quant-ph/9506028v1

Physics

Quantum Physics

14 pages LaTeX; Writeup of lecture given at conference ``Theories of fundamental interactions'', Maynooth Eire 24--26 May 1995

Scientific paper

An introduction is given to an algebraic formulation and generalisation of the consistent histories approach to quantum theory. The main technical tool in this theory is an orthoalgebra of history propositions that serves as a generalised temporal analogue of the lattice of propositions of standard quantum logic. Particular emphasis is placed on those cases in which the history propositions can be represented by projection operators in a Hilbert space, and on the associated concept of a `history group'.

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