Hidden Quantum Markov Models and Open Quantum Systems with Instantaneous Feedback
Abstract
Hidden Markov Models are widely used in classical computer science to model stochastic processes with a wide range of applications. This paper concerns the quantum analogues of these machines --- so-called Hidden Quantum Markov Models (HQMMs). Using the properties of Quantum Physics, HQMMs are able to generate more complex random output sequences than their classical counterparts, even when using the same number of internal states. They are therefore expected to find applications as quantum simulators of stochastic processes. Here, we emphasise that open quantum systems with instantaneous feedback are examples of HQMMs, thereby identifying a novel application of quantum feedback control.
Keywords
Cite
@article{arxiv.1406.5847,
title = {Hidden Quantum Markov Models and Open Quantum Systems with Instantaneous Feedback},
author = {Lewis A. Clark and Wei Huang and Thomas M. Barlow and Almut Beige},
journal= {arXiv preprint arXiv:1406.5847},
year = {2015}
}
Comments
10 Pages, proceedings for the Interdisciplinary Symposium on Complex Systems in Florence, September 2014, minor corrections