Optimal preparation of superconducting gmon qubits
Research Mentor(s)
Rahmani, Armin
Description
Great strides have recently been made in developing stable and coherent quantum systems. One such system is the superconducting gmon qubit architecture developed by Martinis et. al [1]. Martinis et. al presents a simple coherent system with highly tuneable qubit-qubit couplings, making it a great candidate for use in quantum computing. Of specific interest to the field of quantum computing is the controlled evolution of these qubit systems to process information. To achieve this type of evolution we worked within the gmon qubit architecture and found optimal solutions for evolving a three qubit system from an easily achieved product state to a more difficult to achieve maximally entangled state. These solutions were found using a simulated annealing algorithm that minimized the error between the maximally entangled state and the final state of the system with respect to the protocols of the coupling parameters that compose the Hamiltonian of the system. These protocols, confirmed using Pontryagin's minimum principle, turned out to be simple bang-bang protocols that greatly shortcut adiabatic evolution and offer a structure that can be used to help employ quantum gates or regulate the energy of a quantum computer.
Document Type
Event
Start Date
17-5-2018 12:00 AM
End Date
17-5-2018 12:00 AM
Department
Physics/Astronomy
Genre/Form
student projects, posters
Subjects – Topical (LCSH)
Quantum computing; Artificial intelligence; Quantum logic
Type
Image
Rights
Copying of this document in whole or in part is allowable only for scholarly purposes. It is understood, however, that any copying or publication of this document for commercial purposes, or for financial gain, shall not be allowed without the author’s written permission.
Language
English
Format
application/pdf
Optimal preparation of superconducting gmon qubits
Great strides have recently been made in developing stable and coherent quantum systems. One such system is the superconducting gmon qubit architecture developed by Martinis et. al [1]. Martinis et. al presents a simple coherent system with highly tuneable qubit-qubit couplings, making it a great candidate for use in quantum computing. Of specific interest to the field of quantum computing is the controlled evolution of these qubit systems to process information. To achieve this type of evolution we worked within the gmon qubit architecture and found optimal solutions for evolving a three qubit system from an easily achieved product state to a more difficult to achieve maximally entangled state. These solutions were found using a simulated annealing algorithm that minimized the error between the maximally entangled state and the final state of the system with respect to the protocols of the coupling parameters that compose the Hamiltonian of the system. These protocols, confirmed using Pontryagin's minimum principle, turned out to be simple bang-bang protocols that greatly shortcut adiabatic evolution and offer a structure that can be used to help employ quantum gates or regulate the energy of a quantum computer.