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Open Quantum Systems Decoherence
Central Limit Theorem and Large Deviation Principle for Continuous Time Open Quantum Walks
arXiv
Authors: Hugo Bringuier
Year
2016
Paper ID
43134
Status
Preprint
Abstract Read
~2 min
Abstract Words
103
Citations
N/A
Abstract
Open Quantum Walks (OQWs), originally introduced by S. Attal, are quantum generalizations of classical Markov chains. Recently, natural continuous time models of OQW have been developed by C. Pellegrini. These models, called Continuous Time Open Quantum Walks (CTOQWs), appear as natural continuous time limits of discrete time OQWs. In particular they are quantum extensions of continuous time Markov chains. This article is devoted to the study of homogeneous CTOQW on mathbb{Z}d. We focus namely on their associated quantum trajectories which allow us to prove a Central Limit Theorem for the "position" of the walker as well as a Large Deviation Principle.
Why This Paper Matters
- This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
- It adds a 2016 reference point for readers tracking recent quantum research.
- Open Quantum Walks (OQWs), originally introduced by S.
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