Analytic control methods for high fidelity unitary operations in a weakly nonlinear oscillator

Details Analytic control methods for high fidelity unitary operations in a weakly nonlinear oscillator Analytic control methods for high fidelity unitary operations in a weakly nonlinear oscillator

2010-11-09

arxiv.org/abs/1011.1949v2

Phys. Rev. A 83, 012308 (2011)

Physics

Quantum Physics

15 pages, 9 figures, small changes

Scientific paper

10.1103/PhysRevA.83.012308

In qubits made from a weakly anharmonic oscillator the leading source of error at short gate times is leakage of population out of the two dimensional Hilbert space that forms the qubit. In this paper we develop a general scheme based on an adiabatic expansion to find pulse shapes that correct this type of error. We find a family of solutions that allows tailoring to what is practical to implement for a specific application. Our result contains and improves the previously developed DRAG technique [F. Motzoi, et. al., Phys. Rev. Lett. 103, 110501 (2009)] and allows a generalization to other non-linear oscillators with more than one leakage transition.

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