Direct experimental simulation of the Yang–Baxter equation

2013/05/24 by Chao Zheng, Junlin Li, Jun-lin Li +3
Computer Science · Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Quantum Information and Cryptography #Quantum and electron transport phenomena #quant-ph

paper · pdf · doi:10.1364/josab.30.001688

published as JOSA B, Vol. 30, Issue 6, pp. 1688-1693 (2013) · 7 pages. 6 figures

openalex publication_date 2013/05/24 · arxiv created 2013/05/27 · arxiv updated 2013/05/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

Having been introduced in the field of many bodies of statistical mechanics, the Yang–Baxter equation has become an important tool in a variety of fields of physics. In this work, we report the first direct experimental simulation of the Yang–Baxter equation using linear quantum optics. The equality between the two sides of the Yang–Baxter equation in two dimension has been demonstrated directly, and the spectral parameter transformation in the Yang–Baxter equation is explicitly confirmed.

Citations

• Skein theory and topological quantum registers: Braiding matrices and topological entanglement entropy of non-Abelian quantum Hall states
• Fault-tolerant quantum computation by anyons
• Non-Abelian Anyons and Topological Quantum Computation
• Unitary Solutions to the Yang-Baxter Equation in Dimension Four
• Quantum Gates Between Flying Qubits via Spin-Independent Scattering