Entanglement entropy and the simulation of Quantum Mechanics

Details Entanglement entropy and the simulation of Quantum Mechanics Entanglement entropy and the simulation of Quantum Mechanics

2006-11-28

arxiv.org/abs/quant-ph/0611271v1

J.Phys.A40:6689-6697,2007

Physics

Quantum Physics

9 pages. Contribution to the Proceedings of the IRGAC conference held at Barcelona, July 2006

Scientific paper

10.1088/1751-8113/40/25/S13

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.

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