Mathematics of Quantum Computation
Mathematics of Quantum Computation
Quantum Groups
Abstract error groups via Jones unitary braid group representations at q = i
Quantum Information Processing
Entanglement and Berry phase in a 9 × 9 Yang---Baxter system
Quantum Information Processing
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
Tripartite entanglement sudden death in Yang-Baxter systems
Quantum Information Processing
Entanglement and Yangian in a $${V^{\otimes 3}}$$ Yang-Baxter system
Quantum Information Processing
Quantum computing via the Bethe ansatz
Quantum Information Processing
Quantum Information Processing
Dirac's Hamiltonian and Bogoliubov's Hamiltonian as representation of the braid group
Quantum Information Processing
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Recent research suggests that there are natural connections between quantum information theory and the Yang---Baxter equation. In this paper, in terms of the almost-complex structure and with the help of its algebra, we define the Bell matrix to yield all the Greenberger---Horne---Zeilinger (GHZ) states from the product basis, prove it to form a unitary braid representation and presents a new type of solution of the quantum Yang---Baxter equation. We also study Yang---Baxterization, Hamiltonian, projectors, diagonalization, noncommutative geometry, quantum algebra and FRT dual algebra associated with this generalized Bell matrix.