Matrix product states and projected entangled pair states: Concepts, symmetries, theorems
J. I. Cirac, David Pérez-Garcı́a, Norbert Schuch, Frank Verstraete
Abstract
Many-body wave functions can be described effectively by local tensors in matrix product states and projected entangled pair states. This article reviews how these theories provide not only numerical methods but also insights of a more fundamental nature into the structures of states with global entanglement patterns and topological quantum order.
Topics & Concepts
PhysicsQuantum entanglementTheoretical physicsMatrix multiplicationTensor productHomogeneous spaceSeparable stateCluster stateSquashed entanglementProduct (mathematics)Quantum mechanicsTopology (electrical circuits)QuantumPure mathematicsQuantum discordMathematicsCombinatoricsGeometryQuantum many-body systemsQuantum, superfluid, helium dynamicsQuantum Information and Cryptography