Decomposition of quantum Markov chains and its applications

作者：

Highlights：

• We develop a new decomposition technique, namely periodic decomposition, for quantum Markov chains.

• We give several characterizations of limiting states in terms of aperiodicity, irreducibility and eigenvalues.

• We present a new algorithm to find a maximum dimensional noiseless subsystem using the decomposition techniques.

摘要

•We develop a new decomposition technique, namely periodic decomposition, for quantum Markov chains.•We give several characterizations of limiting states in terms of aperiodicity, irreducibility and eigenvalues.•We present a new algorithm to find a maximum dimensional noiseless subsystem using the decomposition techniques.

论文关键词：Quantum Markov chains,Irreducibility,Periodicity,Limiting states,Noiseless subsystems

论文评审过程：Received 8 September 2017, Revised 4 January 2018, Accepted 18 January 2018, Available online 8 March 2018, Version of Record 30 April 2018.

论文官网地址：https://doi.org/10.1016/j.jcss.2018.01.005