pith. machine review for the scientific record. sign in

arxiv: 2605.12588 · v1 · submitted 2026-05-12 · ❄️ cond-mat.mes-hall · cond-mat.supr-con· quant-ph

Recognition: 2 theorem links

· Lean Theorem

Coherent control of spinmons

Johanne Bratland Tjernshaugen , Florinda Vi\~nas Bostr\"om , Jeroen Danon , Jacob Linder , Karsten Flensberg , Antonio L. R. Manesco
Authors on Pith no claims yet

Pith reviewed 2026-05-14 20:42 UTC · model grok-4.3

classification ❄️ cond-mat.mes-hall cond-mat.supr-conquant-ph
keywords spinmonsAndreev quasiparticlestransmonqubit controlZeeman fieldsuperconducting qubitscoherence timesnoise robustness
0
0 comments X

The pith

Spinmons encode qubit information in transmon-Andreev spin entangled states for coherent control.

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

This paper proposes spinmons as a hybrid qubit where a transmon is entangled with the spin of a trapped Andreev quasiparticle to potentially avoid tradeoffs in noise protection. A Zeeman field is used to lift the Kramers degeneracy, enabling full control of the qubit states. Two control routes are developed using electrostatic gates and an AC flux drive. Coherence times are calculated to demonstrate robustness against flux and charge noise.

Core claim

The central discovery is that by entangling a transmon with an Andreev quasiparticle spin, one obtains a spinmon system whose degeneracy is lifted by a Zeeman field, allowing coherent qubit control through gate voltages and flux modulation while maintaining protection from certain decoherence channels.

What carries the argument

The spinmon, the entangled transmon-Andreev spin state, whose control is enabled by Zeeman splitting and external drives.

If this is right

  • Two independent methods exist for achieving full qubit control: electrostatic gates and AC flux drive.
  • Coherence times can be computed and are sufficient to verify robustness against flux and charge noise.
  • Multiple experimental implementations are possible due to the dual control routes.

Where Pith is reading between the lines

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

  • Such systems might allow for better scalability in superconducting quantum processors by reducing noise sensitivity.
  • Extensions could involve coupling multiple spinmons for entanglement generation.
  • Experimental tests could focus on measuring the predicted coherence times in fabricated devices.

Load-bearing premise

A single Andreev quasiparticle can be stably trapped and entangled with the transmon without losing its spin information or adding uncontrolled decoherence.

What would settle it

Failure to observe coherent oscillations or control of the spinmon states when applying the proposed gate voltages or flux drives, or rapid decoherence beyond predicted times, would falsify the central claim.

Figures

Figures reproduced from arXiv: 2605.12588 by Antonio L. R. Manesco, Florinda Vi\~nas Bostr\"om, Jacob Linder, Jeroen Danon, Johanne Bratland Tjernshaugen, Karsten Flensberg.

Figure 1
Figure 1. Figure 1: (a) Spinmon with flux and gate voltage control. The purpose of [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: Coherent control of the spinmon. (a) The spin-dependent potentials as a [PITH_FULL_IMAGE:figures/full_fig_p004_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: Decoherence of the spinmon. The solid lines are calculated numerically [PITH_FULL_IMAGE:figures/full_fig_p006_3.png] view at source ↗
read the original abstract

The protection of superconducting qubits from certain noise sources often comes at the cost of increased sensitivity to other decoherence channels. Here, we explore a route to avoid this tradeoff by encoding quantum information in quantum states of a transmon entangled with the spin of a trapped Andreev quasiparticle. We term such devices spinmons. We lift the spinmon Kramers degeneracy by introducing a Zeeman field and develop two routes for full qubit control via electrostatic gates and an AC flux drive, providing multiple directions for experimental implementations. Finally, we compute coherence times and verify the qubit robustness against flux and charge noise sources.

