Mathematics of Quantum Computation
Mathematics of Quantum Computation
Unitary Solutions to the Yang–Baxter Equation in Dimension Four
Quantum Information Processing
Approximate Counting and Quantum Computation
Combinatorics, Probability and Computing
Quantum Computation and Quantum Information: 10th Anniversary Edition
Quantum Computation and Quantum Information: 10th Anniversary Edition
Topological-Like Features in Diagrammatical Quantum Circuits
Quantum Information Processing
Universal Quantum Gates Via Yang-Baxterization of Dihedral Quantum Double
ICANNGA '07 Proceedings of the 8th international conference on Adaptive and Natural Computing Algorithms, Part I
The sudden death of entanglement in constructed Yang---Baxter systems
Quantum Information Processing
Temperley---Lieb algebra, Yang-Baxterization and universal gate
Quantum Information Processing
Extraspecial two-groups, generalized yang-baxter equations and braiding quantum gates
Quantum Information & Computation
Quantum computing via the Bethe ansatz
Quantum Information Processing
Gravitational topological quantum computation
UC'07 Proceedings of the 6th international conference on Unconventional Computation
Yang-Baxter $${\breve R}$$ matrix, entanglement and Yangian
Quantum Information Processing
Quantum Information Processing
Integrable quantum computation
Quantum Information Processing
Dirac's Hamiltonian and Bogoliubov's Hamiltonian as representation of the braid group
Quantum Information Processing
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The unitary braiding operators describing topological entanglements can be viewed as universal quantum gates for quantum computation. With the help of the Brylinski's theorem, the unitary solutions of the quantum Yang---Baxter equation can be also related to universal quantum gates. This paper derives the unitary solutions of the quantum Yang---Baxter equation via Yang---Baxterization from the solutions of the braid relation. We study Yang---Baxterizations of the non-standard and standard representations of the six-vertex model and the complete solutions of the non-vanishing eight-vertex model. We construct Hamiltonians responsible for the time-evolution of the unitary braiding operators which lead to the Schrödinger equations.