BN–TH–2001–01 A New Basis For Bethe Vectors Of The Heisenberg Model

We present a detailed construction of a completely symmetric representation of the monodromy matrix by the use of Drinfel’d twists for the rational sl(3) Heisenberg model without refering to the special symmetry of the model. With the help of this representation we are able to resolve the hierarchy of the nested Bethe wavevectors for the sl(3) invariant rational Heisenberg model.

q-Deformed three-level quantum logic

Three-level information plays an important role in the quantum domain. However, q-deformed three-level quantum logic is missing. Here, we address this problem and following Schwinger representation and using q-deformed harmonic oscillators, we construct three-level quantum system (qutrits), as well as one-, two- and three-qutrit q-deformed quantum logic gates. We believe our findings have a potential to contribute to q-deformed quantum science and technology