New series of multi-parametric solutions to GYBE: Quantum gates and integrability

Braiding quantum gates from partition algebras

(2020) Pramod Padmanabhan et al.   Quantum

Series of the solutions to Yang–Baxter equations: Hecke type matrices and descendant R-, L-operators

(2018) Shahane A. Khachatryan   NUCLEAR PHYSICS B

ℓ1-norm and entanglement in screening out braiding from Yang–Baxter equation associated with Z3 parafermion

(2017) Li-Wei Yu et al.   PHYSICS LETTERS A

On the solutions to the multi-parametric Yang–Baxter equations

(2014) Shahane Khachatryan   NUCLEAR PHYSICS B

Generalized and Quasi-Localizations of Braid Group Representations

(2013) César Galindo et al.   INTERNATIONAL MATHEMATICS RESEARCH NOTICES

INVARIANTS OF LINKS FROM THE GENERALIZED YANG–BAXTER EQUATION

(2013) SEUNG-MOON HONG   JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS

GENERALIZED YANG–BAXTER EQUATIONS AND BRAIDING QUANTUM GATES

(2012) REBECCA S. CHEN   JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS

On the Solutions of the Yang-Baxter Equations with General Inhomogeneous Eight-Vertex R-Matrix: Relations with Zamolodchikov’s Tetrahedral Algebra

(2012) S. Khachatryan et al.   JOURNAL OF STATISTICAL PHYSICS

New solutions to the -invariant Yang–Baxter equations at roots of unity: Cyclic representations

(2012) D. Karakhanyan et al.   NUCLEAR PHYSICS B

Quantum Phase Transition Like Phenomenon in a Two-Qubit Yang-Baxter System

(2010) Gangcheng Wang et al.   INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS

Characteristics of two-dimensional lattice models from a fermionic realization: Ising andXYZmodels

(2009) Sh. Khachatryan et al.   PHYSICAL REVIEW B

Berry phase and quantum criticality in Yang–Baxter systems

(2008) Jing-Ling Chen et al.   ANNALS OF PHYSICS

Solutions to the Yang–Baxter equations with symmetry: Lax operators

(2008) D. Karakhanyan et al.   NUCLEAR PHYSICS B

Non-Abelian anyons and topological quantum computation

(2008) Chetan Nayak et al.   REVIEWS OF MODERN PHYSICS

Fault-Tolerant Quantum Computation with Constant Error Rate

(2008) Dorit Aharonov et al.   SIAM JOURNAL ON COMPUTING