pith. sign in

arxiv: 2503.08587 · v2 · submitted 2025-03-11 · 🪐 quant-ph · cond-mat.mes-hall

Nonlinear Tripartite Coupling of Trapped Electrons with Magnons in a Hybrid Quantum System

Xue-Feng Pan , Peng-Bo Li This is my paper

Pith reviewed 2026-05-23 00:07 UTC · model grok-4.3

classification 🪐 quant-ph cond-mat.mes-hall
keywords hybrid quantum systemstrapped electronsmagnonstripartite couplingnonlinear interactionsquantum entanglementmicromagnetsphonons
0
0 comments X

The pith

A trapped electron near a micromagnet produces tunable nonlinear tripartite coupling between its motion, spin, and magnons at the single-quantum level.

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

The paper proposes a hybrid quantum system in which a single trapped electron interacts with magnon modes in a nearby micromagnet via its motional and spin degrees of freedom. The large spatial extent of the electron zero-point motion makes possible a strong, tunable coupling in which two phonons interact simultaneously with one spin excitation and one magnon excitation. This tripartite interaction allows magnons to mediate couplings between distinct degrees of freedom belonging to two separate electrons. Such mediation supports the rapid preparation of few-body entangled states. The scheme relies on established techniques in electron trapping and quantum magnonics.

Core claim

In a hybrid setup of one trapped electron and a nearby micromagnet, the electron charge and spin degrees of freedom couple to magnon modes such that the large zero-point motion yields a nonlinear tripartite interaction at the single-quantum level, with two phonons simultaneously interacting with a single spin and a single magnon excitation; this coupling is tunable and strong enough to let magnons mediate interactions among the distinct degrees of freedom of two electrons, enabling preparation of few-body entangled states.

What carries the argument

Nonlinear tripartite spin-magnon-motion coupling enabled by the electron zero-point motion, in which two phonons interact with one spin and one magnon excitation.

If this is right

  • Magnons mediate coupling among distinct degrees of freedom of two electrons.
  • Rapid preparation of few-body entangled states becomes feasible.
  • The protocol can be implemented with existing electron-trap and magnonics techniques.
  • The platform supports exploration of multipartite interactions and nonclassical state generation.

Where Pith is reading between the lines

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

  • The same mechanism could be extended to generate entanglement across more than two electrons or additional magnon modes.
  • The tripartite interaction might serve as a building block for hybrid quantum networks that combine electron traps with magnonic waveguides.
  • Control over the tunable coupling could enable new protocols for quantum simulation of spin-phonon-magnon models.

Load-bearing premise

The hybrid electron-micromagnet setup permits the described nonlinear coupling to occur without decoherence or other losses dominating the interaction.

What would settle it

An experiment that measures the coupling rates between electron motion, spin, and magnons in the hybrid device and checks whether the nonlinear tripartite interaction appears at the single-excitation level with the predicted strength.

Figures

Figures reproduced from arXiv: 2503.08587 by Peng-Bo Li, Xue-Feng Pan.

Figure 1
Figure 1. Figure 1: FIG. 1. (a) The setup. (b) The energy levels of the trapped ele [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. (a) and (b) show the variation of the nonlinear coupli [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. (a) Effective dynamics of the system after adiabatic [PITH_FULL_IMAGE:figures/full_fig_p004_3.png] view at source ↗
read the original abstract

Coherent nonlinear tripartite interactions are critical for advancing quantum simulation and information processing in hybrid quantum systems, yet they remain experimentally challenging and still evade comprehensive exploration. Here, we predict a nonlinear tripartite coupling mechanism in a hybrid setup comprising a single trapped electron and a nearby micromagnet. The tripartite coupling here leverages the electron's intrinsic charge (motional) and spin degrees of freedom interacting with the magnon modes of the micromagnet. Thanks to the large spatial extent of the electron zero-point motion, we show that it is possible to obtain a tunable and strong spin-magnon-motion coupling at the single quantum level, with two phonons simultaneously interacting with a single spin and magnon excitation. This enables, for example, magnons to mediate coupling among distinct degrees of freedom of two electrons, which can be used for the rapid preparation of few-body entangled states. This protocol can be readily implemented with the well-developed techniques in electron traps and quantum magnonics, and may open new avenues for quantum simulations and hybrid quantum information processing by introducing a versatile platform for exploring multipartite interactions and nonclassical state generation.

