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Open Quantum Systems Decoherence
Quantum Simulation
Entanglement Theory Quantum Correlations
Birman-Wenzl-Murakami Algebra and the Topological Basis
arXiv
Authors: Chengcheng Zhou, Kang Xue, Gangcheng Wang, Chunfang Sun, Guijiao Du
Year
2011
Paper ID
29132
Status
Preprint
Abstract Read
~2 min
Abstract Words
68
Citations
N/A
Abstract
In this paper, we use entangled states to construct 9x9-matrix representations of Temperley-Lieb algebra (TLA), then a family of 9x9-matrix representations of Birman-Wenzl-Murakami algebra (BWMA) have been presented. Based on which, three topological basis states have been found. And we apply topological basis states to recast nine-dimensional BWMA into its three-dimensional counterpart. Finally, we find the topological basis states are spin singlet states in special case.
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- In this paper, we use entangled states to construct 9x9-matrix representations of Temperley-Lieb algebra (TLA), then a family of 9x9-matrix representations of...
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