Adding one or two linear constraints on the Fourier coefficients of an amplitude-modulated Mølmer-Sørensen pulse improves the leading-order gate-timing error from O(Δt²) to O(Δt⁶) or O(Δt¹⁰) with vanishing power overhead.
Amplitude-noise-resilient entangling gates for trapped ions
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abstract
Noise resilience of quantum information processing is a crucial precondition to reach the fault-tolerance threshold. While resilience to many types of noise can be achieved through suitable control schemes, resilience to amplitude noise seems to be elusive within the common harmonic approximation for the bus mode of trapped ions. We show that weak an-harmonicities admit control schemes that achieve amplitude noise-resilience consistent with state-of-the-art experimental requirements, and that the required an-harmonicities can be achieved with current standards of micro-structured traps or even the intrinsically an-harmonic Coulomb interaction. This approach applies broadly to any platform that employs a bosonic bus as a qubit coupler.
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Power-optimized amplitude modulation for robust trapped-ion entangling gates: a study of gate-timing errors
Adding one or two linear constraints on the Fourier coefficients of an amplitude-modulated Mølmer-Sørensen pulse improves the leading-order gate-timing error from O(Δt²) to O(Δt⁶) or O(Δt¹⁰) with vanishing power overhead.