Density Matrix Renormalization Group with Tensor Processing Units
Martin Ganahl, Jackson Beall, Markus Hauru, Adam G. M. Lewis, Tomasz Wojno, Jae Hyeon Yoo, Yijian Zou, Guifré Vidal
Abstract
A novel architecture is used to boost the density-matrix renormalization group, an important and widely used algorithm, impressively pushing the boundary of the current state of the art by at least an order of magnitude in complexity.
Topics & Concepts
Density matrix renormalization groupAnsatzMatrix product stateRenormalization groupMatrix multiplicationTensor productHamiltonian (control theory)Tensor (intrinsic definition)ScalingPhysicsIsing modelMathematicsQuantum mechanicsQuantumPure mathematicsGeometryMathematical optimizationQuantum many-body systemsQuantum Computing Algorithms and ArchitecturePhysics of Superconductivity and Magnetism