Yang-Baxter \breveR matrix, Entanglement and Yangian

2010/12/07 by Gangcheng Wang, Wang, Gangcheng, Kang Xue +5
Computer Science · Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Information and Cryptography #Quantum Physics (quant-ph)

paper · pdf · doi:10.48550/arxiv.1012.1519

openalex publication_date 2010/12/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a method to construct "X" form unitary Yang-Baxter \breveR matrices, which act on the tensor product space V_i^j₁⊗ V_i+1^j₂. We can obtain a set of entangled states for (2j₁+1)× (2j₂+1)-dimensional system with these Yang-Baxter \breveR matrices. By means of Yang-Baxter approach, a 8× 8 Yang-Baxter Hamiltonian is constructed. Yangian symmetry and Yangian generators as shift operators for this Yang-Baxter system are investigated in detail.

Citations

• Entanglement of Formation of an Arbitrary State of Two Qubits

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