716 citations · 2.4k across the 19 of their papers we have counts for
6 papers · 1 filter
Matrix Product States for dynamical simulation of infinite chains
M. C. Bañuls, M. B. Hastings, F. Verstraete +1
We propose a new method for computing the ground state properties and the time evolution of infinite chains based on a transverse contraction of the tensor network. The method does…
Classical and Quantum Tensor Product Expanders
M. B. Hastings, A. W. Harrow
We introduce the concept of quantum tensor product expanders. These are expanders that act on several copies of a given system, where the Kraus operators are tensor products of the…
Observations Outside the Light-Cone: Algorithms for Non-Equilibrium and Thermal States
M. B. Hastings
We apply algorithms based on Lieb-Robinson bounds to simulate time-dependent and thermal quantities in quantum systems. For time-dependent systems, we modify a previous mapping to…
Random Unitaries Give Quantum Expanders
M. B. Hastings
We show that randomly choosing the matrices in a completely positive map from the unitary group gives a quantum expander. We consider Hermitian and non-Hermitian cases, and we prov…
Area laws in quantum systems: mutual information and correlations
M. M. Wolf, F. Verstraete, M. B. Hastings +1
The holographic principle states that on a fundamental level the information content of a region should depend on its surface area rather than on its volume. This counterintuitive…
Lieb-Robinson bounds and the generation of correlations and topological quantum order
S. Bravyi, M. B. Hastings, F. Verstraete
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 exponentiall…