Decoherence-free linear quantum subsystems

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

This paper provides a general theory for characterizing and constructing a decoherence-free (DF) subsystem for an infinite dimensional linear open quantum system. The main idea is that, based on the Heisenberg picture of the dynamics rather than the commonly-taken Schrödinger picture, the notions of controllability and observability in control theory are employed to characterize a DF subsystem. A particularly useful result is a general if and only if condition for a linear system to have a DF component; this condition is used to demonstrate how to actually construct a DF dynamics in some specific examples. It is also shown that, as in the finite dimensional case, we are able to do coherent manipulation and preservation of a state of a DF subsystem.

Original languageEnglish
Article number6777569
Pages (from-to)1845-1857
Number of pages13
JournalIEEE Transactions on Automatic Control
Volume59
Issue number7
DOIs
Publication statusPublished - 2014

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Observability
Controllability
Control theory
Linear systems

Keywords

  • controllability and observability
  • decoherence-free (DF) subsystem
  • quantum information
  • Quantum linear systems

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Control and Systems Engineering
  • Computer Science Applications

Cite this

Decoherence-free linear quantum subsystems. / Yamamoto, Naoki.

In: IEEE Transactions on Automatic Control, Vol. 59, No. 7, 6777569, 2014, p. 1845-1857.

Research output: Contribution to journalArticle

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