We provide algebraic criteria for the unitarity of linear quantum cellular automata, i.e. one dimensional quantum cellular automata. We derive these both by direct combinatorial arguments, and by adding constraints into the model which do not change the quantum cellular automata's computational power. The configurations we consider have finite but unbounded size.
机构:
Univ Calif Santa Barbara, Microsoft Res, Stn Q, Santa Barbara, CA 93106 USA
Univ Calif Santa Barbara, Dept Math, Santa Barbara, CA 93106 USAUniv Calif Santa Barbara, Microsoft Res, Stn Q, Santa Barbara, CA 93106 USA
Freedman, Michael
Hastings, Matthew B.
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机构:
Univ Calif Santa Barbara, Microsoft Res, Stn Q, Santa Barbara, CA 93106 USAUniv Calif Santa Barbara, Microsoft Res, Stn Q, Santa Barbara, CA 93106 USA