TY - JOUR

T1 - Mathematics as an engine for computational sciences

AU - Дегтярев, Александр Борисович

AU - Богданов, Александр Владимирович

AU - Мареев, Владимир Владимирович

PY - 2024/6/1

Y1 - 2024/6/1

N2 - Abstract: The situation with the success of quantum computers is analyzed and a conclusion is made about the need to develop quantum computing regardless of the development of the corresponding computing base. Particularly highlighted is the role of new mathematics associated with functional integrals as a means for quantum computing. The problems of the Feynman formulation are described and it is shown how to construct an approach that allows the generation of quantum algorithms. The prospects for this approach for creating a qualitative theory of partial differential equations are indicated.

AB - Abstract: The situation with the success of quantum computers is analyzed and a conclusion is made about the need to develop quantum computing regardless of the development of the corresponding computing base. Particularly highlighted is the role of new mathematics associated with functional integrals as a means for quantum computing. The problems of the Feynman formulation are described and it is shown how to construct an approach that allows the generation of quantum algorithms. The prospects for this approach for creating a qualitative theory of partial differential equations are indicated.

UR - https://www.mendeley.com/catalogue/aac090f5-f4a7-3c59-b4d7-23b2e9a8842b/

U2 - 10.1134/s1063779624030183

DO - 10.1134/s1063779624030183

M3 - Article

VL - 55

SP - 326

EP - 328

JO - Physics of Particles and Nuclei

JF - Physics of Particles and Nuclei

SN - 1063-7796

IS - 3

ER -