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Bang-Bang Operations from a Geometric Perspective

Mark S. Byrd·Daniel A. Lidar
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Abstract

Strong, fast pulses, called ``bang-bang'' controls can be used to eliminate the effects of system-environment interactions. This method for preventing errors in quantum information processors is treated here in a geometric setting which leads to an intuitive perspective. Using this geometric description, we clarify the notion of group symmetrization as an averaging technique, and provide a geometric picture for evaluating errors due to imperfect bang-bang controls. This will provide additional support for the usefulness of such controls as a means for providing more reliable quantum information processing.

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Mark S. Byrd, Daniel A. Lidar. 2001-10-25. Bang-Bang Operations from a Geometric Perspective. https://arxiv.org/abs/quant-ph/0110121

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