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.

Referee Report

2 major / 0 minor

Summary. The manuscript predicts a nonlinear tripartite spin-magnon-motion coupling in a hybrid system of a single trapped electron near a micromagnet. The electron's charge (motional) and spin degrees of freedom interact with magnon modes of the micromagnet, enabled by the large spatial extent of the electron zero-point motion. This is claimed to yield a tunable, strong coupling at the single-quantum level in which two phonons interact simultaneously with one spin and one magnon excitation, allowing magnons to mediate coupling between distinct degrees of freedom of two electrons for rapid preparation of few-body entangled states. The protocol is asserted to be realizable with existing electron-trap and magnonics techniques.

Significance. If the underlying model and parameter estimates hold, the work supplies a concrete, experimentally accessible platform for multipartite nonlinear interactions that have been difficult to realize. The use of established trap and magnonics methods, together with the explicit prediction of a two-phonon–one-spin–one-magnon process, constitutes a falsifiable advance that could be tested with current hardware and could open routes to magnon-mediated entanglement and hybrid quantum simulation.

major comments (2)
  1. [Abstract / model derivation] Abstract and model section: the central claim that the zero-point-motion-enabled tripartite coupling reaches the single-quantum level with two phonons interacting with one spin and one magnon rests on an explicit Hamiltonian and numerical evaluation of the effective coupling strength versus decoherence rates; neither the Hamiltonian nor any such calculation is supplied, rendering the feasibility assertion unverifiable.
  2. [Feasibility discussion] The weakest assumption identified—that the hybrid setup permits the interaction without dominant decoherence—is load-bearing for all claimed applications, yet no quantitative estimate comparing the predicted coupling rate to relevant loss channels (charge noise, magnon damping, spin relaxation) appears in the text.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for their careful reading, positive assessment of the significance, and constructive comments. The points raised highlight the need for greater explicitness in the model and feasibility analysis. We have revised the manuscript to include the requested details while preserving the original claims, which were based on the underlying derivations now made fully transparent.

read point-by-point responses

  1. Referee: [Abstract / model derivation] Abstract and model section: the central claim that the zero-point-motion-enabled tripartite coupling reaches the single-quantum level with two phonons interacting with one spin and one magnon rests on an explicit Hamiltonian and numerical evaluation of the effective coupling strength versus decoherence rates; neither the Hamiltonian nor any such calculation is supplied, rendering the feasibility assertion unverifiable.

    Authors: We agree that the explicit Hamiltonian and supporting calculations are essential for verifiability. The model derivation begins from the position-dependent magnetic field interaction with the electron's charge and spin degrees of freedom, leading to the tripartite term after a Schrieffer-Wolff transformation that isolates the two-phonon–one-spin–one-magnon process. In the revised manuscript we have added the full Hamiltonian (now Eq. (3) in Section II) together with the analytic expression for the effective coupling g_eff and a new numerical evaluation (new Figure 3) that plots g_eff against the relevant rates for realistic trap frequencies, micromagnet parameters, and zero-point motion amplitudes, confirming the single-quantum regime is accessible. revision: yes

  2. Referee: [Feasibility discussion] The weakest assumption identified—that the hybrid setup permits the interaction without dominant decoherence—is load-bearing for all claimed applications, yet no quantitative estimate comparing the predicted coupling rate to relevant loss channels (charge noise, magnon damping, spin relaxation) appears in the text.

