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Investigating the Entanglement Dynamics of a Two-Qubit Quantum System

ФИО студента: Kuznetsov Sergey

Руководитель: Elena R. Loubenets

Кампус/факультет: HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE)

Программа: Applied Mathematics (Bachelor)

Год защиты: 2021

Quantum entanglement dynamics has gained an extensive scientific attention in recent years since it plays a significant role in applicability of up-to-date quantum developments in physical and engineering implementations. This paper focuses on a theoretical entanglement exploration for the case of the unitary evolution of bipartite quantum states. Also, it has the exploration supported with creating a universal, in terms of considered interaction Hamiltonian types, program tool which is able to obtain numerically an entanglement dependency on time. The performed theoretical investigation reveals a pure states entanglement time evolution under the Ising interaction between qubits and provides approaches to verify correctness of the created program code which comes across as being useful when carrying out quantum gates design problems and exploring applicability of quantum algorithms for two-qubit systems within various environments and on the base of different physical models.

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