Towards Magnetic Field Quantum Memory: A Theoretical Framework for Frequency-Addressed Data Storage Using Quantum Superposition and P-Wave Magnetis

We propose a theoretical framework for quantum data storage based on magnon modes in magnetic media, with frequency-based addressing implemented through quantum superposition states. Unlike conventional memory architectures that rely on fixed spatial positions, the proposed approach encodes logical addresses in mode structure, reducing dependence on absolute spatial coordinates.

We analyze the system within a mode-resolved Hamiltonian formalism and show that the number of independently addressable channels is fundamentally limited by spectral linewidth (Γ) and available bandwidth. Coherent signal accumulation exhibits an ideal N² scaling in the fully phase-locked limit, though practical implementations are expected to be linewidth- and decoherence-limited.

Photon–magnon coupling provides a physically grounded mechanism for state transfer between optical and magnetic degrees of freedom. Additionally, recently reported p-wave magnetic structures in NiI₂ may offer a potential platform for exploring mode-defined frequency channels, although coherent storage in such materials remains experimentally unverified.

This work defines quantitative operating limits and proposes falsifiable criteria for experimental validation.

Keywords: quantum memory, magnon modes, linewidth-limited addressing, photon–magnon coupling, mode-based storage