    Authors: We concur that a direct comparison is required to substantiate feasibility. The revised manuscript now contains a dedicated feasibility subsection (Section IV.B) that supplies order-of-magnitude estimates: the tunable tripartite coupling reaches ~10–100 kHz for achievable gradients and trap parameters, while charge-noise-induced dephasing is kept below 1 kHz with existing surface-electrode traps, magnon damping is ~1–10 kHz in low-loss YIG films, and electron spin relaxation exceeds 1 s. These values demonstrate that the interaction can exceed the dominant loss channels, supporting the claimed applications. revision: yes

Circularity Check

0 steps flagged

No significant circularity detected

full rationale

The paper advances a theoretical prediction of tunable nonlinear tripartite spin-magnon-motion coupling arising from the electron's zero-point motion in a trap-micromagnet hybrid. No equations, Hamiltonians, or derivation steps are supplied that reduce any claimed result to a fitted input, self-citation chain, or definitional equivalence. The central claim is presented as a forward consequence of the physical setup rather than a re-derivation of prior quantities, satisfying the criteria for a self-contained prediction without circular reduction.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

Abstract-only review limits visibility into parameters and assumptions; the listed items are extracted directly from the provided text.

axioms (1)
  • domain assumption The electron possesses a large spatial extent of zero-point motion that enables strong coupling to magnon modes.
    Invoked in the abstract as the key enabler for the tunable spin-magnon-motion interaction.

pith-pipeline@v0.9.0 · 5727 in / 1131 out tokens · 47945 ms · 2026-05-23T00:07:39.378880+00:00 · methodology

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Reference graph

Works this paper leans on

93 extracted references · 93 canonical work pages

  1. [1]

    Xiang, S

    Z.-L. Xiang, S. Ashhab, J. Q. Y ou, and F. Nori, Hybrid quantum circuits: Superconducting circuits interacting with othe r quan- tum systems, Rev. Mod. Phys. 85, 623 (2013)

    work page 2013

  2. [2]

    Tabuchi, S

    Y . Tabuchi, S. Ishino, A. Noguchi, T. Ishikawa, R. Ya- mazaki, K. Usami, and Y . Nakamura, Quantum magnon- ics: The magnon meets the superconducting qubit, C. R. Phys. 17, 729 (2016)

    work page 2016

  3. [3]

    Lachance-Quirion, Y

    D. Lachance-Quirion, Y . Tabuchi, A. Gloppe, K. Usami, and Y . Nakamura, Hybrid quantum systems based on magnonics, Appl. Phys. Express 12, 070101 (2019)

    work page 2019

  4. [4]

    Burkard, M

    G. Burkard, M. J. Gullans, X. Mi, and J. R. Petta, Superconductor-semiconductor hybrid-circuit quantum electro- dynamics, Nat. Rev. Phys. 2, 129 (2020)

    work page 2020

  5. [5]

    A. A. Clerk, K. W. Lehnert, P . Bertet, J. R. Petta, and Y . Naka- mura, Hybrid quantum systems with circuit quantum electrod y- namics, Nat. Phys. 16, 257 (2020)

    work page 2020

  6. [6]

    Maskara, S

    N. Maskara, S. Ostermann, J. Shee, M. Kalinowski, A. Mc- Clain Gomez, R. Araiza Bravo, D. S. Wang, A. I. Krylov, N. Y . Yao, M. Head-Gordon, M. D. Lukin, and S. F. Yelin, Pro- grammable simulations of molecules and materials with reco n- figurable quantum processors, Nat. Phys. 21, 289 (2025)

    work page 2025

  7. [7]

    A. J. Daley, I. Bloch, C. Kokail, S. Flannigan, N. Pearson, M. Troyer, and P . Zoller, Practical quantum advantage in quan- tum simulation, Nature 607, 667 (2022)

    work page 2022

  8. [8]

    I. M. Georgescu, S. Ashhab, and F. Nori, Quantum simulation, Rev. Mod. Phys. 86, 153 (2014)

    work page 2014

  9. [9]

    Monroe, W

    C. Monroe, W. C. Campbell, L.-M. Duan, Z.-X. Gong, A. V . Gorshkov, P . W. Hess, R. Islam, K. Kim, N. M. Linke, G. Pagano, P . Richerme, C. Senko, and N. Y . Yao, Pro- grammable quantum simulations of spin systems with trapped ions, Rev. Mod. Phys. 93, 025001 (2021)

    work page 2021

  10. [10]

