5 papers
Random Walk and Diffusion on a Smash Line Algebra
Demosthenes Ellinas, Ioannis Tsohantjis
Working withing the framework of Hopf algebras, a random walk and the associated diffusion equation are constructed on a space that is algebraically described as the merging of the…
Optical Holonomic Quantum Computation
Demosthenes Ellinas, Jiannis Pachos
Holonomic quantum computation (HQC) is materialized here with quantum optics components. Holonomies are the generalization of the Berry phases to unitary matrices with dimensionali…
Noisy Grover's search algorithm
Demosthenes Ellinas, Christos Konstadakis
External environment influences on Grover's search algorithm modeled by quantum noise are investigated. The algorithm is shown to be robust under that external dissipation. Explici…
Quantum nonlinear lattices and coherent state vectors
Demosthenes Ellinas, Magnus Johansson, Peter L Christiansen
Quantized nonlinear lattice models are considered for two different classes, boson and fermionic ones. The quantum discrete nonlinear Schroedinger model (DNLS) is our main objectiv…
SU(2) Action-Angle Variables
Demosthenes Ellinas
Operator angle-action variables are studied in the frame of the SU(2) algebra, and their eigenstates and coherent states are discussed. The quantum mechanical addition of action-an…