X-symbols for non-Abelian symmetries in tensor networks
Andreas Weichselbaum
Abstract
This paper introduces a systematic bottom-up approach to deal with general non-abelian symmetries in the pair-wise tensor contraction based on X-symbols. X-symbols are shown to be equivalent to $3n\ensuremath{-}j$ symbols, as they also offer a systematic approach to tackle outer multiplicities.
Topics & Concepts
Homogeneous spaceTensor (intrinsic definition)PhysicsMathematicsTheoretical physicsContraction (grammar)Tensor decompositionComputer scienceAlgebra over a fieldTensor calculusTensor contractionInvariant (physics)Quantum many-body systemsQuantum Information and CryptographyQuantum Computing Algorithms and Architecture