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Design and Implementation of Quantum Logic Gates with Optimal Control on the NMR Platform

Khaleghian, Ebrahim | 2024

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 57332 (04)
  4. University: Sharif University of Technology
  5. Department: Physics
  6. Advisor(s): Bahrampour, Alireza; Nikaeen, Morteza
  7. Abstract:
  8. Developing a quantum computer, from the implementation, control, and measurement of qubits at the hardware level to the execution of algorithms at the highest level, presents challenges across various fields of science and engineering. One of the critical issues in quantum layer overlap, control, and measurement is the optimal process for implementing any desired transformation of the qubits. Nuclear Magnetic Resonance (NMR) technology is one of the available laboratory platforms for building quantum processors. This thesis explores NMR technology, reviewing and understanding methods for implementing quantum computation within this context. We will implement quantum computing in this laboratory setting and simulate related phenomena to deepen our understanding. Quantum logic operations in this platform are performed by applying RF pulses. The amplitude and phase of these pulses, which serve as degrees of freedom, can be controlled to apply any arbitrary operations on the qubits, allowing for the design and implementation of quantum logic gates. Developing methods to find the optimal shape for these pulses is one of the important parts of this thesis and represents a novel research contribution for some parts of that. To achieve optimal control, we can use optimal control methods to determine the pulse shapes. Finally, by utilizing neural networks, we will enhance the optimal control process involved in generating these types of pulses
  9. Keywords:
  10. Nuclear Magnetic Resonance ; Quantum Optimal Control ; Neural Networks ; Quantum Logic Gates ; Gate Fidelity ; Quantum Computer

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