4.7 Article

Stabilizing Quantum States by Constructive Design of Open Quantum Dynamics

Journal

IEEE TRANSACTIONS ON AUTOMATIC CONTROL
Volume 55, Issue 12, Pages 2901-2905

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2010.2079532

Keywords

Feedback master equation (FME); Lindblad-Gorini-Kossakowskii-Sudarshan master equation (LME)

Funding

  1. University of Padova [CPDA080209/08]
  2. Department of Information Engineering
  3. EPSRC ARF [EP/D07192X/1]
  4. Hitachi
  5. EPSRC [EP/D07195X/1] Funding Source: UKRI
  6. Engineering and Physical Sciences Research Council [EP/D07195X/1] Funding Source: researchfish

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Based on recent work on the asymptotic behavior of controlled quantum Markovian dynamics, we show that any generic quantum state can be stabilized by devising constructively a simple Lindblad-GKS generator that can achieve global asymptotic stability at the desired state. The applicability of such result is demonstrated by designing a direct feedback strategy that achieves global stabilization of a qubit state encoded in a noise-protected subspace.

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