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NMR-active nuclei have energy levels called 'spin states' that are associated with the orientations of their nuclear magnetic moments. In the absence of a magnetic field, the nuclear magnetic moments are randomly oriented, and the spin states are degenerate. When an external magnetic field is applied, the spin states have only 2 + 1 orientations available to them. A proton with = ½ has two available orientations. Similarly, for a quadrupolar nucleus with a nuclear spin value of one, the...
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Kramers-Protected Hardware-Efficient Error Correction with Andreev Spin Qubits.

Haoran Lu1, Isidora Araya Day2,3, Anton R Akhmerov3

  • 1Cornell University, School of Applied and Engineering Physics, Ithaca, New York 14853, USA.

Physical Review Letters
|December 5, 2025
PubMed
Summary
This summary is machine-generated.

We present a novel architecture for bit-flip error correction using Andreev spins, protected by Kramers' degeneracy. This design enables compact, noise-biased qubits with feasible experimental realization for quantum computing.

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Area of Science:

  • Quantum computing
  • Quantum error correction
  • Solid-state qubits

Background:

  • Andreev spins offer a promising platform for qubits.
  • Kramers' degeneracy provides a natural protection mechanism against errors.
  • Current qubit architectures face challenges with noise and scalability.

Purpose of the Study:

  • To propose a new architecture for bit-flip error correction of Andreev spins.
  • To demonstrate how Kramers' degeneracy can protect quantum information.
  • To enable the realization of compact, noise-biased qubits.

Main Methods:

  • Utilizing a coupling network of linear inductors and Andreev spin qubits.
  • Formulating a static Hamiltonian based on bit-flip code stabilizers.
  • Employing reflectometry off a coupled resonator for projective measurement.
  • Implementing circuit-mediated spin couplings for error correction and gate operations.

Main Results:

  • A static Hamiltonian composed of bit-flip code stabilizers was derived.
  • The electrodynamics of many-body spin states were shown to respect these stabilizers.
  • Projective measurement of stabilizers was achieved via resonator reflectometry.
  • Circuit-mediated couplings enable error correction and a full set of quantum gates.

Conclusions:

  • The proposed "Ising molecule qubit" architecture is experimentally feasible.
  • This approach offers a viable path towards compact and noise-biased qubits.
  • The architecture provides a robust method for bit-flip error correction in quantum systems.