Towards a complete and continuous Wigner function for an ensemble of spins or qubits

Derek Harland*, M. J. Everitt, Kae Nemoto, T. Tilma, T. P. Spiller

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We present a quasiprobability distribution function for ensembles of spin-half particles or qubits that has many properties in common with Wigner's original function for systems of continuous variables. We show that this function provides clear and intuitive graphical representation of a wide variety of states, including Fock states, spin-coherent states, squeezed states, superpositions, and statistical mixtures. The distribution is capable of simultaneously representing several angular momentum shells.

Original languageEnglish
Article number062117
JournalPhysical Review A
Issue number6
Publication statusPublished - 26 Dec 2012

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