Nonadiabatic holonomic quantum computation with all-resonant control

TL;DR

This paper proposes a scalable, all-resonant circuit QED lattice for nonadiabatic holonomic quantum computation, enabling fast, high-fidelity quantum gates with simplified control in superconducting circuits.

Contribution

It introduces a novel scalable architecture for nonadiabatic holonomic quantum gates using a hybrid transmon-transmission-line encoding in decoherence-free subspaces.

Findings

Achieves universal single and two-qubit gates in a tunable, all-resonant manner.

Gates exhibit very fast speeds and high fidelities.

Provides a practical pathway for high-fidelity holonomic quantum computation.

Abstract

The implementation of holonomic quantum computation on superconducting quantum circuits is challenging due to the general requirement of controllable complicated coupling between multilevel systems. Here we solve this problem by proposing a scalable circuit QED lattice with simple realization of a universal set of nonadiabatic holonomic quantum gates. Compared with the existing proposals, we can achieve both the single and two logical qubit gates in an tunable and all-resonant way through a hybrid transmon-transmission-line encoding of the logical qubits in the decoherence-free subspaces. This distinct advantage thus leads to quantum gates with very fast speeds and consequently very high fidelities. Therefore, our scheme paves a promising way towards the practical realization of high-fidelity nonadiabatic holonomic quantum computation.