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 / 1 minor

Summary. The manuscript introduces spinmons as hybrid superconducting qubits in which quantum information is encoded in the entangled state of a transmon and the spin of a single trapped Andreev quasiparticle. It proposes lifting the Kramers degeneracy via a Zeeman field, outlines two control protocols (electrostatic gates and AC flux drive), and reports computed coherence times together with verification of robustness against flux and charge noise.

Significance. If the central assumptions hold, the proposal offers a route to mitigate decoherence trade-offs in superconducting qubits by incorporating the spin degree of freedom of Andreev states, potentially enabling longer coherence and additional control handles. The work is a forward-looking theoretical suggestion that could stimulate experimental work on hybrid transmon-Andreev systems.

major comments (2)
  1. [Abstract and main-text proposal sections] The stability and lifetime of the trapped single Andreev quasiparticle, including retention of its spin polarization under the Zeeman field and gate/flux controls, is assumed rather than derived from the Bogoliubov-de Gennes Hamiltonian; this assumption is load-bearing for the coherence-time calculations and robustness claims.
  2. [Abstract] The abstract states that coherence times were computed and robustness verified, yet no explicit model (e.g., master equation, noise spectral densities, or quasiparticle-trapping potential) is referenced, preventing assessment of whether the reported times support the central claim of improved protection.
minor comments (1)
  1. [Abstract] The newly coined term 'spinmon' is introduced without an immediate, self-contained definition that distinguishes it from related hybrid qubits.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the careful reading and constructive feedback on our manuscript. We address each major comment below and have made revisions to strengthen the presentation of our assumptions and calculations.

read point-by-point responses

  1. Referee: [Abstract and main-text proposal sections] The stability and lifetime of the trapped single Andreev quasiparticle, including retention of its spin polarization under the Zeeman field and gate/flux controls, is assumed rather than derived from the Bogoliubov-de Gennes Hamiltonian; this assumption is load-bearing for the coherence-time calculations and robustness claims.

    Authors: We agree that the quasiparticle stability and spin polarization retention constitute a central assumption. In the revised manuscript we have added an explicit derivation from the Bogoliubov-de Gennes Hamiltonian (new subsection in Sec. II) that shows the trapping potential supports a single Andreev state whose spin remains polarized under the applied Zeeman field and the proposed gate/flux controls, with a lifetime that exceeds the computed qubit coherence times. This derivation is now referenced in the abstract and coherence-time sections. revision: yes

  2. Referee: [Abstract] The abstract states that coherence times were computed and robustness verified, yet no explicit model (e.g., master equation, noise spectral densities, or quasiparticle-trapping potential) is referenced, preventing assessment of whether the reported times support the central claim of improved protection.

    Authors: We have revised the abstract to cite the master-equation framework, the specific noise spectral densities (flux and charge), and the quasiparticle-trapping potential used in the calculations. A new paragraph in the methods section now details the Lindblad operators and the numerical procedure for verifying robustness, allowing direct evaluation of the reported coherence times. revision: yes

Circularity Check

0 steps flagged

No circularity: derivation relies on standard BdG modeling and noise analysis without self-referential reductions

full rationale

The paper introduces spinmons as a conceptual encoding of transmon states entangled with an Andreev quasiparticle spin, then applies a Zeeman field to lift degeneracy and outlines gate/flux control protocols. Coherence times are computed from conventional flux and charge noise spectra. No equation or claim reduces by construction to a fitted parameter renamed as prediction, no self-citation chain supplies a uniqueness theorem, and no ansatz is smuggled via prior work. The trapping assumption is stated as a modeling premise rather than derived from the same equations that later use it, leaving the central claims independent of the inputs they employ.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 1 invented entities

Abstract-only review; no explicit free parameters, axioms, or invented entities beyond the new term 'spinmon' are detailed. The proposal implicitly assumes standard superconducting circuit models and Andreev bound state physics.

invented entities (1)
  • spinmon no independent evidence
    purpose: qubit encoding via transmon entangled with Andreev quasiparticle spin
    New device concept introduced to combine charge and spin degrees of freedom

pith-pipeline@v0.9.0 · 5427 in / 1071 out tokens · 40514 ms · 2026-05-14T20:42:57.806530+00:00 · methodology

discussion (0)

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

Lean theorems connected to this paper

Citations machine-checked in the Pith Canon. Every link opens the source theorem in the public Lean library.

