Geometric quantum gates with superconducting qubits

TL;DR

This paper proposes a feasible scheme for implementing universal non-Abelian geometric quantum gates using superconducting transmon qubits, leveraging adiabatic evolution and effective tripod Hamiltonian for robust quantum computation.

Contribution

It introduces a novel method to realize geometric quantum gates with superconducting qubits through adiabatic control and longitudinal driving, advancing practical quantum computing techniques.

Findings

Scheme is experimentally feasible with current technology

Enables implementation of a universal set of geometric quantum gates

Provides a pathway for proof-of-principle geometric quantum computing

Abstract

We suggest a scheme to implement a universal set of non-Abelian geometric transformations for a single logical qubit composed of three superconducting transmon qubits coupled to a single cavity. The scheme utilizes an adiabatic evolution in a rotating frame induced by the effective tripod Hamiltonian which is achieved by longitudinal driving of the transmons. The proposal is experimentally feasible with the current state of the art and could serve as a first proof of principle for geometric quantum computing.