We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Temperley-Lieb algebra, Yang-Baxterization and universal gate.
- Authors
Gangcheng Wang; Kang Xue; Chunfang Sun; Chengcheng Zhou; Taotao Hu; Qingyong Wang
- Abstract
method of constructing n × n matrix realization of Temperley-Lieb algebras is presented. The single loop of these realizations are $${d=\sqrt{n}}$$. In particular, a 9 × 9-matrix realization with single loop $${d=\sqrt{3}}$$ is discussed. A unitary Yang-Baxter $${\breve{R}\theta,q_{1},q_{2})}$$ matrix is obtained via the Yang-Baxterization process. The entanglement properties and geometric properties (i.e., Berry Phase) of this Yang-Baxter system are explored.
- Subjects
YANG-Baxter equation; QUANTUM field theory; MATHEMATICAL physics; ALGEBRA; MATRICES (Mathematics)
- Publication
Quantum Information Processing, 2010, Vol 9, Issue 6, p699
- ISSN
1570-0755
- Publication type
Article
- DOI
10.1007/s11128-009-0159-0