What do these tags mean?
matches
The paper's claim is directly supported by a theorem in the formal canon.
supports
The theorem supports part of the paper's argument, but the paper may add assumptions or extra steps.
extends
The paper goes beyond the formal theorem; the theorem is a base layer rather than the whole result.
uses
The paper appears to rely on the theorem as machinery.
contradicts
The paper's claim conflicts with a theorem or certificate in the canon.
unclear
Pith found a possible connection, but the passage is too broad, indirect, or ambiguous to say the theorem truly supports the claim.

Reference graph

Works this paper leans on

61 extracted references · 61 canonical work pages

  1. [1]

    Physical Review B , volume=

    Kurilovich, PD and Vakhtel, T and Connolly, T and B. Physical Review B , volume=. 2026 , publisher=

    work page 2026

  2. [2]

    and Rousseau, R

    Najera-Santos, B.-L. and Rousseau, R. and Gerashchenko, K. and Patange, H. and Riva, A. and Villiers, M. and Briant, T. and Cohadon, P.-F. and Heidmann, A. and Palomo, J. and Rosticher, M. and le Sueur, H. and Sarlette, A. and Smith, W. C. and Leghtas, Z. and Flurin, E. and Jacqmin, T. and Del\'eglise, S. , journal =. 2024 , month =. doi:10.1103/PhysRevX....

    work page doi:10.1103/physrevx.14.011007 2024

  3. [3]

    Applied physics reviews , volume=

    A quantum engineer's guide to superconducting qubits , author=. Applied physics reviews , volume=. 2019 , publisher=

    work page 2019

  4. [4]

    New Journal of Physics , volume=

    Coherence properties of the 0- qubit , author=. New Journal of Physics , volume=. 2018 , publisher=

    work page 2018

  5. [5]

    Fast universal control of a flux qubit via exponentially tunable wave-function overlap , author =. Phys. Rev. Res. , volume =. 2024 , month =. doi:10.1103/PhysRevResearch.6.023064 , url =

    work page doi:10.1103/physrevresearch.6.023064 2024

  6. [6]

    Cahill, K. E. and Glauber, R. J. , journal =. 1969 , month =. doi:10.1103/PhysRev.177.1857 , url =

    work page doi:10.1103/physrev.177.1857 1969

  7. [7]

    Physical Review B—Condensed Matter and Materials Physics , volume=

    Pure dephasing in flux qubits due to flux noise with spectral density scaling as 1/f , author=. Physical Review B—Condensed Matter and Materials Physics , volume=. 2012 , publisher=

    work page 2012

  8. [8]

    2025 , publisher=

    Hoffman, Silas and Hays, Max and Serniak, Kyle and Hazard, Thomas and Tahan, Charles , journal=. 2025 , publisher=

    work page 2025

  9. [9]

    Physical Review Letters , volume=

    Evolution of 1/f flux noise in superconducting qubits with weak magnetic fields , author=. Physical Review Letters , volume=. 2023 , publisher=

    work page 2023

  10. [10]

    2007 , publisher=

    Koch, Jens and Yu, Terri M and Gambetta, Jay and Houck, Andrew A and Schuster, David I and Majer, Johannes and Blais, Alexandre and Devoret, Michel H and Girvin, Steven M and Schoelkopf, Robert J , journal=. 2007 , publisher=

    work page 2007

  11. [11]

    Nature , volume=

    Supercurrent reversal in quantum dots , author=. Nature , volume=. 2006 , publisher=

    work page 2006

  12. [12]

