4 papers
Quantum computation with scattering matrices
G. Giorgadze, R. Tevzadze
We discuss possible applications of the 1-D direct and inverse scattering problem to design of universal quantum gates for quantum computation. The potentials generating some unive…
Atom-Photon Interactions with Respect to Quantum Computation: Three-Level Atom in Two-Mode Field
G. Giorgadze, Z. Melikishvili
In the paper, analysis of a quantum optical system--three-level atom in a quantum electromagnetic field is given. Evolution operators are constructed in closed form.
Universal quantum computing based on monodromy representations
Gia Giorgadze
A model of quantum computing is presented, based on properties of connections with a prescribed monodromy group on holomorphic vector bundles over bases with nontrivial topology. S…
On the Riemann-Hilbert Problems
Gia Giorgadze
We discuss some topological aspects of the Riemann-Hilbert transmission problem and Riemann-Hilbert monodromy problem on Riemann surfaces. In particular, we describe the constructi…