Hidden Quantum Markov Models with one qubit
Abstract
Hidden Markov Models (HMMs) have become very popular as a computational tool for the analysis of sequential data. They are memoryless machines which transition from one internal state to another, while producing symbols. These symbols constitute the output of the machine and form an infinite time series. Analogously, Hidden Quantum Markov Models (HQMM) produce an infinite time series, while progressing from one quantum state to another through stochastic quantum operations. Here we compare 1-bit HMMs and 1-qubit HQMMs and show that the latter can produce stronger correlations, although both machines are, in principle, comparable in resources.
Keywords
Cite
@article{arxiv.1207.4304,
title = {Hidden Quantum Markov Models with one qubit},
author = {Ben O`Neill and Tom M. Barlow and Dominik Safranek and Almut Beige},
journal= {arXiv preprint arXiv:1207.4304},
year = {2012}
}
Comments
4 pages, 1 figure, Proceedings for the Interdisciplinary Symposium on Complex Systems in Kos, September 2012