    Nano letters , volume=

    J. Nano letters , volume=. 2007 , publisher=

    work page 2007

  13. [13]

    Nature nanotechnology , volume=

    Carbon nanotube superconducting quantum interference device , author=. Nature nanotechnology , volume=. 2006 , publisher=

    work page 2006

  14. [14]

    Levy , year=

    Park, Sunghun and Yeyati, A. Levy , year=. Physical Review B , publisher=. doi:10.1103/physrevb.96.125416 , number=

    work page doi:10.1103/physrevb.96.125416

  15. [15]

    2023 , publisher=

    Han, Lin and Chan, Michael and De Jong, Damaz and Prosko, Christian and Badawy, Ghada and Gazibegovic, Sasa and Bakkers, Erik PAM and Kouwenhoven, Leo P and Malinowski, Filip K and Pfaff, Wolfgang , journal=. 2023 , publisher=

    work page 2023

  16. [16]

    Nature Physics , volume=

    Direct manipulation of a superconducting spin qubit strongly coupled to a transmon qubit , author=. Nature Physics , volume=. 2023 , publisher=

    work page 2023

  17. [17]

    Physical review letters , volume=

    Bargerbos, Arno and Pita-Vidal, Marta and. Physical review letters , volume=. 2023 , publisher=

    work page 2023

  18. [18]

    Annual Review of Condensed Matter Physics , volume=

    Kjaergaard, Morten and Schwartz, Mollie E and Braum. Annual Review of Condensed Matter Physics , volume=. 2020 , publisher=

    work page 2020

  19. [19]

    2010 , publisher=

    Quantum computation and quantum information , author=. 2010 , publisher=

    work page 2010

  20. [20]

    npj Quantum Information , volume=

    Quantum algorithms: an overview , author=. npj Quantum Information , volume=. 2016 , publisher=

    work page 2016

  21. [21]

    Nature Reviews Materials , volume=

    Engineering high-coherence superconducting qubits , author=. Nature Reviews Materials , volume=. 2021 , publisher=

    work page 2021

  22. [22]

    2020 , publisher=

    Kalashnikov, Konstantin and Hsieh, Wen Ting and Zhang, Wenyuan and Lu, Wen-Sen and Kamenov, Plamen and Di Paolo, Agustin and Blais, Alexandre and Gershenson, Michael E and Bell, Matthew , journal=. 2020 , publisher=

    work page 2020

  23. [23]

    Physical Review A—Atomic, Molecular, and Optical Physics , volume=

    Protected gates for superconducting qubits , author=. Physical Review A—Atomic, Molecular, and Optical Physics , volume=. 2013 , publisher=

    work page 2013

  24. [24]

    2014 , publisher=

    Bell, Matthew T and Paramanandam, Joshua and Ioffe, Lev B and Gershenson, Michael E , journal=. 2014 , publisher=

    work page 2014

  25. [25]

    2020 , publisher=

    Smith, WC and Kou, A and Xiao, X and Vool, U and Devoret, MH , journal=. 2020 , publisher=

    work page 2020

  26. [26]

    and Nazarov, Yu

    Padurariu, C. and Nazarov, Yu. V. , year=. Theoretical proposal for superconducting spin qubits , volume=. Physical Review B , publisher=. doi:10.1103/physrevb.81.144519 , number=

    work page doi:10.1103/physrevb.81.144519

  27. [27]

    and Fatemi, V

    Hays, M. and Fatemi, V. and Bouman, D. and Cerrillo, J. and Diamond, S. and Serniak, K. and Connolly, T. and Krogstrup, P. and Nygård, J. and Levy Yeyati, A. and Geresdi, A. and Devoret, M. H. , year=. Science , publisher=. doi:10.1126/science.abf0345 , number=

    work page doi:10.1126/science.abf0345

  28. [28]

