Coherence-protected nonadiabatic geometric quantum computation

TL;DR

This paper proposes a method to construct nonadiabatic geometric quantum gates that are robust against control errors and decoherence by using a specially designed system Hamiltonian, enhancing fidelity in quantum computing.

Contribution

It introduces a new system Hamiltonian that preserves geometric features while protecting coherence, enabling universal, resource-efficient quantum gates with improved robustness.

Findings

Achieved coherence protection in nonadiabatic geometric gates.

Demonstrated implementation with nitrogen-vacancy centers.

Provided a resource-efficient scheme without auxiliary systems.

Abstract

Because of using geometric phases, nonadiabatic geometric gates have the robustness against control errors. On the other hand, decoherence still affects nonadiabatic geometric gates, which is a key factor in reducing their fidelities. In this paper, we show that based on the system Hamiltonian that realizes a nonadiabatic geometric gate, one may construct a new system Hamiltonian, by using which not only the geometric feature of the nonadiabatic geometric gate is preserved, but also the system's coherence is protected. As a result, a coherence-protected nonadiabatic geometric gate is realized with the new system Hamiltonian and this gate has the robustness against both control errors and decoherence. We further implement our scheme with nitrogen-vacancy centers and show that a universal set of coherence-protected nonadiabatic geometric gates can be realized. Our scheme does not need auxiliary systems or the encoding of logical qubits with physical qubits, which saves resources for the implementation. Due to the robustness against both control errors and decoherence, our scheme provides a promising way to realize high-fidelity quantum gates.