Analysis of measurement errors for a superconducting phase qubit
Qin Zhang, Abraham G. Kofman, John M. Martinis, Alexander N. Korotkov
DOI 10.1103/PhysRevB.74.214518 · Physical Review B
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Abstract
We analyze several mechanisms leading to errors in a course of measurement of a superconducting flux-biased phase qubit. Insufficiently long measurement pulse may lead to nonadiabatic transitions between qubit states ∣1⟩ and ∣0⟩, before tunneling through a reduced barrier is supposed to distinguish the qubit states. Finite (though large) ratio of tunneling rates for these states leads to incomplete discrimination between ∣1⟩ and ∣0⟩. Insufficiently fast energy relaxation after the tunneling of state ∣1⟩ may cause the repopulation of the quantum well in which only the state ∣0⟩ is supposed to remain. We analyze these types of measurement errors using analytical approaches as well as a numerical solution of the time-dependent Schrödinger equation.
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