Quantum computation with surface-state electrons by rapid population passages

TL;DR

This paper proposes a method for quantum computation using surface-state electrons on liquid helium, enabling deterministic population transfers through duration-insensitive manipulations, simplifying control requirements.

Contribution

It introduces a novel approach for quantum state control that does not depend on precise timing, applicable to surface electrons and potentially other quantum systems.

Findings

Deterministic population transfer achieved both adiabatically and non-adiabatically.

Method reduces the need for precise pulse duration control.

Applicable to surface-state electrons and other controllable quantum systems.

Abstract

Quantum computation requires coherently controlling the evolutions of qubits. Usually, these manipulations are implemented by precisely designing the durations (such as the $\pi$-pulses) of the Rabi oscillations and tunable interbit coupling. Relaxing this requirement, here we show that the desired population transfers between the logic states can be deterministically realized (and thus quantum computation could be implemented) both adiabatically and non-adiabatically, by performing the duration-insensitive quantum manipulations. Our proposal is specifically demonstrated with the surface-state of electrons floating on the liquid helium, but could also be applied to the other artificially controllable systems for quantum computing.