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- W2055881285 abstract "We consider a generalized model of repeated quantum interactions, where a system $${mathcal{H}}$$ is interacting in a random way with a sequence of independent quantum systems $${mathcal{K}_n, n geq 1}$$ . Two types of randomness are studied in detail. One is provided by considering Haar-distributed unitaries to describe each interaction between $${mathcal{H}}$$ and $${mathcal{K}_n}$$ . The other involves random quantum states describing each copy $${mathcal{K}_n}$$ . In the limit of a large number of interactions, we present convergence results for the asymptotic state of $${mathcal{H}}$$ . This is achieved by studying spectral properties of (random) quantum channels which guarantee the existence of unique invariant states. Finally this allows to introduce a new physically motivated ensemble of random density matrices called the asymptotic induced ensemble." @default.
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- W2055881285 date "2010-10-05" @default.
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- W2055881285 title "Random repeated quantum interactions and random invariant states" @default.
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