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Control Theory and Technology

, Volume 15, Issue 3, pp 193–205 | Cite as

Pole placement approach to coherent passive reservoir engineering for storing quantum information

  • Thien Nguyen
  • Zibo Miao
  • Yu Pan
  • Nina Amini
  • Valery Ugrinovskii
  • Matthew R. James
Article

Abstract

Reservoir engineering is the term used in quantum control and information technologies to describe manipulating the environment within which an open quantum system operates. Reservoir engineering is essential in applications where storing quantum information is required. From the control theory perspective, a quantum system is capable of storing quantum information if it possesses a so-called decoherence free subsystem (DFS). This paper explores pole placement techniques to facilitate synthesis of decoherence free subsystems via coherent quantum feedback control. We discuss limitations of the conventional ‘open loop’ approach and propose a constructive feedback design methodology for decoherence free subsystem engineering. It captures a quite general dynamic coherent feedback structure which allows systems with decoherence free modes to be synthesized from components which do not have such modes.

Keywords

Open quantum system decoherence free subsystem reservoir engineering coherent feedback control quantum control 

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Copyright information

© South China University of Technology, Academy of Mathematics and Systems Science, Chinese Academy of Sciences and Springer-Verlag GmbH Germany 2017

Authors and Affiliations

  • Thien Nguyen
    • 1
  • Zibo Miao
    • 2
  • Yu Pan
    • 3
  • Nina Amini
    • 4
  • Valery Ugrinovskii
    • 5
  • Matthew R. James
    • 1
  1. 1.ARC Centre for Quantum Computation and Communication Technology, Research School of EngineeringThe Australian National UniversityCanberraAustralia
  2. 2.QUANTIC labINRIA ParisParisFrance
  3. 3.Institute of Cyber-Systems and ControlZhejiang UniversityHangzhou ZhejiangChina
  4. 4.Laboratoire des signaux et systèmes (L2S), CentraleSupélecCNRSGif-Sur-YvetteFrance
  5. 5.School of Engineering and Information TechnologyUniversity of New South Wales at the Australian Defence Force AcademyCanberraAustralia

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