pith. sign in

arxiv: 2604.13644 · v1 · submitted 2026-04-15 · 🪐 quant-ph · cond-mat.mes-hall

Theory of spin qubits and the path to scalability

Pith reviewed 2026-05-10 12:48 UTC · model grok-4.3

classification 🪐 quant-ph cond-mat.mes-hall
keywords spin qubitsquantum computingscalabilitysemiconductor heterostructureslong-range couplingcircuit QEDspin shuttling
0
0 comments X

The pith

Spin qubits achieve long-range coupling and scalability using semiconductor-compatible mechanisms such as circuit QED hybrids and spin shuttling.

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

The paper reviews multiple spin-qubit implementations in semiconductors and shows how confinement and strain create addressable spin states suitable for encoding quantum information. It examines theoretical and experimental work on connecting distant qubits through hybrid circuit quantum electrodynamics, Andreev qubits, shuttling, and topological textures. These approaches leverage existing semiconductor fabrication to avoid the need for entirely new hardware platforms. If the reviewed methods extend successfully, they would enable dense, coherent qubit arrays that integrate directly with conventional electronics.

Core claim

Spin qubits encoded in single-electron spins, hole spins, donor atoms, or multispin states within semiconductor heterostructures possess long coherence times and small footprints; proposed long-range coupling schemes based on circuit QED, Andreev bound states, spin shuttling, and topological spin textures supply the interactions required to build large-scale processors.

What carries the argument

Long-range coupling mechanisms (hybrid circuit QED, Andreev qubits, spin shuttling, and topological spin textures) that connect distant spin qubits while preserving coherence.

If this is right

  • Semiconductor spin qubits can be fabricated in existing industrial foundries, enabling mass production of quantum chips.
  • Hybrid approaches combining spin qubits with superconducting resonators allow microwave-mediated interactions over millimeter distances.
  • Spin shuttling provides a way to move quantum information across a chip without requiring direct nearest-neighbor gates.
  • Topological spin textures offer a route to protected long-range links that may reduce sensitivity to local noise.

Where Pith is reading between the lines

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

  • Failure of any single coupling method would still leave multiple independent pathways to scale, reducing overall risk.
  • The emphasis on compatibility with silicon processing suggests that classical control electronics could be integrated on the same die as the qubits.
  • Extending these ideas to hole spins may further improve speed and reduce sensitivity to certain noise sources compared with electron spins.

Load-bearing premise

The cited experimental demonstrations and theoretical proposals for coupling can be extended to large numbers of qubits without unforeseen losses in coherence or control fidelity.

What would settle it

An experiment that scales a spin-qubit array to tens of qubits using one of the reviewed coupling methods and measures coherence times or gate fidelities that fall below the thresholds required for error correction.

read the original abstract

Spin qubits have emerged as a leading platform for quantum information processing due to their long coherence times, small footprint, and compatibility with the existing semiconductor industry. We first provide an introduction to the different qubit implementations currently being investigated, including single electron-spin qubits, hole-spin qubits, donor qubits, and multispin encodings. We discuss how the confinement and strain present in semiconductor heterostructures produce addressable levels whose spin degree of freedom can be used to encode a qubit. A large emphasis is placed on reviewing the theoretical foundations and recent experimental demonstrations of proposed mechanisms for long-range coupling, including hybrid approaches based on circuit QED and Andreev qubits, as well as spin shuttling. Finally, we review a recent proposal for linking spin qubits using topological spin textures.

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

0 major / 1 minor

Summary. The manuscript is a review article surveying spin qubits as a platform for quantum information processing. It introduces qubit encodings including single-electron spins, hole spins, donor qubits, and multispin systems, explains how semiconductor heterostructure confinement and strain produce addressable spin levels, and reviews theoretical foundations together with experimental demonstrations of long-range coupling via hybrid circuit-QED, Andreev qubits, spin shuttling, and topological spin textures, framing these as routes to scalability.

