Matrix Product States approach to non-Markovian processes

2014/10/03 by Benoît Descamps, Descamps Benoit, Benoit, Descamps
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #Quantum many-body systems #quant-ph

paper · pdf · doi:10.48550/arxiv.1410.0877

mostly notes, additional comments are welcome

openalex publication_date 2014/10/03 · arxiv created 2014/10/31 · arxiv updated 2014/11/03 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

A matrix product state approach to non-Markovian, classical and quantum processes is discussed. In the classical case, the Radon-Nikodym derivative of all processes can be embedded into quantum measurement procedure. In the both cases, quantum and classical, the master equation can be derived from a projecting a quantum Markovian process onto a lower dimensional subspace.

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