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(12 Mar 2013) Key: citeulike:12143486
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We define different classes of local random quantum circuits (L-RQC) and show that: a) statistical properties of L-RQC are encoded into an associated family of completely positive maps and b) average purity dynamics can be described by the action of these maps on operator algebras of permutations (swap algebras). We prove infinite time results for the expectation value of the purity of a local region both for uncorrelated and correlated L-RQC's.
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