Arbitrarily accurate passband composite pulses for dynamical suppression of amplitude noise

Abstract

We introduce flexible high-fidelity passband (PB) composite pulse sequences constructed by concatenation of recently derived arbitrarily large and arbitrarily accurate broadband $\mathcal{B}$ and narrowband $\mathcal{N}$ composite sequences. Our PB sequences allow to produce flexible and tunable nearly rectangular two-state inversion profiles as a function of the individual pulse area because the width and the rectangularity of these profiles can be adjusted at will. Moreover, these PB sequences suppress excitation around pulse area $0$ and $2\pi$, and suppress deviations from complete population inversion around pulse area $\pi$ to arbitrarily high orders. These features makes them a valuable tool for high-fidelity qubit operations in the presence of relatively strong amplitude noise. We construct two types of PB pulses: $\mathcal{N}(\mathcal{B})$ in which a broadband pulse is nested into a narrowband pulse, and $\mathcal{B}(\mathcal{N})$ in which a narrowband pulse is nested into a broadband pulse; the latter sequences deliver narrower profiles. We derive exact analytic formulas for the composite phases of the PB pulses and exact analytic formulas for the inversion profiles. These formulas allow an easy estimation of the experimental resources needed for any desired qubit inversion profile.

7 pages, 5 figures

References in corpus (6)

• Quantum computing with trapped ions
• Tackling Systematic Errors in Quantum Logic Gates with Composite Rotations
• Composite-pulse magnetometry with a solid-state quantum sensor
• Dynamical suppression of unwanted transition paths in multistate quantum systems
• Further analysis of some symmetric and antisymmetric composite pulses for tackling pulse strength errors
• Nested composite NOT gates for quantum computation

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• Multiple resonant manipulation of qubits by train of pulses