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Abstract: Dicke states are states of a collection of particles which have been underactive investigation for several reasons. One reason is that the decay rates ofthese states can be quite different from a set of independently evolvingparticles. Another reason is that a particular class of these states aredecoherence-free or noiseless with respect to a set of errors. These noiselessstates, or more generally subsystems, can avoid certain types of errors inquantum information processing devices. Here we provide a method forcalculating invariants of systems of particles undergoing collective motions.These invariants can be used to determine a complete set of commutingobservables for a class of Dicke states as well as identify possible logicaloperations for decoherence-free-noiseless subsystems. Our method is quitegeneral and provides results for cases where the constituent particles havemore than two internal states.

Autor: C. Allen Bishop, Mark S. Byrd, Lian-Ao Wu


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