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Cluster states of multiple ferrimagnetic spheres in cavity magnonics

Anil Kumar Chauhan* and Jason Twamley†

  • *Contact author: anil.kumar@oist.jp
  • †Contact author: jason.twamley@oist.jp
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Phys. Rev. Research 8, 013011 – Published 8 January, 2026

DOI: https://doi.org/10.1103/6cpk-xcw4

Abstract

We present a scheme to generate the macroscopic Gaussian cluster states of multiple ferrimagnetic spheres in a microwave cavity through Kerr interactions. When each such sphere with self-Kerr nonlinearity is coupled to a single-cavity mode, it allows the generation of multimode entanglement and graph states—an important resource for one-way quantum computing through measurement-based protocols—near the strong and in the weak coupling regimes. While optimizing such states over the parameters governing the dynamics, the optimal appears for a far-detuned as well as dissipative cavity. Cluster states for a linear and a ring topology of a few spheres are discussed in the steady state of the system, further applicable to multiple spheres (n=10), for experimentally feasible parameters.

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Phys. Rev. Research 8, 013011– Published 8 January, 2026
  • Received 10 July 2025
  • Accepted 15 December 2025
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