GENERALIZED YANG–BAXTER EQUATIONS AND BRAIDING QUANTUM GATES

DOI10.1142/S0218216512500873zbMath1247.81084arXiv1108.5215OpenAlexW2962756189MaRDI QIDQ2890234

Rebecca S. Chen

Publication date: 8 June 2012

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.5215

zbMATH Keywords

Yang-Baxter equationbraid groupgeneralized Yang-Baxter equationbraiding quantum gate

Mathematics Subject Classification ID

Quantum computation (81P68) Braid groups; Artin groups (20F36) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Yang-Baxter equations (16T25)

Related Items (7)

Abelian maps, brace blocks, and solutions to the Yang-Baxter equation ⋮ Qubit representations of the braid groups from generalized Yang-Baxter matrices ⋮ Abelian fixed point free endomorphisms and the Yang-Baxter equation ⋮ Set-theoretic solutions of the Yang-Baxter equation and new classes of \(\mathrm{R}\)-matrices ⋮ FROM RIBBON CATEGORIES TO GENERALIZED YANG–BAXTER OPERATORS AND LINK INVARIANTS (AFTER KITAEV AND WANG) ⋮ INVARIANTS OF LINKS FROM THE GENERALIZED YANG–BAXTER EQUATION ⋮ Local invariants of braiding quantum gates—associated link polynomials and entangling power

Cites Work

• Unitary solutions to the Yang-Baxter equation in dimension four
• Non-Abelian anyons and topological quantum computation
• Solving the two-dimensional constant quantum Yang–Baxter equation

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