Unification of dynamical decoupling and the quantum Zeno effect (6 pages)

  title={Unification of dynamical decoupling and the quantum Zeno effect (6 pages)},
  author={Paolo Facchi and Daniel A. Lidar and Saverio Pascazio},
  journal={Physical Review A},
Chemical Physics Theory Group, Chemistry Department, University of Toronto,80 St. George Street, Toronto, Ontario M5S 3H6, Canada(Dated: February 1, 2008)We unify the quantum Zeno effect (QZE) and the “bang-bang” (BB) decoupling method for sup-pressing decoherence in open quantum systems: in both cases strong coupling to an external systemor apparatus induces a dynamical superselection rule that partitions the open system’s Hilbert spaceinto quantum Zeno subspaces. Our unification makes use of… 
Quantum Zeno Dynamics Through Stochastic Protocols
Quantum measurements play a crucial role in quantum mechanics since they perturb, unavoidably and irreversibly, the state of the measured quantum system. More extremely, the constant observation of a
Quantum Zeno dynamics: mathematical and physical aspects
If frequent measurements ascertain whether a quantum system is still in its initial state, transitions to other states are hindered and the quantum Zeno effect takes place. However, in its broader
Advanced dynamical decoupling strategies for simulating Hamiltonian interactions
In the field of quantum information, a major challenge is to protect and shield quantum systems from environmental influences, which cause dissipation and decoherence. One approach to address this
Non-Markovian Quantum Error Deterrence by Dynamical Decoupling in a General Environment
It is shown that the dynamical decoupling method can suppress 1/f noise with slower and hence more accessible pulses than previously studied, but it still fails to decouple super-Ohmic types of environments.
Analysis of the quantum Zeno effect for quantum control and computation
Within quantum information, many methods have been proposed to avoid or correct the deleterious effects of the environment on a system of interest. In this work, expanding on our earlier paper
Optimal convergence rate in the quantum Zeno effect for open quantum systems in infinite dimensions
In open quantum systems, the quantum Zeno effect consists in frequent applications of a given quantum operation, e.g. a measurement, used to restrict the time evolution (due e.g. to decoherence) to
Dynamical control of qubit coherence: Random versus deterministic schemes (20 pages)
We reexamine the problem of switching off unwanted phase evolution and decoherence in a single two-state quantum system in the light of recent results on random dynamical decoupling methods [L. Viola
Quantum Zeno dynamics of a field in a cavity
We analyze the quantum Zeno dynamics that takes place when a field stored in a cavity undergoes frequent interactions with atoms. We show that repeated measurements or unitary operations performed on
Dynamical decoupling efficiency versus quantum non-Markovianity
We investigate the relationship between non-Markovianity and the effectiveness of a dynamical decoupling protocol for qubits undergoing pure dephasing. We consider an exact model in which dephasing
Generalized quantum Zeno dynamics and ergodic means
We prove the existence of uniform limits for certain sequences of products of contractions and elements of a family of uniformly continuous propagators acting on a Hilbert or a Banach space. From the


Quantum anti-Zeno effect
Prevention of a quantum system's time evolution by repetitive, frequent measurements of the system's state has been called the quantum Zeno effect (or paradox). Here we investigate theoretically and
Chapter 3 Quantum Zeno and inverse quantum Zeno effects
This chapter discusses the quantum Zeno and inverse quantum Zeno effects. The quantum Zeno effect is a consequence of the new dynamical features introduced by a series of measurement processes. In
Acceleration of quantum decay processes by frequent observations
It is shown that the quantum Zeno effect is fundamentally unattainable in radiative or radioactive decay (because the required measurement rates would cause the system to disintegrate), but also that these processes may be accelerated by frequent measurements.
A Conceptual Analysis of Quantum Zeno; Paradox, Measurement, and Experiment
Abstract Arguments on controversial points concerning quantum measurement theory and the quantum Zeno effect are presented. In particular it is argued that (1) the quantum Zeno effect is a genuine
Zeno's paradox in quantum theory
A quantum-theoretic expression is sought for the probability that an unstable particle prepared initially in a well-defined state will be found to decay sometime during a given interval. It is argued
We propose a novel dynamical method for beating decoherence and dissipation in open quantum systems. We demonstrate the possibility of filtering out the effects of unwanted (not necessarily known)
Quantum Zeno effect.
The quantum Zero effect is the inhibition of transitions between quantum states by frequent measurements of the state by means of pulses of light in an rf transition between two ground-state hyperfine levels.
Quantum Zeno and anti-Zeno effects by indirect measurement with finite errors
We study the quantum Zeno effect and the anti-Zeno effect in the case of 'indirect' measurements, where a measuring apparatus does not act directly on an unstable system, for a realistic model with
The dynamics of a decohering two-level system driven by a suitable control Hamiltonian is studied. The control procedure is implemented as a sequence of radio-frequency pulses that repetitively flip