Distributed quantum error correction based on hyperbolic Floquet codes

TL;DR

This paper demonstrates that distributed hyperbolic Floquet codes enable efficient quantum error correction across multiple small quantum computers, achieving high fidelity with feasible local and non-local operations.

Contribution

It introduces hyperbolic Floquet codes as a novel approach for distributed quantum error correction, combining high encoding rates with low-overhead measurements.

Findings

Achieves approximately 99.97% local fidelity

Achieves approximately 99% non-local fidelity

Supports efficient distributed quantum error correction

Abstract

Quantum computing offers significant speedups, but the large number of physical qubits required for quantum error correction introduces engineering challenges for a monolithic architecture. One solution is to distribute the logical quantum computation across multiple small quantum computers, with non-local operations enabled via distributed Bell states. Previous investigations of distributed quantum error correction have largely focused on the surface code, which offers good error suppression but poor encoding rates, with each surface code instance only able to encode a single logical qubit. In this work, we argue that hyperbolic Floquet codes are particularly well-suited to distributed quantum error correction for two reasons. Firstly, their hyperbolic structure enables a high number of logical qubits to be stored efficiently. Secondly, the fact that all measurements are between pairs of qubits means that each measurement only requires a single Bell state. Under the circuit-level noise model, we demonstrate through simulations that distributed hyperbolic Floquet codes offer good performance with achievable local and non-local fidelities of approximately $99.97\%$ and $99\%$, respectively. This shows that distributed quantum error correction is not only possible but also efficiently realisable.