Central limit theorem for reducible and irreducible open quantum walks

Central limit theorem for reducible and irreducible open quantum walks In this work we aim at proving central limit theorems for open quantum walks on $${\mathbb {Z}}^d$$ Z d . We study the case when there are various classes of vertices in the network. In particular, we investigate two ways of distributing the vertex classes in the network. First, we assign the classes in a regular pattern. Secondly, we assign each vertex a random class with a transition invariant distribution. For each way of distributing vertex classes, we obtain an appropriate central limit theorem, illustrated by numerical examples. These theorems may have application in the study of complex systems in quantum biology and dissipative quantum computation. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

Central limit theorem for reducible and irreducible open quantum walks

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Publisher
Springer US
Copyright
Copyright © 2016 by The Author(s)
Subject
Physics; Quantum Information Technology, Spintronics; Quantum Computing; Data Structures, Cryptology and Information Theory; Quantum Physics; Mathematical Physics
ISSN
1570-0755
eISSN
1573-1332
D.O.I.
10.1007/s11128-016-1314-z
Publisher site
See Article on Publisher Site

Abstract

In this work we aim at proving central limit theorems for open quantum walks on $${\mathbb {Z}}^d$$ Z d . We study the case when there are various classes of vertices in the network. In particular, we investigate two ways of distributing the vertex classes in the network. First, we assign the classes in a regular pattern. Secondly, we assign each vertex a random class with a transition invariant distribution. For each way of distributing vertex classes, we obtain an appropriate central limit theorem, illustrated by numerical examples. These theorems may have application in the study of complex systems in quantum biology and dissipative quantum computation.

Journal

Quantum Information ProcessingSpringer Journals

Published: Apr 13, 2016

References

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