Geometry of pure states of N spin-J system

Abstract

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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Cited by in corpus (5)

• Geometry of the generalized Bloch sphere for qutrits
• Barycentric measure of quantum entanglement
• Classification of Entanglement in Symmetric States
• Tomography of time-bin quantum states using time-resolved detection
• Geometric Entanglement of Symmetric States and the Majorana Representation