# Lieb-Robinson bounds and the generation of correlations and topological quantum order.

@article{Bravyi2006LiebRobinsonBA, title={Lieb-Robinson bounds and the generation of correlations and topological quantum order.}, author={Sergey Bravyi and Matthew B. Hastings and F. Verstraete}, journal={Physical review letters}, year={2006}, volume={97 5}, pages={ 050401 } }

The Lieb-Robinson bound states that local Hamiltonian evolution in nonrelativistic quantum mechanical theories gives rise to the notion of an effective light cone with exponentially decaying tails. We discuss several consequences of this result in the context of quantum information theory. First, we show that the information that leaks out to spacelike separated regions is negligible and that there is a finite speed at which correlations and entanglement can be distributed. Second, we discuss…

## 381 Citations

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