Nonadiabatic geometric quantum computation with parametrically tunable coupling

TL;DR

This paper proposes a simple, high-fidelity method for implementing nonadiabatic geometric quantum gates on superconducting qubits using parametrically tunable resonant interactions, enhancing robustness and reducing experimental complexity.

Contribution

It introduces a novel, experimentally accessible approach to realize nonadiabatic geometric gates with tunable coupling, avoiding auxiliary states and enabling decoherence-free subspace operations.

Findings

Achieves high-fidelity geometric gates with simple control

Demonstrates suppression of systematic errors via composite scenarios

Realizes universal gates in decoherence-free subspace using only two qubits

Abstract

The nonadiabatic geometric quantum computation is promising as it is robust against certain types of local noises. However, its experimental implementation is challenging due to the need of complex control on multi-level and/or multiple quantum systems. Here, we propose to implement it on a two-dimensional square superconducting qubit lattice. In the construction of our geometric quantum gates, we only use the simplest and experimentally accessible control over the qubit states of the involved quantum systems, without introducing any auxiliary state. Specifically, our scheme is achieved by parametrically tunable all-resonant interaction, which leads to high-fidelity quantum gates. Meanwhile, this simple implementation can be conveniently generalized to a composite scenario, which can further suppress the systematic error during the gate operations. In addition, universal nonadiabatic geometric quantum gates in decoherence-free subspace can also be realized based on the tunable coupling between only two transmon qubits, without consulting to multiple qubits and only using two physical qubits to encode a logical qubit. Therefore, our proposal provides a promising way of high-fidelity geometric manipulation for robust solid-state quantum computation.