Corpus ID: 202540142

# Optimal Measurement Protocols in Quantum Zeno Effect.

@article{Belan2019OptimalMP,
title={Optimal Measurement Protocols in Quantum Zeno Effect.},
author={Sergey Belan and Vladimir M. Parfenyev},
journal={arXiv: Statistical Mechanics},
year={2019}
}
• Published 7 September 2019
• Physics, Mathematics
• arXiv: Statistical Mechanics
The quantum Zeno effect is the prediction, going back to Alan Turing, that the decay of an unstable system can be slowed down by measuring it frequently enough. It was also noticed later that the opposite effect, i.e., enhancement of the decay due to frequent measurements, is rather common. An important question arising in this regards is how to choose the optimal measurement strategy to achieve the highest possible decay rate. Here we rigorously prove the universal optimality of the… Expand
2 Citations

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#### References

SHOWING 1-10 OF 64 REFERENCES
Stochastic Quantum Zeno by Large Deviation Theory
• Physics
• 2015
Quantum measurements are crucial to observe the properties of a quantum system, which however unavoidably perturb its state and dynamics in an irreversible way. Here we study the dynamics of aExpand
Small-time behaviour of quantum nondecay probability and Zeno's paradox in quantum mechanics
• Physics
• 1979
SummaryA detailed investigation of the small-time deviations of the quantum nondecay probability from a pure exponential is made to study their physical consequences. Specific consideration is givenExpand
Analyzing the Quantum Zeno and anti-Zeno effects using optimal projective measurements
• Physics, Medicine
• Scientific Reports
• 2017
This paper finds the projective measurements that minimize the effective decay rate of the quantum state and the corresponding decay rates for a variety of system-environment models such as the pure dephasing model and the spin-boson model. Expand
Quantum walks: The first detected passage time problem.
• Physics, Medicine
• Physical review. E
• 2017
This work examines a closed system, i.e., a ring, and reveals the intricate influence of the sampling time τ on the statistics of detection, discussing the quantum Zeno effect, half dark states, revivals, and optimal detection. Expand
Quantum Zeno effect by general measurements
• Physics
• 2005
It was predicted that frequently repeated measurements on an unstable quantum state may alter the decay rate of the state. This is called the quantum Zeno effect (QZE) or the anti-Zeno effect (AZE),Expand
Acceleration of quantum decay processes by frequent observations
• Physics, Medicine
• Nature
• 2000
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. Expand
Quantum Zeno Dynamics Through Stochastic Protocols
• Physics, Mathematics
• 2016
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 aExpand
A general framework for the Quantum Zeno and anti-Zeno effects
A general treatment of the quantum Zeno and anti-Zeno effects is presented which is valid for an arbitrary system-environment model in the weak system- environment coupling regime and is extended to many two-level systems coupled collectively to the bosonic environment to illustrate the importance of the correct evaluation of the effective decay rate. Expand
Quantum Zeno dynamics: mathematical and physical aspects
• Physics, Mathematics
• 2008
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 broaderExpand
Criterion for quantum Zeno and anti-Zeno effects
• Physics, Mathematics
• Physical Review A
• 2018
In this work, we study the decay behavior of a two-level system under the competing influence of a dissipative environment and repetitive measurements. The sign of the second derivative of theExpand