Troy W. Borneman, David G. Cory
We describe how the transient behavior of a tuned and matched resonator circuit may be integrated into an optimal control theory (OCT) pulse-design algorithm to derive control sequences with limited ringdown that perform a target quantum operation with high fidelity in the presence of resonator distortions of the ideal waveform. Extending the control system model to include a full description of the resonator transfer function allows the use of high quality factor (high-Q) resonators to increase signal-to-noise ratio (SNR) of detection and overall sensitivity without sacrificing the ability to perform a universal set of quantum operations. We provide experimental verification by implementing a robust bandwidth-limited OCT pulse on an inhomogeneously broadened solid-state organic radical spin system. We also generate example pulses that allow universal control of anisotropic-hyperfine coupled electron-nuclear spin systems via electron-only modulation even when the bandwidth of the resonator is significantly smaller than the hyperfine coupling strength. These results demonstrate how limitations imposed by linear response theory may be vastly exceeded when using a sufficiently accurate system model to optimize pulses of high complexity.
View original:
http://arxiv.org/abs/1207.1139
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