Kramers-protected hardware-efficient error correction with Andreev spin qubits

Kavli Affiliate: Anton R. Akhmerov

| First 5 Authors: Haoran Lu, Isidora Araya Day, Anton R. Akhmerov, Bernard van Heck, Valla Fatemi

| Summary:

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.

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