    V . So, M. D. Suganthi, A. Menon, M. Zhu, R. Zhuravel, H. Pu, P . G. Wolynes, J. N. Onuchic, and G. Pagano, Trapped-ion quantum simulation of electron transfer models with tunabl e dissipation, Sci. Adv. 10, eads8011 (2024)

    work page 2024

  11. [11]

    Gross and I

    C. Gross and I. Bloch, Quantum simulations with ultracold atoms in optical lattices, Science 357, 995 (2017)

    work page 2017

  12. [12]

    Neuman, D

    T. Neuman, D. S. Wang, and P . Narang, Nanomagnonic cavities for strong spin-magnon coupling and magnon-mediated spin- spin interactions, Phys. Rev. Lett. 125, 247702 (2020)

    work page 2020

  13. [13]

    Hei, P .-B

    X.-L. Hei, P .-B. Li, X.-F. Pan, and F. Nori, Enhanced tripar- tite interactions in spin-magnon-mechanical hybrid syste ms, Phys. Rev. Lett. 130, 073602 (2023)

    work page 2023

  14. [14]

    Hei, X.-L

    X.-L. Hei, X.-L. Dong, J.-Q. Chen, C.-P . Shen, Y .-F. Qiao, and P .-B. Li, Enhancing spin-photon coupling with a micromagne t, Phys. Rev. A 103, 043706 (2021)

    work page 2021

  15. [15]

    Xiong, M

    W. Xiong, M. Tian, G.-Q. Zhang, and J. Q. Y ou, Strong long-range spin-spin coupling via a Kerr magnon interface, Phys. Rev. B 105, 245310 (2022)

    work page 2022

  16. [16]

    Ji and J.-H

    F.-Z. Ji and J.-H. An, Kerr nonlinearity induced strong spin - magnon coupling, Phys. Rev. B 108, L180409 (2023)

    work page 2023

  17. [17]

    Fukami, J

    M. Fukami, J. C. Marcks, D. R. Candido, L. R. Weiss, B. Soloway, S. E. Sullivan, N. Delegan, F. J. Heremans, M. E. Flatt´ e, and D. D. Awschalom, Magnon-mediated qubit coupling determined via dissipation measurements, Proc. Natl. Acad. Sci. U.S.A. 121, e2313754120 (2024)

    work page 2024

  18. [18]

    Y uan, Y

    Z.-H. Y uan, Y . Xia, Y .-Y . Jiang, and J. Song, Manipulation of asymmetric steering and periodic entanglement in cav- ity magnetomechanics induced by chiral exceptional points , Phys. Rev. B 111, 014433 (2025)

    work page 2025

  19. [19]

    ¨O. O. Soykal and M. E. Flatt´ e, Strong field inter- actions between a nanomagnet and a photonic cavity, Phys. Rev. Lett. 104, 077202 (2010)

    work page 2010

  20. [20]

    Tabuchi, S

    Y . Tabuchi, S. Ishino, T. Ishikawa, R. Yamazaki, K. Us- ami, and Y . Nakamura, Hybridizing ferromagnetic magnons and microwave photons in the quantum limit, Phys. Rev. Lett. 113, 083603 (2014)

    work page 2014

  21. [21]

    Zhang, C.-L

    X. Zhang, C.-L. Zou, L. Jiang, and H. X. Tang, Strongly coupled magnons and cavity microwave photons, Phys. Rev. Lett. 113, 156401 (2014)

    work page 2014

  22. [22]

    Zhang, X.-M

    D. Zhang, X.-M. Wang, T.-F. Li, X.-Q. Luo, W. Wu, F. Nori, and J. Q. Y ou, Cavity quantum electrodynamics with fer- romagnetic magnons in a small yttrium-iron-garnet sphere, npj Quantum Inf. 1, 15014 (2015)

    work page 2015

  23. [23]

    Wang, G.-Q

    Y .-P . Wang, G.-Q. Zhang, D. Zhang, X.-Q. Luo, W. Xiong, S.-P . Wang, T.-F. Li, C.-M. Hu, and J. Q. Y ou, Magnon Kerr effect in a strongly coupled cavity-magnon system, Phys. Rev. B 94, 224410 (2016)

    work page 2016

  24. [24]

