Quantum Zeno Dynamics from General Quantum Operations

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.

43 pages, 10 figures

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Cited by in corpus (20)

• Quantum stochastic processes and quantum non-Markovian phenomena
• Noise-induced quantum synchronization
• Constrained Optimization via Quantum Zeno Dynamics
• One bound to rule them all: from Adiabatic to Zeno
• Demonstration of universal control between non-interacting qubits using the Quantum Zeno effect
• Full spectrum of the Liouvillian of open dissipative quantum systems in the Zeno limit
• Quantum Zeno effect for open quantum systems
• Eternal Adiabaticity
• Unification of Random Dynamical Decoupling and the Quantum Zeno Effect
• Quantum Zeno effect generalized
• Optimal Zeno Dragging for Quantum Control: A Shortcut to Zeno with Action-based Scheduling Optimization
• Optimal convergence rate in the quantum Zeno effect for open quantum systems in infinite dimensions
• Generalized quantum Zeno dynamics and ergodic means
• Energy fluctuation relations and repeated quantum measurements
• On Strong Bounds for Trotter and Zeno Product Formulas with Bosonic Applications
• Quantum control for the Zeno effect with noise
• Kick and fix: the roots of quantum control
• Bath Dynamical Decoupling with a Quantum Channel
• Interradical motion can push magnetosensing precision towards quantum limits
• Efficient Auxiliary-Field Quantum Monte Carlo using Isometric Tensor Hypercontraction