Kramers-Protected Hardware-Efficient Error Correction with Andreev Spin Qubits
Haoran Lu (Cornell University College of Engineering)
Isidora Araya Day (Kavli institute of nanoscience Delft, TU Delft - QuTech Advanced Research Centre, TU Delft - QRD/Wimmer Group)
Anton R. Akhmerov (TU Delft - Applied Sciences, Kavli institute of nanoscience Delft)
Bernard Van Heck (Sapienza University of Rome)
Valla Fatemi (Cornell University College of Engineering)
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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,"is experimentally feasible and provides a path for compact noise-biased qubits.
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