277 Citations
On Generalized Clifford Algebra C (n) 4 and GLq(2; C) Quantum Group A.K.Kwa´sniewski
- Mathematics
- 2004
Contractions of the irreducible representations of the quantum algebras suq(2) and soq(3)
- Mathematics
- 1992
The contractions of the irreducible representations of the unitary quantum algebra suq(2) and the orthogonal quantum algebra soq(3) in the Gel’fand–Tsetlin basis are regarded in detail with the help…
Integrable theories and generalized graded Maillet algebras
- Mathematics
- 2014
We present a general formalism to investigate the integrable properties of a large class of non-ultralocal models which in principle allows the construction of the corresponding lattice versions. Our…
Reflection K-matrices
- Mathematics
- 2006
We investigate the possible regular solutions of the boundary Yang-Baxter equation for the vertex models associated to the D (2) n+1 affine Lie algebra. We have classified them in terms of three…
Yang–Baxterizations, Universal Quantum Gates and Hamiltonians
- Physics, MathematicsQuantum Inf. Process.
- 2005
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…
On $A_{n-1}^{(1)},B_{n}^{(1)}, C_{n}^{(1)}, D_{n}^{(1)},A_{2n}^{(2)}, A_{2n-1}^{(2)}$ and $D_{n+1}^{(2)}$ Reflection $K$-Matrices
- Mathematics
- 2004
We present the classification of the most general regular solutions to the boundary Yang-Baxter equations for vertex models associated with non-exceptional affine Lie algebras. Reduced solutions…
Universal Quantum Gate, Yang-Baxterization and Hamiltonian
- Physics
- 2004
It is fundamental to view unitary braiding operators describing topological entanglements as universal quantum gates for quantum computation. This paper derives a unitary solution of the quantum…