Analysis of measurement errors for a superconducting phase qubit

Details Analysis of measurement errors for a superconducting phase qubit Analysis of measurement errors for a superconducting phase qubit

2006-07-14

arxiv.org/abs/cond-mat/0607385v1

Phys. Rev. B 74, 214518 (2006)

Physics

Condensed Matter

Superconductivity

14 pages, 14 figures

Scientific paper

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 numerical solution of the time-dependent Schr\"{o}dinger equation.

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