Abstract
Superconducting flux qubits with three Josephson junctions arepromising candidates for the building blocks of a quantum computer. Wehave applied the imaginary time evolution method to study the model ofthis qubit accurately by calculating its wavefunctions andeigenenergies. Because such qubits are manipulated with magnetic fluxmicrowave pulses, they might be irradiated into non-computationalstates, which is called the leakage effect. By the evolution of thedensity matrix of the qubit under either hard-shaped π-pulse orGaussian-shaped π-pulse to carry out quantum NOT operation, it has beendemonstrated that the leakage effect for a flux qubit is very smalleven for hard-shaped microwave pulses while Gaussian-shaped pulses maysuppress the leakage effect to a negligible level.
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