# Quantum Zeno subspaces.

@article{Facchi2002QuantumZS, title={Quantum Zeno subspaces.}, author={Paolo Facchi and Saverio Pascazio}, journal={Physical review letters}, year={2002}, volume={89 8}, pages={ 080401 } }

The quantum Zeno effect is recast in terms of an adiabatic theorem when the measurement is described as the dynamical coupling to another quantum system that plays the role of apparatus. A few significant examples are proposed and their practical relevance discussed. We also focus on decoherence-free subspaces.

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## References

SHOWING 1-10 OF 22 REFERENCES

Inverse quantum Zeno effect in quantum oscillations

- Physics
- 2002

It is shown that inverse quantum Zeno effect (IZE) could exist in a three-level system with Rabi oscillations between discrete atomic states. An experiment to observe IZE in such a system is proposed.

Chapter 3 Quantum Zeno and inverse quantum Zeno effects

- Physics
- 2001

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…

Irreversibility Questions in Chemistry, Quantum-Counting, and Time-Delay

- 1983

I would like to bring together here three questions, each of independent and fundamental interest, bound together by a common underlying theme: how do we distinguish irreversibility effects in…

Mathematical Foundations of Quantum Mechanics

- Physics
- 1955

Mathematical Foundations of Quantum Mechanics was a revolutionary book that caused a sea change in theoretical physics. Here, John von Neumann, one of the leading mathematicians of the twentieth…

Phys

- (N.Y.) 18, 756
- 1977

Fortschr

- Phys. 49, 1041
- 2001

Phys

- Rev. Lett. 87, 253001
- 2001

Phys

- Rev. Lett. 87, 040402
- 2001

Phys

- Rev. Lett. 86, 4271
- 2001