Analysing Entanglement-based Quantum Cryptography Systems. Quantum Key Distribution (QKD) and Quantum Secret Sharing (QSS) Protocols

Student: Ostrovskiy Vsevolod

Faculty: HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE)

Educational Programme: Applied Mathematics (Bachelor)

Final Grade: 8

Year of Graduation: 2020

In the present paper, we analyze the basic principles of quantum cryptography protocols based on the resource of quantum entanglement, carry out the detailed analytical investigation of the BBM92 quantum key distribution protocol and the quantum secret sharing (QSS) protocol and develop the optimal schemes for simulation of their execution on the quantum software platform QISKit from IBM-Q. The detailed comparative analysis of computational complexity and simulation results on 5-qubit and 15-qubit quantum processors and on the quantum simulator (32 qubits) from IBM-Q is presented. The derived results on simulation of execution of the BBM92 and QSS protocols on the QISKit platform indicate their main advantages and disadvantages and are important for their practical application.

Full text (added May 31, 2020)

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