Seminar

Seminar program:

1. Arsen Khvedelidze

   How Math Can Help Quantum Computing

   Abstract:

   Most leading-edge research in quantum computing uses a hybrid approach where quantum processors handle specific complex bottlenecks, while classical supercomputers manage the rest of the computa-tion. As a rule, the effective implementation of such hybrid schemes requires solving purely mathe-matical problems in computational algebra and geometry. In this talk, this idea will be demonstrated by two examples. I will analyse the impact of the choice of adaptive factorisation of the elements of the SU(2) and SU(4) unitary groups on the accuracy of a single qubit gate and on the construction of optimised parametric circuits which allow us to effectively encode the resource of entanglement.

2. Alexander Gusev

   Schemes and programs of the finite element method for solving boundary value problems for models of molecular and nuclear physics

   Abstract:

   Schemes and programs of high-order finite element method (FEM) of a high order of accuracy for solving the multichannel scattering problem and the metastable state problem for a system of second-order ODEs with real and complex potentials and different numbers of open channels in two asymptotic regions are developed. With their help, metastable states of beryllium dimer were calculated for the first time and models of heavy ion fusion reactions were investigated.
   Computational schemes and programs of the FEM for solving elliptic multi-dimensional boundary value problems on hyperparallelepipedal grids, aimed at studying collective models of atomic nuclei are being developed.

Information about the seminar at Indico.

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