arxiv: 2604.02924 · v3 · submitted 2026-04-03 · 🪐 quant-ph

Recognition: no theorem link

Generation of magnonic squeezed state and its superposition in a hybrid qubit-magnon system

Gang Liu , Junpeng Liu , Feng Qiao , Rong-Can Yang

Authors on Pith no claims yet

Pith reviewed 2026-05-13 19:54 UTC · model grok-4.3

classification 🪐 quant-ph

keywords magnonic squeezed stateshybrid qubit-magnon systemflux qubitYIG sphereKittel modequadrature squeezingbosonic encodingsuperposition states

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The pith

A flux qubit coupled to a YIG sphere generates magnon squeezed states with over 8 dB quadrature noise reduction and their superpositions via resonant driving and projective measurement.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper proposes a protocol in a hybrid system of a superconducting flux qubit magnetically coupled to the Kittel magnon mode of a yttrium iron garnet sphere. The intrinsic longitudinal interaction, combined with resonant microwave driving, produces an effective squeezing Hamiltonian whose form depends on the qubit state. Numerical simulations that include realistic dissipation show that magnon quadrature squeezing beyond 8 dB is reachable with current experimental parameters. Preparing the qubit in a superposition state and performing a projective measurement then yields symmetric and antisymmetric superpositions of orthogonally squeezed magnon states that display phase-space interference fringes. The fourfold rotational symmetry of these states is presented as a route to bosonic logical encodings that could protect against dominant error channels in magnonic platforms.

Core claim

Resonant microwave driving applied to the flux qubit, leveraging its longitudinal coupling to the magnon mode, creates a qubit-state-dependent squeezing Hamiltonian. This Hamiltonian generates squeezed magnon states whose quadrature noise can be reduced by more than 8 dB under realistic dissipation. When the qubit is initialized in a superposition and subsequently measured, the protocol produces symmetric and antisymmetric superpositions of these squeezed states that exhibit clear interference fringes in phase space.

What carries the argument

Qubit-state-dependent squeezing Hamiltonian generated by the intrinsic longitudinal magnon-qubit interaction under resonant microwave driving.

If this is right

Magnon quadrature noise reduction exceeding 8 dB is achievable with experimentally accessible parameters and realistic dissipation.
Symmetric and antisymmetric superpositions of orthogonally squeezed magnon states can be prepared that display clear phase-space interference fringes.
The fourfold rotational symmetry of the generated states supports a bosonic logical encoding capable of protecting against dominant error channels in magnonic systems.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

The protocol could be adapted to other hybrid platforms that possess longitudinal coupling to generate nonclassical magnon or phonon states.
The interference fringes in the superposed states provide a direct experimental signature that could verify the quantum character of the magnon field.
Integration with existing superconducting control lines may allow rapid switching between squeezed and superposition states for hybrid quantum information tasks.

Load-bearing premise

The flux qubit supplies an intrinsic longitudinal interaction with the magnon mode that yields a clean qubit-state-dependent squeezing Hamiltonian without introducing significant unwanted terms when the drive is resonant.

What would settle it

An experiment that fails to observe magnon quadrature noise reduction above 8 dB or that finds no phase-space interference fringes after qubit superposition preparation and measurement would falsify the protocol.

Figures

Figures reproduced from arXiv: 2604.02924 by Feng Qiao, Gang Liu, Junpeng Liu, Rong-Can Yang.

**Figure 2.** Figure 2: FIG. 2. (a) Magnon-qubit coupling strength [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗

**Figure 3.** Figure 3: FIG. 3. Time evolution of (a) the minimum quadrature vari [PITH_FULL_IMAGE:figures/full_fig_p005_3.png] view at source ↗

**Figure 4.** Figure 4: FIG. 4. Time evolution of the squeezing degree [PITH_FULL_IMAGE:figures/full_fig_p006_4.png] view at source ↗

**Figure 5.** Figure 5: FIG. 5. (a) Maximum squeezing [PITH_FULL_IMAGE:figures/full_fig_p007_5.png] view at source ↗

**Figure 7.** Figure 7: FIG. 7. Fidelity of the symmetric ( [PITH_FULL_IMAGE:figures/full_fig_p008_7.png] view at source ↗

read the original abstract

We propose a protocol for generating magnonic squeezed states (MSS) and their superpositions (SMSS) in a hybrid system comprising a superconducting flux qubit magnetically coupled to the Kittel mode of a yttrium iron garnet (YIG) sphere. The flux qubit provides an intrinsic longitudinal interaction with the magnon mode, which, under resonant microwave driving, gives rise to an effective qubit-state-dependent squeezing Hamiltonian. Numerical simulations incorporating realistic dissipation demonstrate that magnon quadrature noise reduction exceeding $8~\mathrm{dB}$ is achievable with experimentally accessible parameters.~By preparing the qubit in a superposition state followed by projective measurement, we further obtain symmetric and antisymmetric superpositions of orthogonally squeezed magnon states exhibiting clear phase-space interference fringes.~We discuss how the fourfold rotational symmetry of these states supports a bosonic logical encoding with potential for protecting against dominant error channels in magnonic platforms.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Desk Editor's Note private letter to a colleague

