Designing Robust Unitary Gates: Application to Concatenated Composite Pulse
arXiv:1105.0744 · doi:10.1103/PhysRevA.84.062311
Abstract
We propose a simple formalism to design unitary gates robust against given systematic errors. This formalism generalizes our previous observation [Y. Kondo and M. Bando, J. Phys. Soc. Jpn. 80, 054002 (2011)] that vanishing dynamical phase in some composite gates is essential to suppress amplitude errors. By employing our formalism, we naturally derive a new composite unitary gate which can be seen as a concatenation of two known composite unitary operations. The obtained unitary gate has high fidelity over a wider range of the error strengths compared to existing composite gates.
7 pages, 4 figures. Major revision: improved presentation in Sec. 3, references and appendix added
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- Further analysis of some symmetric and antisymmetric composite pulses for tackling pulse strength errors
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- Supervised learning for robust quantum control in composite-pulse systems
- Composite pulses for high fidelity population transfer in three-level systems
- Minimal and Robust Composite Two-Qubit Gates with Ising-Type Interaction
- Concatenated Composite Pulses Applied to Liquid-State Nuclear Magnetic Resonance Spectroscopy
- Three-state coherent control using narrowband and passband sequences
- A spinless spin qubit
- Robust transitionless quantum driving: Concatenated approach
- Construction of Arbitrary Robust One-Qubit Operations Using Planar Geometry