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- Type of Document: M.Sc. Thesis
- Language: Farsi
- Document No: 57376 (05)
- University: Sharif University of Technology
- Department: Electrical Engineering
- Advisor(s): Fardmanesh, Mehdi
- Abstract:
- Quantum computing has advantages over conventional computing in performing algorithms such as factorization and search. Quantum processors are computing units that consist of qubits as basic elements. There are different approaches toward the implementation of the qubits. the most renowned and applicable of these implementations is the superconducting qubits. Among various types of superconducting qubits, charge qubits (specifically transmons) are more popular than others because of their straightforward fabrication methods and better scalability. In this research, the basic concepts such as qubit, quantum gates, Josephson junction, different types of superconducting qubit, and transmon are investigated first. Then these concepts are utilized for the design and simulation of superconducting qubits. Afterward, EPR(Energy Participation Ratio) method which is used to simulate the superconducting qubits circuits, is investigated. Then two important transmon structures are simulated according to this method. Additionally, the effects of geometry parameters of the qubit structure on qubit characteristics such as frequency and anharmonicity are explored. Also, the method for readout of the transmon is investigated, and the fact that the superconducting transmission line can act as a quantum harmonic oscillator is shown. Then the control of the qubit state in the Bloch sphere is explored. Moreover, the single qubit structures based on different structures of transmon with readout and control section are designed and simulated. In addition, due to the Purcell effect, these single qubit structures are designed and simulated again considering the Purcell filter. Afterward, for the multi-qubit quantum systems, the coupling method between two qubits utilizing the superconducting transmission line is investigated. Then the multi-qubit structures based on different structures of the transmon which are coupled with triangle and star methods, are designed and simulated as a purpose of this project. Also, these structures are redesigned and resimulated considering the Purcell filter. In the end, the results of simulations and analysis are summarized in conclusion and several suggestions are presented for future works
- Keywords:
- Josephson Junction ; Superconducting Qubits ; Superconducting Transmission Line ; Purcell Filter ; Transmon Qubit ; Quantum Logic Gates
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