Unification of random dynamical decoupling and the quantum Zeno effect

Alexander Hahn*, Daniel Burgarth, Kazuya Yuasa

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

Periodic deterministic bang-bang dynamical decoupling and the quantum Zeno effect are known to emerge from the same physical mechanism. Both concepts are based on cycles of strong and frequent kicks provoking a subdivision of the Hilbert space into independent subspaces. However, previous unification results do not capture the case of random bang-bang dynamical decoupling, which can be advantageous to the deterministic case but has an inherently acyclic structure. Here, we establish a correspondence between random dynamical decoupling and the quantum Zeno effect by investigating the average over random decoupling evolutions. This protocol is a manifestation of the quantum Zeno dynamics and leads to a unitary bath evolution. By providing a framework that we call equitability of system and bath, we show that the system dynamics under random dynamical decoupling converges to a unitary with a decoupling error that characteristically depends on the convergence speed of the Zeno limit. This reveals a unification of the random dynamical decoupling and the quantum Zeno effect.

Original languageEnglish
Article number063027
JournalNew Journal of Physics
Volume24
Issue number6
DOIs
Publication statusPublished - 2022 Jun 1

Keywords

  • open quantum systems
  • pure Choi-Jamiolkowski state
  • quantum control theory
  • quantum Zeno effect
  • random dynamical decoupling
  • reduced dynamics
  • unitary time evolution

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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