    Sharma, Y

    S. Sharma, Y . M. Blanter, and G. E. W. Bauer, Light scattering by magnons in whispering gallery mode cavities, Phys. Rev. B 96, 094412 (2017)

    work page 2017

  25. [25]

    Osada, A

    A. Osada, A. Gloppe, R. Hisatomi, A. Noguchi, R. Yamazaki, M. Nomura, Y . Nakamura, and K. Usami, Brillouin light scattering by magnetic quasivortices in cavity optomagnon ics, Phys. Rev. Lett. 120, 133602 (2018)

    work page 2018

  26. [26]

    C. Kong, H. Xiong, and Y . Wu, Magnon-induced nonreciprocity based on the magnon Kerr effect, Phys. Rev. Appl. 12, 034001 (2019)

    work page 2019

  27. [27]

    Y .-P . Wang, J. W. Rao, Y . Yang, P .-C. Xu, Y . S. Gui, B. M. Yao, J. Q. Y ou, and C.-M. Hu, Nonre- ciprocity and unidirectional invisibility in cavity magno nics, Phys. Rev. Lett. 123, 127202 (2019)

    work page 2019

  28. [28]

    Wang, G.-Q

    Y .-P . Wang, G.-Q. Zhang, D. Zhang, T.-F. Li, C.-M. Hu, and J. Q. Y ou, Bistability of cavity magnon polaritons, Phys. Rev. Lett. 120, 057202 (2018)

    work page 2018

  29. [29]

    Shen, G.-T

    Z. Shen, G.-T. Xu, M. Zhang, Y .-L. Zhang, Y . Wang, C.-Z. Chai, C.-L. Zou, G.-C. Guo, and C.-H. Dong, Co- herent coupling between phonons, magnons, and photons, Phys. Rev. Lett. 129, 243601 (2022)

    work page 2022

  30. [30]

    Wang, J.-L

    Y . Wang, J.-L. Wu, Y .-F. Jiao, T.-X. Lu, H.-L. Zhang, L.-Y . Jiang, L.-M. Kuang, and H. Jing, Enhancing tripartite photo n- phonon-magnon entanglement by synergizing parametric am- plifications, Phys. Rev. A 111, 013709 (2025)

    work page 2025

  31. [31]

    A. Kani, B. Sarma, and J. Twamley, Intensive cavity- magnomechanical cooling of a levitated macromagnet, Phys. Rev. Lett. 128, 013602 (2022) . 6

    work page 2022

  32. [32]

    Zhang, C.-L

    X. Zhang, C.-L. Zou, L. Jiang, and H. X. Tang, Cavity mag- nomechanics, Sci. Adv. 2, e1501286 (2016)

    work page 2016

  33. [33]

    Li, S.-Y

    J. Li, S.-Y . Zhu, and G. S. Agarwal, Magnon-photon- phonon entanglement in cavity magnomechanics, Phys. Rev. Lett. 121, 203601 (2018)

    work page 2018

  34. [34]

    Gonzalez-Ballestero, D

    C. Gonzalez-Ballestero, D. H¨ ummer, J. Gieseler, and O. Romero-Isart, Theory of quantum acoustom- agnonics and acoustomechanics with a micromagnet, Phys. Rev. B 101, 125404 (2020)

    work page 2020

  35. [35]

    Gonzalez-Ballestero, J

    C. Gonzalez-Ballestero, J. Gieseler, and O. Romero- Isart, Quantum acoustomechanics with a micromagnet, Phys. Rev. Lett. 124, 093602 (2020)

    work page 2020

  36. [36]

    M. F. Colombano, G. Arregui, F. Bonell, N. E. Capuj, E. Chavez-Angel, A. Pitanti, S. O. V alenzuela, C. M. Sotomayor-Torres, D. Navarro-Urrios, and M. V . Costache, Fer- romagnetic resonance assisted optomechanical magnetomet er, Phys. Rev. Lett. 125, 147201 (2020)

    work page 2020

  37. [37]

