Towards a complete and continuous Wigner function for an ensemble of spins or qubits
journal contributionposted on 2013-01-31, 16:34 authored by Derek Harland, Mark EverittMark Everitt, Kae Nemoto, Todd Tilma, T.P. Spiller
We present a new quasi-probability 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. Unlike previous attempts to represent ensembles of spins/qubits, this distribution is capable of simultaneously representing several angular momentum shells.