Physics – Quantum Physics
Scientific paper
2009-02-16
Physics
Quantum Physics
Scientific paper
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 \emph{asymptotic induced ensemble}.
Nechita Ion
Pellegrini Clément
No associations
LandOfFree
Random repeated quantum interactions and random invariant states does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Random repeated quantum interactions and random invariant states, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Random repeated quantum interactions and random invariant states will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-462755