Derek Harland, M. J. Everitt, Kae Nemoto, T. Tilma, T. P. Spiller
Published 2012-10-08, updated 2013-03-01Version 3
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.
Comments: 11 pages, 6 figures. If viewed in adobe reader all figures except Fig 2 are interactive. For the non-interactive figures corresponding to those of the published version of this work please see version one of this preprint (which is also a much smaller file)
Journal: Phys. Rev. A 86, 062117 (2012)
Witnessing negativity of Wigner function by estimating fidelities of cat-like states from homodyne measurements
Coherent-state path integral calculation of the Wigner function
Explicit Solution of the Time Evolution of the Wigner Function
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