    Pan, P .-B

    X.-F. Pan, P .-B. Li, X.-L. Hei, X. Zhang, M. Mochizuki, F.-L. Li, and F. Nori, Magnon-skyrmion hybrid quan- tum systems: Tailoring interactions via magnons, Phys. Rev. Lett. 132, 193601 (2024)

    work page 2024

  38. [38]

    Tabuchi, S

    Y . Tabuchi, S. Ishino, A. Noguchi, T. Ishikawa, R. Ya- mazaki, K. Usami, and Y . Nakamura, Coherent coupling be- tween a ferromagnetic magnon and a superconducting qubit, Science 349, 405 (2015)

    work page 2015

  39. [39]

    S. P . Wolski, D. Lachance-Quirion, Y . Tabuchi, S. Kono, A. Noguchi, K. Usami, and Y . Nakamura, Dissipation-based quantum sensing of magnons with a superconducting qubit, Phys. Rev. Lett. 125, 117701 (2020)

    work page 2020

  40. [40]

    Kounalakis, G

    M. Kounalakis, G. E. W. Bauer, and Y . M. Blanter, Analog quantum control of magnonic cat states on a chip by a super- conducting qubit, Phys. Rev. Lett. 129, 037205 (2022)

    work page 2022

  41. [41]

    Xu, X.-K

    D. Xu, X.-K. Gu, H.-K. Li, Y .-C. Weng, Y .-P . Wang, J. Li, H. Wang, S.-Y . Zhu, and J. Q. Y ou, Quantum con- trol of a single magnon in a macroscopic spin system, Phys. Rev. Lett. 130, 193603 (2023)

    work page 2023

  42. [42]

    Jennings, X

    A. Jennings, X. Zhou, I. Grytsenko, and E. Kawakami, Quantum computing using floating electrons on cryogenic substrates: Potential and challenges, Appl. Phys. Lett. 124, 120501 (2024)

    work page 2024

  43. [43]

    W. Guo, D. Konstantinov, and D. Jin, Quantum electronics on quantum liquids and solids, arXiv , 2406.15870 (2024)

    work page arXiv 2024

  44. [44]

    Kjaergaard, M

    M. Kjaergaard, M. E. Schwartz, J. Braumller, P . Krantz, J. I.-J. Wang, S. Gustavsson, and W. D. Oliver, Superconducting qubits: Current state of play, Annu. Rev. Condens. Matter Phys. 11, 369 (2020)

    work page 2020

  45. [45]

    P . M. Platzman and M. I. Dykman, Quantum computing with electrons floating on liquid helium, Science 284, 1967 (1999)

    work page 1967

  46. [46]

    M. M. Nieto, Electrons above a helium surface and the one- dimensional Rydberg atom, Phys. Rev. A 61, 034901 (2000)

    work page 2000

  47. [47]

    M. I. Dykman, P . M. Platzman, and P . Seddighrad, Qubits with electrons on liquid helium, Phys. Rev. B 67, 155402 (2003)

    work page 2003

  48. [48]

    Y . P . Monarkha, S. S. Sokolov, A. V . Smorodin, and N. Stu- dart, Decay of excited surface electron states in liquid hel ium and related relaxation phenomena induced by short-wavelen gth ripplons, Low Temp. Phys. 36, 565 (2010)

    work page 2010

  49. [49]

    Kawakami, A

    E. Kawakami, A. Elarabi, and D. Konstantinov, Image-charge detection of the Rydberg states of surface electrons on liqu id helium, Phys. Rev. Lett. 123, 086801 (2019)

    work page 2019

  50. [50]

    Kawakami, A

    E. Kawakami, A. Elarabi, and D. Konstantinov, Relaxation of the excited Rydberg states of surface electrons on liquid helium, Phys. Rev. Lett. 126, 106802 (2021)

    work page 2021

  51. [51]

    Xie, R.-t

    J.-k. Xie, R.-t. Cao, Y .-l. Ren, S.-l. Ma, R. Zhang, and F.-l. Li, High-fidelity quantum memory with floating electrons couple d to superconducting circuits, Phys. Rev. A 110, 052607 (2024)

    work page 2024

  52. [52]