Significance. As a synthesis of existing literature rather than a source of new derivations or predictions, the review aggregates progress on a leading qubit platform whose coherence, footprint, and CMOS compatibility are already established strengths. By organizing mechanisms for long-range coupling it supplies a compact reference that can help researchers evaluate trade-offs among proposed scalability paths, provided the cited experiments and proposals are represented accurately.

minor comments (1)
  1. The abstract and introduction would benefit from an explicit statement that the work is a review synthesizing prior results rather than presenting original calculations or data.

Simulated Author's Rebuttal

0 responses · 0 unresolved

We thank the referee for their positive review of our manuscript. We appreciate the recognition that the work provides a compact reference for evaluating trade-offs among scalability paths for spin qubits, and we are pleased with the recommendation to accept.

Circularity Check

0 steps flagged

No circularity: review paper aggregates external literature without original derivations or self-referential reductions

full rationale

This is a review article surveying spin-qubit implementations and long-range coupling mechanisms (circuit QED hybrids, Andreev qubits, shuttling, topological textures). No new equations, predictions, or first-principles derivations are advanced; the text functions as synthesis of cited prior work. Central narrative rests on faithful external citations rather than any internal chain that reduces by construction to fitted inputs, self-definitions, or author-overlapping uniqueness theorems. No load-bearing steps match the enumerated circularity patterns.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

As a review article, the paper does not introduce new free parameters, axioms, or invented entities; it relies on the body of cited experimental and theoretical literature in quantum information and condensed matter physics.

pith-pipeline@v0.9.0 · 5426 in / 1108 out tokens · 28596 ms · 2026-05-10T12:48:29.413430+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

223 extracted references · 223 canonical work pages

  1. [1]

    Ademiet al., arXiv preprint (2025), arXiv:2510.26860

    Adelsberger, C., M. Benito, S. Bosco, J. Klinovaja, and D. Loss (2022), Phys. Rev. B105(7), 075308. Ademi, Z., M. Bassi, C. X. Yu, S. D. Oosterhout, Y. Matsumoto, S. L. de Snoo, A. Sammak, L. M. K. Vandersypen, G. Scappucci, C. Déprez,et al.(2025), arXiv preprint arXiv:2510.26860. Amasha, S., K. MacLean, I. P. Radu, D. M. Zumbühl, M. A. Kastner, M. P. Han...

  2. [2]

    Dreiser, A

    Atature, M., J. Dreiser, A. Badolato, A. Hogele, K. Karrai, and A. Imamoglu (2006), Science312(5773),

  3. [3]

    Loss (2002),Semiconductor spintronics and quantum computation(Springer Science & Business Media)

    Awschalom, D., and D. Loss (2002),Semiconductor spintronics and quantum computation(Springer Science & Business Media). Baart, T. A., M. Shafiei, T. Fujita, C. Reichl, W. Wegscheider, and L. M. K. Vandersypen (2016), Nat. Nanotechnol. 11(4),

  4. [4]

    Bagwell, P. F. (1992), Phys. Rev. B46(19), 12573. Bargerbos, A., M. Pita-Vidal, R. Žitko, J. Ávila, L. J. Splitthoff, L. Grünhaupt, J. J. Wesdorp, C. K. Andersen, Y. Liu, L. P. Kouwenhoven,et al.(2022), PRX Quantum3(3), 030311. Barros, A. D., P. D. Batista, A. Tahraoui, J. A. Diniz, and P. V. Santos (2012), J. Appl. Phys.112(1). Barthel, C., M. Kjærgaard,...

  5. [5]

    Lachance-Quirion, W

    Beaudoin, F., D. Lachance-Quirion, W. A. Coish, and M. Pioro-Ladrière (2016), Nanotechnology27(46), 464003. Becke, A. D. (1993), J. Chem. Phys.98(2),

  6. [6]

    G., and K

    Bednorz, J. G., and K. A. Müller (1986), Z. Phys. B64(2),

  7. [7]

    Beenakker, C. W. J. (1991), Phys. Rev. Lett.67(27),

  8. [8]

    Beenakker, C. W. J., and H. Van Houten (1991), Phys. Rev. Lett.66(23),

  9. [9]

    Croot, C

    Benito, M., X. Croot, C. Adelsberger, S. Putz, X. Mi, J. R. Petta, and G. Burkard (2019a), Phys. Rev. B100(12), 125430. Benito, M., X. Mi, J. M. Taylor, J. R. Petta, and G. Burkard (2017), Phys. Rev. B96(23), 235434. Benito, M., J. R. Petta, and G. Burkard (2019b), Phys. Rev. B100(8), 081412. Berezovsky, J., M. Mikkelsen, N. G. Stoltz, L. A. Coldren, and ...

