0008020v1

related topics
{observables, space, algebra}
{level, atom, field}

Operational resolutions and state transitions in a categorical setting

Bob Coecke, Isar Stubbe

abstract: We define a category with as objects operational resolutions and with as morphisms - not necessarily deterministic - state transitions. We study connections with closure spaces and join-complete lattices and sketch physical applications related to evolution and compoundness. An appendix with preliminaries on quantaloids is included.

oai_identifier:
oai:arXiv.org:quant-ph/0008020
categories:
quant-ph math-ph math.CT math.DS math.MP
comments:
21 pages
arxiv_id:
quant-ph/0008020
journal_ref:
Foundations of Physics Letters {\bf 12}, 29-49, 1999
created:
2000-08-03

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