Scalable nonadiabatic holonomic quantum computation on a superconducting qubit lattice

TL;DR

This paper proposes a scalable method for nonadiabatic holonomic quantum computation on superconducting qubits, using decoherence-free subspaces and tunable couplings to enhance robustness and reduce leakage.

Contribution

It introduces a scalable scheme for nonadiabatic holonomic quantum computation on a 2D superconducting qubit lattice with tunable interactions and decoherence-free encoding.

Findings

High-fidelity quantum gates achieved in simulations

Robustness demonstrated against noise and errors

Scalability confirmed for larger qubit systems

Abstract

Geometric phase is an indispensable element for achieving robust and high-fidelity quantum gates due to its built-in noise-resilience feature. However, due to the complexity of manipulation and the intrinsic leakage of the encoded quantum information to non-logical-qubit basis, the experimental realization of universal nonadiabatic holonomic quantum computation is very difficult. Here, we propose to implement scalable nonadiabatic holonomic quantum computation with decoherence-free subspace encoding on a two-dimensional square superconducting transmon-qubit lattice, where only the two-body interaction of neighboring qubits, from the simplest capacitive coupling, is needed. Meanwhile, we introduce qubit-frequency driving to achieve tunable resonant coupling for the neighboring transmon qubits, and thus avoiding the leakage problem. In addition, our presented numerical simulation shows that high-fidelity quantum gates can be obtained, verifying the advantages of the robustness and scalability of our scheme. Therefore, our scheme provides a promising way towards the physical implementation of robust and scalable quantum computation.