Operational resolutions and state transitions in a categorical setting (1999) [9 citations — 6 self]
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by Bob Coecke, Isar Stubbe
Found. Phys. Letters
http://www.vub.ac.be/CLEA/BobPapers/OpResCats.ps
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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. Key words: state and property transitions, closure space, complete lattice, quantales and quantaloids. 1.
Citations
| 182 | Abstract and Concrete Categories – Adámek, Herrlich, et al. - 1990 |
| 55 | Foundations of quantum physics – Piron - 1976 |
| 13 | Categories for the Working Mathematician, Springer-Verlag – MacLane - 1971 |
| 12 | On a duality of quantales emerging from an operational resolution – Coecke, Stubbe - 1999 |
| 8 | Simple quantales – Paseka - 1997 |
| 2 | Logical description for perfect measurements – Coecke, Smets - 2000 |
| 1 | Handbook of Categorical Algebra Part 1 and 2 – Borceux - 1994 |
| 1 | Helvetica Phys – Coecke - 1995 |
| 1 | Structural Characterization of Compoundness", submitted to Int – Coecke |
| 1 | Helvetica Phys – Daniel - 1989 |
| 1 | Papers by the present authors are downloadable at (.ps files with fonts): http://www.vub.ac.be/CLEA/BobDownloads.html – Foulis, Proc - 1960 |
| 1 | Helvetica Phys – Faure, Moore, et al. - 1995 |
| 1 | Helvetica Phys – Piron - 1964 |
