# Localization effects induced by decoherence in superpositions of many-spin quantum states

@article{Alvarez2011LocalizationEI, title={Localization effects induced by decoherence in superpositions of many-spin quantum states}, author={Gonzalo A. Alvarez and Dieter Suter}, journal={Physical Review A}, year={2011}, volume={84}, pages={012320} }

The spurious interaction of quantum systems with their environment known as decoherence leads, as a function of time, to a decay of coherence of superposition states. Since the interactions between system and environment are local, they can also cause a loss of spatial coherence: correlations between spatially distant parts of the system are lost and the equilibrium states can become localized. This effect limits the distance over which quantum information can be transmitted, e.g., along a spin…

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## References

SHOWING 1-10 OF 121 REFERENCES

### NMR quantum simulation of localization effects induced by decoherence.

- PhysicsPhysical review letters
- 2010

In a nuclear spin-based quantum simulator, the localization of the size of spin clusters that are generated by a Hamiltonian driving the transmission of information is investigated, while a variable-strength perturbation counteracts the spreading.

### Decoherence, einselection, and the quantum origins of the classical

- Physics
- 2003

as quantum engineering. In the past two decades it has become increasingly clear that many (perhaps all) of the symptoms of classicality can be induced in quantum systems by their environments. Thus…

### Decoherence in large quantum registers under variable interaction with the environment

- Physics
- 2007

Effective quantum-information processing requires coherent control of large numbers of qubits on a time scale that is short compared to the decoherence time of the system. It is therefore important…

### Decoherence in large NMR quantum registers

- Physics
- 2006

Decoherence causes the decay of the quantum information that is stored in highly correlated states during quantum computation. It is thus a limiting factor for all implementations of a quantum…

### Environmentally induced quantum dynamical phase transition in the spin swapping operation.

- PhysicsThe Journal of chemical physics
- 2006

By solving the many spin dynamics, it is proved that the swapping regime is restricted to DeltaEtau(SE) similar or greater than Planck's, and this critical onset of a phase dominated by the quantum Zeno effect opens up new opportunities for controlling quantum dynamics.

### Numerical analysis of relaxation times of multiple quantum coherences in the system with a large number of spins.

- PhysicsThe Journal of chemical physics
- 2011

It is shown that the relaxation time decreases with the increase in MQ coherence order and in the number of spins, and the influence of the perturbation on the decoherence rate is investigated.

### Environmentally induced effects and dynamical phase transitions in quantum systems

- Physics
- 2010

The dynamics of open quantum systems is determined by singularities in the continuum of scattering wavefunctions which are related to avoided and true crossings of eigenvalue trajectories of a…

### Preserving electron spin coherence in solids by optimal dynamical decoupling

- PhysicsNature
- 2009

Optimal dynamical decoupling may be applied to other solid-state systems, such as diamonds with nitrogen-vacancy centres, and so lay the foundation for quantum coherence control of spins in solids at room temperature.