Decoherence-free linear quantum subsystems

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18 Citations (Scopus)


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
Issue number7
Publication statusPublished - 2014 Jul


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

ASJC Scopus subject areas

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


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