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- W2951570284 abstract "In standard quantum theory, the ideas of information-entropy and of pure states are closely linked. States are represented by density matrices $rho$ on a Hilbert space and the information-entropy $-tr(rhologrho)$ is minimised on pure states (pure states are the vertices of the boundary of the convex set of states). The space of decoherence functions in the consistent histories approach to generalised quantum theory is also a convex set. However, by showing that every decoherence function can be written as a convex combination of two other decoherence functions we demonstrate that there are no `pure' decoherence functions. The main content of the paper is a new notion of information-entropy in generalised quantum mechanics which is applicable in contexts in which there is no a priori notion of time. Information-entropy is defined first on consistent sets and then we show that it decreases upon refinement of the consistent set. This information-entropy suggests an intrinsic way of giving a consistent set selection criterion." @default.
- W2951570284 created "2019-06-27" @default.
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- W2951570284 date "1996-12-12" @default.
- W2951570284 modified "2023-10-18" @default.
- W2951570284 title "Information-entropy and the space of decoherence functions in generalised quantum theory" @default.
- W2951570284 cites W2001195787 @default.
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- W2951570284 doi "https://doi.org/10.48550/arxiv.quant-ph/9612035" @default.
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