Direct Experimental Simulation of the Yang-Baxter Equation

Abstract

Introduced in the field of many-body statistical mechanics, Yang-Baxter equation has become an important tool in a variety 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.

7 pages. 6 figures

References in corpus (12)

• Non-Abelian Anyons and Topological Quantum Computation
• Review article: Linear optical quantum computing
• Spin-Imbalance in a One-Dimensional Fermi Gas
• Interacting anyons in topological quantum liquids: The golden chain
• Experimental demonstration of topological error correction
• Braiding Operators are Universal Quantum Gates
• Braiding transformation, entanglement swapping and Berry phase in entanglement space
• Optical Simulation of Yang-Baxter Equation
• Wavefunctions for topological quantum registers
• Skein Theory and Topological Quantum Registers: Braiding Matrices and Topological Entanglement Entropy of Non-Abelian Quantum Hall States
• Exact solution of the anisotropic special transition in the O(n) model in 2D
• Quantum Gates Between Flying Qubits via Spin-Independent Scattering

Cited by in corpus (6)

• Yang-Baxter integrable models in experiments: from condensed matter to ultracold atoms
• Algebraic Bethe Circuits
• Experimental realization of the Yang-Baxter Equation via NMR interferometry
• Qutrit Circuits and Algebraic Relations: A Pathway to Efficient Spin-1 Hamiltonian Simulation
• Topological Basis Associated with B-M-W algebra: Two Spin-1/2 Realization
• Optimal realization of Yang-Baxter gate on quantum computers