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A Categorical semantics of Quantum Protocols

Abstract:

We study quantum information and computation from a novel point of view. Our approach is based on recasting the standard axiomatic presentation of quantum mechanics, due to von Neumann, at a more abstract level, of compact closed categories with biproducts. We show how the essential structures found in key quantum information protocols such as teleportation, logic-gate teleportation, and entanglement-swapping can be captured at this abstract level. Moreover, from the combination of the –appar...

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Samson Abramsky More by this author
Bob Coecke More by this author
Publisher:
Oxford University Computing Laboratory
Publication date:
2004-02-01
URN:
uuid:a9bf3c76-d5bd-48ab-9aea-06f4ac4d1c49
Local pid:
cs:25

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