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PHASE GROUPS AND LOCAL HIDDEN VARIABLES

Abstract:

This report extends previous work [3] in which quantum mechanics and a quantum-like theory (Spekkens’s toy bit theory [5]) were compared within the framework of symmetric monoidal categories. In this context, each quantum-like theory is naturally associated with an Abelian group, termed its phase group. Quantum mechanics and the toy bit theory exhibit different phase groups, Z4 and Z2 × Z2 respectively, and it was shown that this difference exactly underlies the fact that while the prediction...

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Bill Edwards More by this author
Publication date:
2010-09-01
URN:
uuid:6b995a80-e8a4-4138-9e96-0546de66f848
Local pid:
cs:3716

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