The quantum SPIN chains of Temperley-Lieb type and the topological basis states

DOI10.1007/s11128-013-0542-8zbMath1276.82011OpenAlexW2029656611MaRDI QIDQ370971

Kang Xue, Chengcheng Zhou, Chunfang Sun, Gangcheng Wang, Guijiao Du

Publication date: 20 September 2013

Published in: Quantum Information Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11128-013-0542-8

zbMATH Keywords

Temperley-Lieb algebraquantum spin chaintopological basis states

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Statistical mechanics of magnetic materials (82D40) Quantum coherence, entanglement, quantum correlations (81P40)

Related Items (1)

Topological basis realization associated with spin-1 non-Hermitian XXZ model

Cites Work

• Unnamed Item
• Wavefunctions for topological quantum registers
• Skein theory and topological quantum registers: Braiding matrices and topological entanglement entropy of non-Abelian quantum Hall states
• Berry phase and quantum criticality in Yang-Baxter systems
• A class of interaction-round-a-face models and its equivalence with an ice-type model
• The role of the ℓ₁-norm in quantum information theory and two types of the Yang–Baxter equation
• Non-Abelian anyons and topological quantum computation
• On spin systems related to the Temperley–Lieb algebra
• Global entanglement in multiparticle systems
• Teleportation, braid group and Temperley–Lieb algebra
• Relations between the ‘percolation’ and ‘colouring’ problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the ‘percolation’ problem

This page was built for publication: The quantum SPIN chains of Temperley-Lieb type and the topological basis states