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Math for quantum computing / Finite element method for solving boundary value problems

Laboratory of Information Technologies

Joint Laboratory Seminar

Date and Time: Tuesday, 12 May 2026, at 11:00

Venue: room 310, Meshcheryakov Laboratory of Information Technologies, online on MTS Link

  1. Seminar topic: “How math can help quantum computing”

    Speaker: Arsen Khvedelidze

    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 computation. As a rule, the effective implementation of such hybrid schemes requires solving purely mathematical problems in computational algebra and geometry. In this talk, this idea will be demonstrated by two examples. The speaker 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. Seminar topic: “Schemes and programs of the finite element method for solving boundary value problems for models of molecular and nuclear physics”

    Speaker: Alexander Gusev

    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.

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