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The Group Theoretic Origin of Non−Locality For Qubits

Abstract:

We describe a general framework in which we can precisely compare the structures of quantum-like theories which may initially be formulated in quite different mathematical terms. We then use this framework to compare two theories: quantum mechanics restricted to qubit stabiliser states and operations, and a toy theory proposed by Spekkens. We discover that viewed within our framework these theories are very similar, but differ in one key aspect - a four element group we term the phase group w...

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Authors


Bob Coecke More by this author
Bill Edwards More by this author
Rob Spekkens More by this author
Publisher:
OUCL
Publication date:
2009
URN:
uuid:c28826d8-e501-46ab-a161-ba05c586ad52
Local pid:
cs:3026

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