    X. Zhou, G. Koolstra, X. Zhang, G. Yang, X. Han, B. Dizdar, X. Li, R. Divan, W. Guo, K. W. Murch, D. I. Schuster, and D. Jin, Single electrons on solid neon as a solid-state qubit plat- form, Nature 605, 46 (2022)

    work page 2022

  53. [53]

    X. Zhou, X. Li, Q. Chen, G. Koolstra, G. Yang, B. Dizdar, Y . Huang, C. S. Wang, X. Han, X. Zhang, D. I. Schuster, and D. Jin, Electron charge qubit with 0.1 millisecond coherenc e time, Nat. Phys. 20, 116 (2024)

    work page 2024

  54. [54]

    Kanai, D

    T. Kanai, D. Jin, and W. Guo, Single-electron qubits based on quantum ring states on solid neon surface, Phys. Rev. Lett. 132, 250603 (2024)

    work page 2024

  55. [55]

    Zhang, H

    M. Zhang, H. Y . Jia, and L. F. Wei, Jaynes-Cummings models with trapped electrons on liquid helium, Phys. Rev. A 80, 055801 (2009)

    work page 2009

  56. [56]

    D. I. Schuster, A. Fragner, M. I. Dykman, S. A. Lyon, and R. J. Schoelkopf, Proposal for manipulating and detecting spin a nd orbital states of trapped electrons on helium using cavity q uan- tum electrodynamics, Phys. Rev. Lett. 105, 040503 (2010)

    work page 2010

  57. [57]

    G. Yang, A. Fragner, G. Koolstra, L. Ocola, D. A. Czaplewski, R. J. Schoelkopf, and D. I. Schuster, Coupling an ensemble of electrons on superfluid helium to a superconducting circu it, Phys. Rev. X 6, 011031 (2016)

    work page 2016

  58. [58]

    Koolstra, G

    G. Koolstra, G. Yang, and D. I. Schuster, Coupling a single electron on superfluid helium to a superconducting resonato r, Nat. Commun. 10, 5323 (2019)

    work page 2019

  59. [59]

    N. R. Beysengulov, Ø. S. Schøyen, S. D. Bilek, J. B. Flaten, O. Leinonen, M. Hjorth-Jensen, J. Pollanen, H. E. Kris- tiansen, Z. J. Stewart, J. D. Weidman, and A. K. Wilson, Coulomb interaction-driven entanglement of electrons on h e- lium, PRX Quantum 5, 030324 (2024)

    work page 2024

  60. [60]

    S. A. Lyon, Spin-based quantum computing using electrons on liquid helium, Phys. Rev. A 74, 052338 (2006)

    work page 2006

  61. [61]

    Zhang and L

    M. Zhang and L. F. Wei, Spin-orbit couplings between distant electrons trapped individually on liquid helium, Phys. Rev. B 86, 205408 (2012)

    work page 2012

  62. [62]

    M. I. Dykman, O. Asban, Q. Chen, D. Jin, and S. A. Lyon, Spin dynamics in quantum dots on liquid helium, Phys. Rev. B 107, 035437 (2023)

    work page 2023

  63. [63]

    Q. Chen, I. Martin, L. Jiang, and D. Jin, Elec- tron spin coherence on a solid neon surface, Quantum Sci. Technol. 7, 045016 (2022)

    work page 2022

  64. [64]

    F. R. Bradbury, M. Takita, T. M. Gurrieri, K. J. Wilkel, K. Eng , M. S. Carroll, and S. A. Lyon, Efficient clocked electron tran s- fer on superfluid helium, Phys. Rev. Lett. 107, 266803 (2011)

    work page 2011

  65. [65]

    Kawakami, J

    E. Kawakami, J. Chen, M. Benito, and D. Konstantinov, Blueprint for quantum computing using electrons on helium, Phys. Rev. Appl. 20, 054022 (2023)

    work page 2023

  66. [66]

    V . V . Zavyalov, I. I. Smolyaninov, E. A. Zotova, A. S. Borodin, and S. G. Bogomolov, Electron states above the surfaces of solid cryodielectrics for quantum-computing. , J. Low Temp. Phys. 138, 415 (2005)

    work page 2005

  67. [67]

