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- W2736839263 abstract "In the context of categorical quantum mechanics, Coecke and Kissinger suggested that two 3-qubit states, GHZ and W, may be used as the building blocks of a new graphical calculus, aimed at a diagrammatic classification of multipartite qubit entanglement under stochastic local operations and classical communication (SLOCC). We present a full graphical axiomatisation of the relations between GHZ and W: the ZW calculus. This refines a version of the preexisting ZX calculus, while keeping its most desirable characteristics: undirectedness, a large degree of symmetry, and an algebraic underpinning. Through an explicit normalisation procedure, the ZW calculus was shown to be complete for the category of free abelian groups on a power of two generators (“qubits with integer coefficients”)." @default.
- W2736839263 created "2017-07-31" @default.
- W2736839263 creator A5073235643 @default.
- W2736839263 date "2015-12-30" @default.
- W2736839263 modified "2023-09-26" @default.
- W2736839263 title "A diagrammatic axiomatisation of the GHZ and W quantum states" @default.
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- W2736839263 hasPublicationYear "2015" @default.
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