The Structure of Decoherence-free Subsystems
Quantum Physics
2018-02-15 v1
Abstract
Decoherence-free subsystems have been successfully developed as a tool to preserve fragile quantum information against noises. In this letter, we develop a structure theory for decoherence-free subsystems. Based on it, we present an effective algorithm to construct a set of maximal decoherence-free subsystems in the sense that any other such subsystem is a subspace of one of them. As an application of these techniques in quantum many body systems, we propose a simple and numerically robust method to determine if two irreducible tensors are repeated, a key step in deciding if they are equivalent in generating matrix product states.
Cite
@article{arxiv.1802.04904,
title = {The Structure of Decoherence-free Subsystems},
author = {Ji Guan and Yuan Feng and Mingsheng Ying},
journal= {arXiv preprint arXiv:1802.04904},
year = {2018}
}