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Quantum Zeno Dynamics from General Quantum Operations

Quantum Physics 2020-07-08 v3 Mathematical Physics math.MP

Abstract

We consider the evolution of an arbitrary quantum dynamical semigroup of a finite-dimensional quantum system under frequent kicks, where each kick is a generic quantum operation. We develop a generalization of the Baker-Campbell-Hausdorff formula allowing to reformulate such pulsed dynamics as a continuous one. This reveals an adiabatic evolution. We obtain a general type of quantum Zeno dynamics, which unifies all known manifestations in the literature as well as describing new types.

Keywords

Cite

@article{arxiv.1809.09570,
  title  = {Quantum Zeno Dynamics from General Quantum Operations},
  author = {Daniel Burgarth and Paolo Facchi and Hiromichi Nakazato and Saverio Pascazio and Kazuya Yuasa},
  journal= {arXiv preprint arXiv:1809.09570},
  year   = {2020}
}

Comments

43 pages, 10 figures

R2 v1 2026-06-23T04:18:01.586Z