Benchmarking of Optimal Control Theory Techniques

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Taherpour, Saba | 2023

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 56305 (04)
University: Sharif University of Technology
Department: Physics
Advisor(s): Raeisi, Sadegh; Baghram, Shant
Abstract:
There are different approaches for implementing quantum gates as the main elements of quantum computers. In this thesis, we use the quantum optimal control approach to implement quantum gates. For this purpose, we use the two common methods of optimization, Krotov and second-order GRAPE of L-BFGS-B type to implement gates. First, we implement three gates X, CNOT and TOffoli, using both methods, and then, in order to compare and benchmark these methods, we also investigate a number of one, two, and three-qubit random gates. It is essential to implement and simulate high-quality gates in the shortest possible time. Therefore, in this thesis, we compare and benchmark the optimization execution time for implementing gates with different numbers of qubits in two methods, GRAPE and Krotov. We also compare which optimization method performs faster as the number of qubits increases. The findings indicated the GRAPE method performs better in the spin system we considered. Compared to the Krotov, this method implements gates with different dimensions with the same accuracy but in a shorter time. This thesis can be used as a guideline to choose the more efficient technique of optimal control theory
Keywords:
Quantum Optimal Control ; Implementing Quantum Gates ; Krotov Method ; GRAPE Method