Kramers-protected hardware-efficient error correction with Andreev spin qubits
Abstract
We propose an architecture for bit-flip error correction of Andreev spins that is protected by Kramers' degeneracy. Specifically, we show that a coupling network of linear inductors and Andreev spin qubits results in a static Hamiltonian composed of the stabilizers of a bit-flip code. The electrodynamics of the many-body spin states also respect these stabilizers, and we show how reflectometry off a single coupled resonator can thereby accomplish their projective measurement. We further show how circuit-mediated spin couplings enable error correction operations and a complete set of single- and two-module logical quantum gates. The concept, which we dub the Ising molecule qubit (or Isene), is experimentally feasible and provides a path for compact noise-biased qubits.
Cite
@article{arxiv.2412.16116,
title = {Kramers-protected hardware-efficient error correction with Andreev spin qubits},
author = {Haoran Lu and Isidora Araya Day and Anton R. Akhmerov and Bernard van Heck and Valla Fatemi},
journal= {arXiv preprint arXiv:2412.16116},
year = {2025}
}