Sixth-order robust gates for quantum control

D. Mc Hugh*, J. Twamley

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)


Composite pulse sequences designed for nuclear magnetic resonance experiments are currently being applied in many quantum information processing technologies. We present an analysis of a family of composite pulse sequences used to address systematic pulse-length errors in the execution of quantum gates. It has been demonstrated by Cummins et al. [Phys. Rev. A 67, 042308 (2003)] that for this family of composite pulse sequences, the fidelity of the resulting unitary operation compared with the ideal unitary operation is 1-Cε 6, where ε is the fractional error in the length of the pulse. We derive an exact expression for the sixth-order coefficient C and from this deduce conditions under which this sixth-order dependence is observed. We also present pulse sequences which achieve the same fidelity.

Original languageEnglish
Article number012327
Pages (from-to)1-4
Number of pages4
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Issue number1
Publication statusPublished - 1 Jan 2005
Externally publishedYes


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