Quantum Zeno Dynamics from General Quantum Operations

Daniel Burgarth; Paolo Facchi; Hiromichi Nakazato; Saverio Pascazio; Kazuya Yuasa

doi:10.22331/q-2020-07-06-289

Quantum Zeno Dynamics from General Quantum Operations

Daniel Burgarth¹, Paolo Facchi^2,3, Hiromichi Nakazato⁴, Saverio Pascazio^2,3, and Kazuya Yuasa⁴

¹Center for Engineered Quantum Systems, Dept. of Physics & Astronomy, Macquarie University, 2109 NSW, Australia
²Dipartimento di Fisica and MECENAS, Università di Bari, I-70126 Bari, Italy
³INFN, Sezione di Bari, I-70126 Bari, Italy
⁴Department of Physics, Waseda University, Tokyo 169-8555, Japan

Published:	2020-07-06, volume 4, page 289
Eprint:	arXiv:1809.09570v3
Doi:	https://doi.org/10.22331/q-2020-07-06-289
Citation:	Quantum 4, 289 (2020).

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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.

► BibTeX data

@article{Burgarth2020quantumzenodynamics,
  doi = {10.22331/q-2020-07-06-289},
  url = {https://doi.org/10.22331/q-2020-07-06-289},
  title = {Quantum {Z}eno {D}ynamics from {G}eneral {Q}uantum {O}perations},
  author = {Burgarth, Daniel and Facchi, Paolo and Nakazato, Hiromichi and Pascazio, Saverio and Yuasa, Kazuya},
  journal = {{Quantum}},
  issn = {2521-327X},
  publisher = {{Verein zur F{\"{o}}rderung des Open Access Publizierens in den Quantenwissenschaften}},
  volume = {4},
  pages = {289},
  month = jul,
  year = {2020}
}

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