Unitary Solutions to the Yang–Baxter Equation in Dimension Four
Quantum Information Processing
Yang-Baxterizations, Universal Quantum Gates and Hamiltonians
Quantum Information Processing
GHZ States, Almost-Complex Structure and Yang---Baxter Equation
Quantum Information Processing
Quantum teleportation with non-maximal entangled state
MATH'09 Proceedings of the 14th WSEAS International Conference on Applied mathematics
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In this paper we show another representations of extra-special 2-groups. Based on this new representation, we infer a $${\mathbb{M}}$$ matrix which obeys the extra-special 2-groups algebra relations. We also derive a unitary $${\breve{R}(\theta,\varphi)}$$ matrix from the $${\mathbb{M}}$$ using the Yang-Baxterization process. A Hamiltonian for the two qubits is constructed from the unitary $${\breve{R}(\theta,\varphi)}$$ matrix. In this way, we study the Berry phase and entanglement of the two-qubit system. The results also establish relations between topological and holonomic quantum computation.