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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 language | English |
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Article number | 063027 |
Pages (from-to) | 1-28 |
Number of pages | 28 |
Journal | New Journal of Physics |
Volume | 24 |
Issue number | 6 |
DOIs | |
Publication status | Published - 1 Jun 2022 |
Bibliographical note
Copyright © 2022 The Author(s). Published by IOP Publishing Ltd on behalf of the Institute of Physics and Deutsche Physikalische Gesellschaft. Version archived for private and non-commercial use with the permission of the author/s and according to publisher conditions. For further rights please contact the publisher.Keywords
- open quantum systems
- pure Choi-Jamiolkowski state
- quantum control theory
- quantum Zeno effect
- random dynamical decoupling
- reduced dynamics
- unitary time evolution
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Dive into the research topics of 'Unification of random dynamical decoupling and the quantum Zeno effect'. Together they form a unique fingerprint.Projects
- 2 Finished
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UTS led: Pushing the digital limits in quantum simulation for advanced manufacturing
Langford, N., Dehollain, J., Burgarth, D., Berry, D. & Heyl, M.
26/03/21 → 25/03/24
Project: Research
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