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 results in a static Hamiltonian composed of the
stabilizers of a bit flip code. Thereby, without detuning from the Kramers’
point, reflectometry off a single coupled resonator accomplishes a projective
measurement of multiple stabilizers. We further show how circuit-mediated spin
couplings enable error correction operations and a complete set of logical
quantum gates. The concept is experimentally feasible.

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