Blasiak, P.; Horzela, A.; Duchamp, G. H. E.; Penson, K. A. and Solomon, A. I.
(2009).
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| DOI (Digital Object Identifier) Link: | http://dx.doi.org/10.1088/1742-6596/213/1/012014 |
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| Google Scholar: | Look up in Google Scholar |
Abstract
We consider an algebraic formulation of Quantum Theory and develop a combinatorial model of the Heisenberg–Weyl algebra structure. It is shown that by lifting this structure to the richer algebra of graph operator calculus, we gain a simple interpretation involving, for example, the natural composition of graphs. This provides a deeper insight into the algebraic structure of Quantum Theory and sheds light on the intrinsic combinatorial underpinning of its abstract formalism.
| Item Type: | Journal Article |
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| Copyright Holders: | 2010 IOP Publishing |
| ISSN: | 1742-6588 |
| Academic Unit/Department: | Science > Physical Sciences |
| Item ID: | 21366 |
| Depositing User: | Astrid Peterkin |
| Date Deposited: | 26 May 2010 14:39 |
| Last Modified: | 03 Dec 2012 15:18 |
| URI: | http://oro.open.ac.uk/id/eprint/21366 |
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