2009/03/31 by TAOTAO HU, Taotao HU, GANGCHENG WANG +9
Computer Science · Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Braid #Braid group #Braid theory #Product (mathematics) #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum entanglement #Representation (politics) #Tensor product #Unitary representation #Unitary state #quant-ph
paper · pdf · doi:10.1142/s0129055x09003827
9 pages
arxiv created 2009/04/08 · openalex publication_date 2009/10/01 · arxiv updated 2015/05/13 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In this paper, we present reducible representation of the n 2 braid group representation which is constructed on the tensor product of n-dimensional spaces. Specifically, it is shown that via a combining method, we can construct more n 2 dimensional braiding S-matrices which satisfy the braid relations. By Yang–Baxterization approach, we derive a 9 × 9 unitary [Formula: see text]-matrix according to a 9 × 9 braiding S-matrix we have constructed. The entanglement properties of [Formula: see text]-matrix is investigated, and the arbitrary degree of entanglement for two-qutrit entangled states can be generated via [Formula: see text]-matrix acting on the standard basis.