  10. [10]

    Bergli, J., Y. M. Galperin, and B. Altshuler (2009), New J. Phys.11(2), 025002. Beri, B., J. H. Bardarson, and C. W. J. Beenakker (2008), Phys. Rev. B77(4), 045311. Bertrand, B., S.Hermelin, S.Takada, M.Yamamoto, S.Tarucha, A.Ludwig, A.D.Wieck, C.Bäuerle, andT.Meunier (2016), Nat. Nanotechnol.11(8),

  11. [11]

    L., and G

    Bir, G. L., and G. E. Pikus (1974),Symmetry and strain-induced effects in semiconductors(Wiley). Blais, A., J. Gambetta, A. Wallraff, D. I. Schuster, S. M. Girvin, M. H. Devoret, and R. J. Schoelkopf (2007), Phys. Rev. A75(3), 032329. Blais, A., A. L. Grimsmo, S. M. Girvin, and A. Wallraff (2021), Rev. Mod. Phys.93(2), 025005. Blais, A., R.-S. Huang, A. W...

  12. [12]

    (1929), Zeitschrift für physik52(7),

    Bloch, F. (1929), Zeitschrift für physik52(7),

  13. [13]

    Foletti, D

    Bluhm, H., S. Foletti, D. Mahalu, V. Umansky, and A. Yacoby (2010), Phys. Rev. Lett.105(21), 216803. Bluhm, H., S. Foletti, I. Neder, M. Rudner, D. Mahalu, V. Umansky, and A. Yacoby (2011), Nat. Phys.7(2),

  14. [14]

    Bluvstein, D., S. J. Evered, A. A. Geim, S. H. Li, H. Zhou, T. Manovitz, S. Ebadi, M. Cain, M. Kalinowski, D. Hangleiter,et al.(2024), Nature626(7997),

  15. [15]

    Levine, G

    Bluvstein, D., H. Levine, G. Semeghini, T. T. Wang, S. Ebadi, M. Kalinowski, A. Keesling, N. Maskara, H. Pichler, M. Greiner,et al.(2022), Nature604(7906),

  16. [16]

    Bonesteel, N. E., D. Stepanenko, and D. P. DiVincenzo (2001), Phys. Rev. Lett.87(20), 207901. Borjans, F., X. G. Croot, X. Mi, M. J. Gullans, and J. R. Petta (2020), Nature577(7789),

  17. [17]

    Mi, and J

    Borjans, F., X. Mi, and J. R. Petta (2021), Phys. Rev. Appl.15(4), 044052. Born, M., and R. Oppenheimer (1927), Ann. Phys. (Berlin)389(20),

  18. [18]

    Borselli, M. G., K. Eng, E. T. Croke, B. M. Maune, B. Huang, R. S. Ross, A. A. Kiselev, P. W. Deelman, I. Alvarado- Rodriguez, A. E. Schmitz,et al.(2011), Appl. Phys. Lett.99(6). Borsoi, F., N. W. Hendrickx, V. John, M. Meyer, S. Motz, F. Van Riggelen, A. Sammak, S. L. De Snoo, G. Scappucci, and M. Veldhorst (2024), Nat. Nanotechnol.19(1),

  19. [19]

    Hetényi, and D

    Bosco, S., B. Hetényi, and D. Loss (2021), PRX Quantum2(1), 010348. Bosco, S., and D. Loss (2021), Phys. Rev. Lett.127(19), 190501. Bosco, S., and M. Rimbach-Russ (2026), Phys. Rev. Appl. , . Bosco, S., P. Scarlino, J. Klinovaja, and D. Loss (2022), Phys. Rev. Lett.129(6), 066801. Bosco, S., J. Zou, and D. Loss (2024), PRX Quantum5(2), 020353. Boter, J. M...

