Geometry of pure states of N spin-J system

Physics – Quantum Physics

Scientific paper

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Scientific paper

10.1142/S1230161210000084

We present the geometry of pure states of an ensemble of N spin-J systems using a generalisation of the Majorana representation. The approach is based on Schur-Weyl duality that allows for simple interpretation of the state transformation under the action of general linear and permutation groups. We show an exemplary application in theory of decoherence free subspaces and noiseless subsystems.

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