%0 Journal Article %A Tilma, Todd %A Everitt, Mark %A Samson, John %A Munro, W.J. %A Nemoto, Kae %D 2016 %T Wigner Functions for Arbitrary Quantum Systems %U https://repository.lboro.ac.uk/articles/journal_contribution/Wigner_Functions_for_Arbitrary_Quantum_Systems/9409286 %2 https://repository.lboro.ac.uk/ndownloader/files/17026700 %K Characteristic functions %K Group parametrizations %K Physical Sciences not elsewhere classified %X The possibility of constructing a complete, continuous Wigner function for any quantum system has been a subject of investigation for over 50 years. A key system that has served to illustrate the difficulties of this problem has been an ensemble of spins. While numerous attempts have come close to generating a complete Wigner phase-space description for such a system, each has either been artificial in its construction or restricted in its applications. Here we present a general method of constructing Wigner functions that can be used to fully describe quantum spin systems of any dimension or ensemble size. %I Loughborough University