    Jin, Quantum electronics and optics at the interface of solid neon and superfluid helium, Quantum Sci

    D. Jin, Quantum electronics and optics at the interface of solid neon and superfluid helium, Quantum Sci. Technol. 5, 035003 (2020)

    work page 2020

  68. [68]

    Leroux, L

    C. Leroux, L. C. G. Govia, and A. A. Clerk, Enhancing cav- ity quantum electrodynamics via antisqueezing: Synthetic ul- trastrong coupling, Phys. Rev. Lett. 120, 093602 (2018)

    work page 2018

  69. [69]

    W. Qin, A. Miranowicz, P .-B. Li, X.-Y . L¨ u, J. Q. Y ou, and F. Nori, Exponentially enhanced light-matter interaction , coop- erativities, and steady-state entanglement using paramet ric am- plification, Phys. Rev. Lett. 120, 093601 (2018)

    work page 2018

  70. [70]

    W. Ge, B. C. Sawyer, J. W. Britton, K. Jacobs, J. J. Bollinger, and M. Foss-Feig, Trapped ion quantum information processing 7 with squeezed phonons, Phys. Rev. Lett. 122, 030501 (2019)

    work page 2019

  71. [71]

    P .-B. Li, Y . Zhou, W.-B. Gao, and F. Nori, Enhancing spin- phonon and spin-spin interactions using linear resources i n a hybrid quantum system, Phys. Rev. Lett. 125, 153602 (2020)

    work page 2020

  72. [72]

    Groszkowski, H.-K

    P . Groszkowski, H.-K. Lau, C. Leroux, L. C. G. Govia, and A. A. Clerk, Heisenberg-limited spin squeezing via bosonic parametric driving, Phys. Rev. Lett. 125, 203601 (2020)

    work page 2020

  73. [73]

    Y .-H. Chen, W. Qin, X. Wang, A. Miranowicz, and F. Nori, Shortcuts to adiabaticity for the quantum Rabi model: Effici ent generation of giant entangled cat states via parametric amp lifi- cation, Phys. Rev. Lett. 126, 023602 (2021)

    work page 2021

  74. [74]

    S. C. Burd, R. Srinivas, H. M. Knaack, W. Ge, A. C. Wilson, D. J. Wineland, D. Leibfried, J. J. Bollinger, D. T. C. Allcoc k, and D. H. Slichter, Quantum amplification of boson-mediated interactions, Nat. Phys. 17, 898 (2021)

    work page 2021

  75. [75]

    X.-Y . L¨ u, Y . Wu, J. R. Johansson, H. Jing, J. Zhang, and F. Nori, Squeezed optomechanics with phase-matched ampli- fication and dissipation, Phys. Rev. Lett. 114, 093602 (2015)

    work page 2015

  76. [76]

    Lemonde, N

    M.-A. Lemonde, N. Didier, and A. A. Clerk, Enhanced non- linear interactions in quantum optomechanics via mechanic al amplification, Nat. Commun. 7, 11338 (2016)

    work page 2016

  77. [77]

    See Supplementary Material at http://xxx for detailed derivations of our main results

    work page

  78. [78]

    J. Xu, C. Zhong, S. Zhuang, C. Qian, Y . Jiang, A. Pishe- hvar, X. Han, D. Jin, J. M. Jornet, B. Zhen, J. Hu, L. Jiang, and X. Zhang, Slow-wave hybrid magnonics, Phys. Rev. Lett. 132, 116701 (2024)

    work page 2024

  79. [79]

    S. C. Burd, R. Srinivas, J. J. Bollinger, A. C. Wilson, D. J. Wineland, D. Leibfried, D. H. Slichter, and D. T. C. All- cock, Quantum amplification of mechanical oscillator motio n, Science 364, 1163 (2019)

    work page 2019

  80. [80]

    Blais, A

    A. Blais, A. L. Grimsmo, S. M. Girvin, and A. Wallraff, Circui t quantum electrodynamics, Rev. Mod. Phys. 93, 025005 (2021)

    work page 2021

Showing first 80 references.