Holonomic swap and controlled-swap gates of neutral atoms via selective Rydberg pumping

TL;DR

This paper presents a fast, robust method for implementing holonomic swap and controlled-swap gates in neutral atoms using selective Rydberg pumping, enhancing speed and reducing decoherence in quantum computing.

Contribution

It introduces a novel scheme employing time-dependent soft control for rapid holonomic gates and extends it to three-qubit controlled-swap gates in neutral atom systems.

Findings

Accelerates gate synthesis compared to traditional methods.

Reduces decoherence effects through soft control techniques.

Enables implementation of multi-qubit gates for quantum algorithms.

Abstract

Holonomic quantum computing offers a promising paradigm for quantum computation due to its error resistance and the ability to perform universal quantum computations. Here, we propose a scheme for the rapid implementation of a holonomic swap gate in neutral atomic systems, based on the selective Rydberg pumping mechanism. By employing time-dependent soft control, we effectively mitigate the impact of off-resonant terms even at higher driving intensities compared to time-independent driving. This approach accelerates the synthesis of logic gates and passively reduces the decoherence effects. Furthermore, by introducing an additional atom and applying the appropriate driving field, our scheme can be directly extended to implement a three-qubit controlled-swap gate. This advancement makes it a valuable tool for quantum state preparation, quantum switches, and a variational quantum algorithm in neutral atom systems.