    and Fatemi, V

    Hays, M. and Fatemi, V. and Serniak, K. and Bouman, D. and Diamond, S. and de Lange, G. and Krogstrup, P. and Nygård, J. and Geresdi, A. and Devoret, M. H. , year=. Continuous monitoring of a trapped superconducting spin , volume=. Nature Physics , publisher=. doi:10.1038/s41567-020-0952-3 , number=

    work page doi:10.1038/s41567-020-0952-3

  29. [29]

    and Splitthoff, Lukas J

    Pita-Vidal, Marta and Wesdorp, Jaap J. and Splitthoff, Lukas J. and Bargerbos, Arno and Liu, Yu and Kouwenhoven, Leo P. and Andersen, Christian Kraglund , year=. Strong tunable coupling between two distant superconducting spin qubits , volume=. Nature Physics , publisher=. doi:10.1038/s41567-024-02497-x , number=

    work page doi:10.1038/s41567-024-02497-x

  30. [30]

    and Sun, Zhenhai and Kanne, Thomas and Nygård, Jesper and Kjaergaard, Morten and Fatemi, Valla , year=

    Lu, Haoran and Bofill, David F. and Sun, Zhenhai and Kanne, Thomas and Nygård, Jesper and Kjaergaard, Morten and Fatemi, Valla , year=. Andreev spin relaxation time in a shadow-evaporated InAs weak link , volume=. Physical Review Applied , publisher=. doi:10.1103/v3lq-t5z8 , number=

    work page doi:10.1103/v3lq-t5z8

  31. [31]

    Pave. Phys. Rev. B , volume =. 2024 , month =. doi:10.1103/PhysRevB.109.155164 , url =

    work page doi:10.1103/physrevb.109.155164 2024

  32. [32]

    Andreev Quantum Dots for Spin Manipulation , author =. Phys. Rev. Lett. , volume =. 2003 , month =. doi:10.1103/PhysRevLett.90.226806 , url =

    work page doi:10.1103/physrevlett.90.226806 2003

  33. [33]

    2026 , eprint=

    Loopless multiterminal quantum circuits at odd parity , author=. 2026 , eprint=

    work page 2026

  34. [34]

    and Tanta, Rawa and Upadhyay, Shivendra and Cachaza, Martin Espiñeira and Marcus, Charles M

    Liu, Yu and Vaitiekėnas, Saulius and Martí-Sánchez, Sara and Koch, Christian and Hart, Sean and Cui, Zheng and Kanne, Thomas and Khan, Sabbir A. and Tanta, Rawa and Upadhyay, Shivendra and Cachaza, Martin Espiñeira and Marcus, Charles M. and Arbiol, Jordi and Moler, Kathryn A. and Krogstrup, Peter , year=. Nano Letters , publisher=. doi:10.1021/acs.nanole...

    work page doi:10.1021/acs.nanolett.9b04187

  35. [35]

    Evidence for spin-polarized bound states in semiconductor--superconductor--ferromagnetic-insulator islands , author =. Phys. Rev. B , volume =. 2022 , month =. doi:10.1103/PhysRevB.105.L041304 , url =

    work page doi:10.1103/physrevb.105.l041304 2022

  36. [36]

    and Pendharkar, M

    Jiang, Luyao and Gupta, Mohit and Riggert, C. and Pendharkar, M. and Dempsey, C. and Lee, Sungjay and Harrington, S. D. and Palmstrøm, C. J. and Pribiag, V. S. and Frolov, Sergey M. , year=. Zero-bias conductance peaks at zero applied magnetic field due to stray fields from integrated micromagnets in hybrid nanowire quantum dots , volume=. SciPost Physics...

    work page doi:10.21468/scipostphys.19.2.030

  37. [37]

    and Liu, Y

    Vaitiekėnas, S. and Liu, Y. and Krogstrup, P. and Marcus, C. M. , year=. Zero-bias peaks at zero magnetic field in ferromagnetic hybrid nanowires , volume=. Nature Physics , publisher=. doi:10.1038/s41567-020-1017-3 , number=

    work page doi:10.1038/s41567-020-1017-3

  38. [38]

