Correction of Arbitrary Errors in Population Inversion of Quantum Systems by Universal Composite Pulses

Abstract

We introduce universal broadband composite pulse sequences for robust high-fidelity population inversion in two-state quantum systems, which compensate deviations in any experimental parameter (e.g. pulse amplitude, pulse duration, detuning from resonance, Stark shifts, unwanted frequency chirp, etc.) and are applicable with any pulse shape. We demonstrate the efficiency and universality of these composite pulses by experimental data on rephasing of atomic coherences in a ${\text{Pr}}^{3+}\text{:}{\text{Y}}_2{\text{SiO}}_5$ crystal.

References in corpus (4)

• Realization of the quantum Toffoli gate with trapped ions
• Robust CNOT gates from almost any interaction
• Trapped Ion Chain as a Neural Network: Error Resistant Quantum Computation
• Adiabatic Passage and Spin Locking in Tm${}^{3+}$:YAG

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• High-fidelity error-resilient composite phase gates
• Robust stimulated Raman exact passage using shaped pulses
• Robust control of a NOT gate by composite pulses
• Precise pulse shaping for quantum control of strong optical transitions
• Narrowband and passband composite pulses for variable rotations
• Universal Composite Pulses for Efficient Population Inversion with an Arbitrary Excitation Profile
• Rephasing efficiency of sequences of phased pulses in spin-echo and light-storage experiments