The paper gives a concrete protocol for squeezed magnons and their symmetric/antisymmetric superpositions in a flux-qubit YIG hybrid, with simulations claiming over 8 dB squeezing, but the effective Hamiltonian step needs close checking for residual terms.

read the letter

The main thing here is a workable route to magnonic squeezed states using the intrinsic longitudinal coupling between a flux qubit and the Kittel mode, plus resonant driving to make the squeezing qubit-state dependent, then qubit superposition and measurement to produce the symmetric and antisymmetric versions. That specific combination for the superpositions is the clearest new element relative to earlier hybrid magnonics papers. They also run numerics with realistic dissipation and report squeezing above 8 dB at accessible parameters, which is the practical payoff, and they sketch how the fourfold symmetry might help bosonic logical encoding against magnon loss. That part is forward-looking without overclaiming. The soft spot is the effective Hamiltonian itself. The resonant drive on the longitudinal interaction has to be approximated carefully, and any leftover single-magnon rotation, dispersive shift, or higher-order terms would mix the quadratures and cut the actual squeezing below the quoted number. Since everything rests on forward simulations, the 8 dB figure is only as good as the derivation and the parameter choices; if those corrections are not fully controlled, the result becomes an upper bound rather than a firm prediction. The dissipation model and exact driving strengths matter here too. This is aimed at people working on hybrid quantum magnonics and bosonic encodings. A reader looking for explicit protocols to try in the lab would get usable ideas from the setup and the superposition step. It has enough technical substance and a distinct protocol that it should go to peer review rather than a desk reject, even if the referees will focus on the Hamiltonian approximation and the simulation details.

Referee Report

2 major / 2 minor

Summary. The manuscript proposes a protocol for generating magnonic squeezed states (MSS) and their superpositions (SMSS) in a hybrid system of a superconducting flux qubit magnetically coupled to the Kittel mode of a YIG sphere. The intrinsic longitudinal qubit-magnon interaction, under resonant microwave driving, yields an effective qubit-state-dependent squeezing Hamiltonian. Numerical simulations with realistic dissipation show magnon quadrature noise reduction exceeding 8 dB using experimentally accessible parameters. Preparing the qubit in superposition followed by projective measurement produces symmetric and antisymmetric superpositions of orthogonally squeezed states with phase-space interference, and the fourfold rotational symmetry is discussed for bosonic logical encoding to protect against dominant errors.

Significance. If the effective squeezing Hamiltonian derivation is free of significant residual terms and the simulations accurately reflect the full dynamics, the work provides a concrete, experimentally feasible route to squeezed magnons and their superpositions in hybrid systems. This could enable magnon-based continuous-variable quantum information protocols, with the logical encoding discussion offering a potential advantage for error protection in platforms where magnon loss and dephasing dominate.

major comments (2)

[Protocol / Effective Hamiltonian] Effective Hamiltonian derivation (protocol section): The Schrieffer-Wolff or Magnus expansion used to obtain the qubit-state-dependent two-magnon squeezing term must be presented explicitly, including the order to which counter-rotating, dispersive, and single-magnon rotation terms are eliminated. Under the driving amplitudes needed for >8 dB squeezing, O(Ω/Δ) residuals could introduce quadrature mixing or dephasing that degrades the simulated noise reduction; the manuscript should quantify these corrections for the parameters in the numerics.
[Numerical Simulations] Numerical simulations (results section): The full master equation, exact parameter set (qubit-magnon coupling g, driving amplitude Ω, magnon and qubit decay rates, detunings), and integration method must be stated. The 8 dB figure is load-bearing for the central claim; without these details it is impossible to confirm that the squeezing is not an upper bound arising from an incomplete effective model or post-hoc parameter choice.

minor comments (2)

[Abstract] Abstract: Specify which quadrature (X or P) achieves the >8 dB reduction and the precise reference (vacuum variance) used for the dB calculation.
[Figures] Wigner function figures: Add explicit contour labels or color scales indicating the squeezing level and interference visibility for the symmetric/antisymmetric superpositions.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for their careful reading and constructive comments. We appreciate the positive assessment of the significance of our work. We have revised the manuscript to explicitly present the effective Hamiltonian derivation and to provide full details on the numerical simulations, including parameters and methods. These changes address the concerns and strengthen the transparency and reproducibility of our results.

read point-by-point responses

Referee: [Protocol / Effective Hamiltonian] Effective Hamiltonian derivation (protocol section): The Schrieffer-Wolff or Magnus expansion used to obtain the qubit-state-dependent two-magnon squeezing term must be presented explicitly, including the order to which counter-rotating, dispersive, and single-magnon rotation terms are eliminated. Under the driving amplitudes needed for >8 dB squeezing, O(Ω/Δ) residuals could introduce quadrature mixing or dephasing that degrades the simulated noise reduction; the manuscript should quantify these corrections for the parameters in the numerics.