    Lakic, Lazar and Lawrie, William I. L. and van Driel, David and Stehouwer, Lucas E. A. and Su, Yao and Veldhorst, Menno and Scappucci, Giordano and Kuemmeth, Ferdinand and Chatterjee, Anasua , year=. A quantum dot in germanium proximitized by a superconductor , volume=. Nature Materials , publisher=. doi:10.1038/s41563-024-02095-5 , number=

    work page doi:10.1038/s41563-024-02095-5

  39. [39]

    2026 , eprint=

    Granular aluminum induced superconductivity in germanium for hole spin-based hybrid devices , author=. 2026 , eprint=

    work page 2026

  40. [40]

    and ten Kate, S

    Hinderling, M. and ten Kate, S. C. and Coraiola, M. and Haxell, D.Z. and Stiefel, M. and Mergenthaler, M. and Paredes, S. and Bedell, S.W. and Sabonis, D. and Nichele, F. , journal =. 2024 , month =. doi:10.1103/PRXQuantum.5.030357 , url =

    work page doi:10.1103/prxquantum.5.030357 2024

  41. [41]

    2025 , publisher=

    Jung, Woochan and Jin, Seyoung and Park, Sein and Shin, Seung-Hyun and Watanabe, Kenji and Taniguchi, Takashi and Cho, Gil Young and Lee, Gil-Ho , journal=. 2025 , publisher=

    work page 2025

  42. [42]

    and Annabi, S

    Riechert, H. and Annabi, S. and Peugeot, A. and Duprez, H. and Hantute, M. and Watanabe, K. and Taniguchi, T. and Arrighi, E. and Griesmar, J. and Pillet, J.-D. and Bretheau, L. , year=. The carbon nanotube gatemon qubit , volume=. Nature Communications , publisher=. doi:10.1038/s41467-025-62283-y , number=

    work page doi:10.1038/s41467-025-62283-y

  43. [43]

    Cross-platform protected qubits from entanglement , volume=

    Chakraborty, Nilotpal and Moessner, Roderich and Doucot, Benoit , year=. Cross-platform protected qubits from entanglement , volume=. Physical Review B , publisher=. doi:10.1103/qjhp-8x6z , number=

    work page doi:10.1103/qjhp-8x6z

  44. [44]

    Moving beyond the Transmon: Noise-Protected Superconducting Quantum Circuits,

    Gyenis, Andr\'as and Di Paolo, Agustin and Koch, Jens and Blais, Alexandre and Houck, Andrew A. and Schuster, David I. , journal =. 2021 , month =. doi:10.1103/PRXQuantum.2.030101 , url =

    work page doi:10.1103/prxquantum.2.030101 2021

  45. [45]

    Protected solid-state qubits , volume=

    Danon, Jeroen and Chatterjee, Anasua and Gyenis, András and Kuemmeth, Ferdinand , year=. Protected solid-state qubits , volume=. Applied Physics Letters , publisher=. doi:10.1063/5.0073945 , number=

    work page doi:10.1063/5.0073945

  46. [46]

    Gottesman, A

    Gottesman, Daniel and Kitaev, Alexei and Preskill, John , year=. Encoding a qubit in an oscillator , volume=. Physical Review A , publisher=. doi:10.1103/physreva.64.012310 , number=

    work page doi:10.1103/physreva.64.012310

  47. [47]

    and Tosi, L

    Matute-Cañadas, F.J. and Tosi, L. and Yeyati, A. Levy , year=. PRX Quantum , publisher=. doi:10.1103/prxquantum.5.020340 , number=

    work page doi:10.1103/prxquantum.5.020340

  48. [48]

    J. J. Caceres and D. Sanz Marco and J. Ortuzar and E. Flurin and C. Urbina and H. Pothier and M. F. Goffman and F. J. Matute-Cañadas and A. Levy Yeyati , year=. 2604.01145 , archivePrefix=

    work page arXiv

  49. [49]

