Quantum Zeno Dynamics from General Quantum Operations
Daniel Burgarth, Paolo Facchi, Hiromichi Nakazato, Saverio Pascazio,, Kazuya Yuasa
TL;DR
This paper generalizes quantum Zeno dynamics by analyzing the evolution of finite-dimensional quantum systems under frequent, generic quantum operations, unifying known phenomena and discovering new types.
Contribution
It develops a generalized Baker-Campbell-Hausdorff formula to reformulate pulsed quantum dynamics as continuous evolution, revealing new quantum Zeno effects.
Findings
Unified framework for quantum Zeno phenomena
Reformulation of pulsed dynamics as continuous evolution
Discovery of new types of quantum Zeno dynamics
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.
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