Demonstration of a non-Abelian geometric controlled-Not gate in a superconducting circuit

TL;DR

This paper demonstrates the first on-chip implementation of a non-Abelian geometric CNOT gate in superconducting circuits, leveraging holonomies for noise-resilient quantum computation.

Contribution

It introduces a novel all-to-all connected superconducting architecture enabling holonomic quantum gates, advancing scalable geometric quantum computing.

Findings

Successful realization of a non-Abelian geometric CNOT gate

Implementation in a multi-qubit superconducting circuit

Potential for noise-resilient scalable quantum computation

Abstract

Holonomies, arising from non-Abelian geometric transformations of quantum states in Hilbert space, offer a promising way for quantum computation. These holonomies are not commutable and thus can be used for the realization of a universal set of quantum logic gates, where the global geometric feature may result in some noise-resilient advantages. Here we report the first on-chip realization of a non-Abelian geometric controlled-Not gate in a superconducting circuit, which is a building block for constructing a holonomic quantum computer. The conditional dynamics is achieved in an all-to-all connected architecture involving multiple frequency-tunable superconducting qubits controllably coupled to a resonator; a holonomic gate between any two qubits can be implemented by tuning their frequencies on resonance with the resonator and applying a two-tone drive to one of them. This gate represents an important step towards the all-geometric realization of scalable quantum computation on a superconducting platform.