Entanglement entropy and the simulation of Quantum Mechanics
Abstract
Description
The relation between entanglement entropy and the computational difficulty of classically simulating Quantum Mechanics is briefly reviewed. Matrix product states are proven to provide an efficient representation of one-dimensional quantum systems. Further applications of the techniques based on matrix product states, some of their spin-off and their recent generalizations to scale invariant theories and higher dimensions systems are also discussed.
9 pages. Contribution to the Proceedings of the IRGAC conference held at Barcelona, July 2006
9 pages. Contribution to the Proceedings of the IRGAC conference held at Barcelona, July 2006