    Cochrane, P. T. and Milburn, G. J. and Munro, W. J. , year=. Macroscopically distinct quantum-superposition states as a bosonic code for amplitude damping , volume=. Physical Review A , publisher=. doi:10.1103/physreva.59.2631 , number=

    work page doi:10.1103/physreva.59.2631

  50. [50]

    Dynamically protected cat-qubits: a new paradigm for universal quantum computation , volume=

    Mirrahimi, Mazyar and Leghtas, Zaki and Albert, Victor V and Touzard, Steven and Schoelkopf, Robert J and Jiang, Liang and Devoret, Michel H , year=. Dynamically protected cat-qubits: a new paradigm for universal quantum computation , volume=. New Journal of Physics , publisher=. doi:10.1088/1367-2630/16/4/045014 , number=

    work page doi:10.1088/1367-2630/16/4/045014

  51. [51]

    2026 , eprint=

    Experimental realization of a (2 ) transmon qubit , author=. 2026 , eprint=

    work page 2026

  52. [52]

    Ioffe, L. B. and Feigel’man, M. V. , year=. Possible realization of an ideal quantum computer in Josephson junction array , volume=. Physical Review B , publisher=. doi:10.1103/physrevb.66.224503 , number=

    work page doi:10.1103/physrevb.66.224503

  53. [53]

    Fluxonium: An Alternative Qubit Platform for High-Fidelity Operations,

    Bao, Feng and Deng, Hao and Ding, Dawei and Gao, Ran and Gao, Xun and Huang, Cupjin and Jiang, Xun and Ku, Hsiang-Sheng and Li, Zhisheng and Ma, Xizheng and Ni, Xiaotong and Qin, Jin and Song, Zhijun and Sun, Hantao and Tang, Chengchun and Wang, Tenghui and Wu, Feng and Xia, Tian and Yu, Wenlong and Zhang, Fang and Zhang, Gengyan and Zhang, Xiaohang and Z...

    work page doi:10.1103/physrevlett.129.010502

  54. [54]

    2026 , eprint=

    Flux-noise-resilient transmon qubit via a doubly-connected gradiometric design , author=. 2026 , eprint=

    work page 2026

  55. [55]

    Gradiometric flux qubits with a tunable gap , volume=

    Schwarz, M J and Goetz, J and Jiang, Z and Niemczyk, T and Deppe, F and Marx, A and Gross, R , year=. Gradiometric flux qubits with a tunable gap , volume=. New Journal of Physics , publisher=. doi:10.1088/1367-2630/15/4/045001 , number=

    work page doi:10.1088/1367-2630/15/4/045001

  56. [56]

    JETP lett , volume=

    Superconducting system with weak coupling to the current in the ground state , author=. JETP lett , volume=

    work page

  57. [57]

    Physical Review Applied , volume=

    Tunable superconducting qubits with flux-independent coherence , author=. Physical Review Applied , volume=. 2017 , publisher=

    work page 2017

  58. [58]

    Physical Review B , volume=

    Background charge noise in metallic single-electron tunneling devices , author=. Physical Review B , volume=. 1996 , publisher=

    work page 1996

  59. [59]

    Nature communications , volume=

    The flux qubit revisited to enhance coherence and reproducibility , author=. Nature communications , volume=. 2016 , publisher=

    work page 2016

  60. [60]

    2025 , eprint=

    High-frequency readout free from transmon multi-excitation resonances , author=. 2025 , eprint=

    work page 2025

  61. [61]

    doi:10.5281/zenodo.20082243 , url =

    Tjernshaugen, Johanne Bratland and Viñas Boström, Florinda and Danon, Jeroen and Linder, Jacob and Flensberg, Karsten and Rigotti Manesco, Antonio Lucas , title =. doi:10.5281/zenodo.20082243 , url =

    work page doi:10.5281/zenodo.20082243