Confusability graphs for symmetric sets of quantum states

Giulio Chiribella; Yuxiang Yang

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Confusability graphs for symmetric sets of quantum states

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arxiv 1301.1094 v2 pith:WHUQC63Y submitted 2013-01-07 quant-ph math-phmath.MP

Giulio Chiribella , Yuxiang Yang This is my paper

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keywords groupquantumstatesactiongraphadjacentanalyzeapplications

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For a set of quantum states generated by the action of a group, we consider the graph obtained by considering two group elements adjacent whenever the corresponding states are non-orthogonal. We analyze the structure of the connected components of the graph and show two applications to the optimal estimation of an unknown group action and to the search for decoherence free subspaces of quantum channels with symmetry.

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