Quantum Zeno Dynamics from General Quantum Operations
Daniel Burgarth, Paolo Facchi, Hiromichi Nakazato, Saverio Pascazio, Kazuya Yuasa
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.
Topics & Concepts
Quantum Zeno effectQuantum dynamicsZeno's paradoxesQuantumQuantum operationQuantum processGeneralizationSemigroupMathematicsType (biology)Adiabatic processOpen quantum systemQuantum dissipationClassical mechanicsPure mathematicsPhysicsQuantum mechanicsMathematical analysisGeometryBiologyEcologyQuantum Computing Algorithms and ArchitectureQuantum Information and CryptographyQuantum chaos and dynamical systems