Blasiak, P.; Horzela, A.; Duchamp, G. H. E.; Penson, K. A. and Solomon, A. I.
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|DOI (Digital Object Identifier) Link:||http://dx.doi.org/10.1088/1742-6596/213/1/012014|
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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|
|Copyright Holders:||2010 IOP Publishing|
|Academic Unit/Department:||Science > Physical Sciences|
|Depositing User:||Astrid Peterkin|
|Date Deposited:||26 May 2010 14:39|
|Last Modified:||03 Dec 2012 15:18|
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