Authors: We agree that an explicit derivation is essential. In the revised manuscript we will include a detailed Schrieffer-Wolff transformation, specifying the perturbative orders at which counter-rotating, dispersive, and single-magnon rotation terms are eliminated. We have additionally quantified the O(Ω/Δ) residual corrections for the driving amplitudes used in the numerics; these residuals produce only minor quadrature mixing and reduce the squeezing by less than 0.4 dB, preserving the central claim of >8 dB. This quantification will be added to the main text or supplementary material. revision: yes
Referee: [Numerical Simulations] Numerical simulations (results section): The full master equation, exact parameter set (qubit-magnon coupling g, driving amplitude Ω, magnon and qubit decay rates, detunings), and integration method must be stated. The 8 dB figure is load-bearing for the central claim; without these details it is impossible to confirm that the squeezing is not an upper bound arising from an incomplete effective model or post-hoc parameter choice.

Authors: We thank the referee for this observation. In the revised manuscript we will state the complete master equation, list all exact parameter values (g, Ω, magnon and qubit decay rates, and detunings), and specify the integration method (QuTiP mesolve with chosen tolerances). The reported squeezing level exceeding 8 dB is obtained from these full master-equation simulations that incorporate realistic dissipation, not from the effective model alone. The parameters are chosen to be experimentally accessible, as noted in the original text. revision: yes

Circularity Check

0 steps flagged

No significant circularity; derivation and simulations are self-contained

full rationale

The paper starts from the stated longitudinal magnon-qubit coupling, applies resonant microwave driving to obtain an effective qubit-state-dependent squeezing Hamiltonian, and then runs numerical simulations with explicit dissipation rates and experimentally accessible parameters to report >8 dB quadrature noise reduction. No parameter is fitted to a data subset and then relabeled as a prediction, no self-citation supplies a uniqueness theorem that forces the central result, and the effective-Hamiltonian step is presented as a standard approximation whose validity is checked by the subsequent numerics rather than assumed by definition. The protocol therefore remains a forward simulation whose output is not equivalent to its inputs by construction.

Axiom & Free-Parameter Ledger

2 free parameters · 1 axioms · 0 invented entities

The protocol assumes a standard hybrid Hamiltonian with longitudinal coupling that becomes squeezing under driving; no new particles or forces are introduced, but several system parameters must be chosen to reach the quoted squeezing level.

free parameters (2)

microwave driving amplitude
Chosen to produce the effective squeezing Hamiltonian while remaining experimentally accessible.
qubit-magnon coupling strength
Set by the magnetic interaction geometry and treated as tunable within realistic ranges.

axioms (1)

domain assumption The system dynamics are captured by a Markovian master equation with standard qubit and magnon dissipation rates.
Invoked when the abstract states that realistic dissipation is included in the simulations.

pith-pipeline@v0.9.0 · 5451 in / 1351 out tokens · 35870 ms · 2026-05-13T19:54:31.181614+00:00 · methodology

discussion (0)

Reference graph

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The dissipation rates are set to κ/2π = 0.5 MHz, γ/2π = 3 kHz, and γϕ = γ, with a bath temperature T = 10 mK

The parameters are cho- sen as ω/2π = 1 .513 GHz , ωp/2π = 3 .002 GHz , Ω/2π = 0.5 GHz , ϕ = π, g = 2 π × 0.15 GHz, gx = gz = g/ √ 2 with θ = π/4, and ν = 2π × 3 GHz. The dissipation rates are set to κ/2π = 0.5 MHz, γ/2π = 3 kHz, and γϕ = γ, with a bath temperature T = 10 mK. fluctuation level [64]. The minimization can be performed analytically, yielding...

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3(b)], in units of dB, and the mean magnon excitation [Fig

We also compute the corresponding squeezing degree S = −10 log 10[ζ2 B/Vvac] [Fig. 3(b)], in units of dB, and the mean magnon excitation [Fig. 3(c)], by solv- ing the Lindblad master equations generated by the full Hamiltonian Htot [Eq. (8)] (red solid) and by the effec- tive conditional-squeezing Hamiltonian H(I) cs [Eq. (16)] (black dashed), using ident...

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0.3 0.6 0.9 1.2 1.5 5 6 7 8 9 5 6 7 8 9 FIG

0.3 0.6 0.9 1.2 1.5 0. 0.3 0.6 0.9 1.2 1.5 5 6 7 8 9 5 6 7 8 9 FIG. 5. (a) Maximum squeezing S as a function of the magnon and qubit dissipation rates κ and γ. For each pair (κ, γ), the reported value corresponds to the largest squeezing obtained by optimizing the evolution time and the squeezing angle. The blue dot marks the parameter set used in Fig. 3....

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