2012/04/25 by M. Fannes, Mark Fannes, Fannes, Mark +2
Computer Science · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Matrix Theory and Algorithms #Quantum many-body systems #math-ph #math.MP #quant-ph
paper · pdf · doi:10.48550/arxiv.1204.5757
22 pages
arxiv created 2012/04/25 · arxiv updated 2012/04/27
We study a quantum process that can be considered as a quantum analogue for the classical Markov process. We specifically construct a version of these processes for free Fermions. For such free Fermionic processes we calculate the entropy density. This can be done either directly using Szegö's theorem for asymptotic densities of functions of Toeplitz matrices, or through an extension of said theorem to rates of functions, which we present in this article.