Protocol for generating an arbitrary quantum state of the magnetization in cavity magnonics

Abstract

We propose and numerically evaluate a protocol to generate an arbitrary quantum state of the magnetization in a magnet. The protocol involves repeatedly exciting a frequency-tunable superconducting transmon and transferring the excitations to the magnet via a microwave cavity. To avoid decay, the protocol must be much shorter than magnon lifetime. Speeding up the protocol by simply shortening the pulses leads to non-resonant leakage of excitations to higher levels of the transmon accompanied by higher decoherence. We discuss how to correct for such leakages by applying counter pulses to de-excite these higher levels. In our protocol, states with a maximum magnon occupation of up to $\sim 9$ and average magnon number up to $\sim 4$ can be generated with fidelity $>0.75$.

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• Quantum tomography of magnons using Brillouin light scattering
• Chiral phonons and phononic birefringence in ferromagnetic metal - bulk acoustic resonator hybrids
• Cavity-Enhanced Optical Manipulation of Antiferromagnetic Magnon-Pairs
• Transmon probe for quantum characteristics of magnons in antiferromagnets
• Magnon squeezing near a quantum critical point in a cavity-magnon-qubit system
• Optical signatures of quantum skyrmions