Abstract
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 language | English |
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Article number | 012327 |
Pages (from-to) | 1-4 |
Number of pages | 4 |
Journal | Physical Review A - Atomic, Molecular, and Optical Physics |
Volume | 71 |
Issue number | 1 |
DOIs | |
Publication status | Published - 1 Jan 2005 |
Externally published | Yes |