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

摘要: 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 this result context information theory. First, we show leaks out spacelike separated regions is negligible and there a finite speed at which correlations entanglement can be distributed. Second, how these ideas used prove lower bounds on time it takes convert without topological order property. Finally, rate entropy created block spins scales like boundary block.