  20. [20]

    Bouckaert, L. P., R. Smoluchowski, and E. Wigner (1936), Phys. Rev.50(1),

  21. [21]

    Boykin, T. B., G. Klimeck, and F. Oyafuso (2004), Phys. Rev. B69(11), 115201. Braak, D. (2011), Phys. Rev. Lett.107(10), 100401. Bradley, C., and A. Cracknell (2009),The mathematical theory of symmetry in solids: representation theory for point groups and space groups(Oxford University Press). Braunecker, B., P. Simon, and D. Loss (2009), Phys. Rev. B80(1...

  22. [22]

    (2013),Localized excitations in superconducting atomic contacts: Probing the Andreev doublet, Ph.D

    Bretheau, L. (2013),Localized excitations in superconducting atomic contacts: Probing the Andreev doublet, Ph.D. thesis (Ecole Polytechnique X). Broome, M. A., S. K. Gorman, M. G. House, S. J. Hile, J. G. Keizer, D. Keith, C. D. Hill, T. F. Watson, W. J. Baker, L. C. L. Hollenberg,et al.(2018), Nat. Commun.9(1),

  23. [23]

    46 Broome, M. A., T. F. Watson, D. Keith, S. K. Gorman, M. G. House, J. G. Keizer, S. J. Hile, W. Baker, and M. Y. Simmons (2017), Phys. Rev. Lett.119(4), 046802. Brunner, D., B. D. Gerardot, P. A. Dalgarno, G. Wüst, K. Karrai, N. G. Stoltz, P. M. Petroff, and R. J. Warburton (2009), Science325(5936),

  24. [24]

    Brunner, R., Y.-S. Shin, T. Obata, M. Pioro-Ladrière, T. Kubo, K. Yoshida, T. Taniyama, Y. Tokura, and S. Tarucha (2011a), Phys. Rev. Lett.107, 146801. Brunner, R., Y.-S. Shin, T. Obata, M. Pioro-Ladrière, T. Kubo, K. Yoshida, T. Taniyama, Y. Tokura, and S. Tarucha (2011b), Phys. Rev. Lett.107(14), 146801. Bruzewicz, C. D., J. Chiaverini, R. McConnell, an...

  25. [25]

    Burkard, G., M. J. Gullans, X. Mi, and J. R. Petta (2020), Nat. Rev. Phys.2(3),

  26. [26]

    Imamoglu (2006), Phys

    Burkard, G., and A. Imamoglu (2006), Phys. Rev. B74(4), 041307. Burkard, G., T. D. Ladd, A. Pan, J. M. Nichol, and J. R. Petta (2023), Rev. Mod. Phys.95(2), 025003. Burkard, G., D. Loss, and D. P. DiVincenzo (1999), Phys. Rev. B59(3),

  27. [27]

    Vratzov, J

    Büyükköse, S., B. Vratzov, J. van der Veen, P. V. Santos, and W. G. van der Wiel (2013), Appl. Phys. Lett.102(1). Bychkov, Y. A., and E. I. Rashba (1984), Phys. C Solid State Phys.17(33),

  28. [28]

    Siegel, and S

    Cai, Z., A. Siegel, and S. Benjamin (2023), PRX Quantum4(2), 020345. Camenzind, L. C., S. Geyer, A. Fuhrer, R. J. Warburton, D. M. Zumbühl, and A. V. Kuhlmann (2022), Nat. Electron. 5(3),

  29. [29]

    Chadwick, Willers Yang, Joshua Viszlai, and Frederic T

    Caporaletti, J. H., and J. P. Kestner (2025), Phys. Rev. Lett.135, 070803. Cassidy, M. C., A. S. Dzurak, R. G. Clark, K. D. Petersson, I. Farrer, D. A. Ritchie, and C. G. Smith (2007), Appl. Phys. Lett.91(22). Cayao, J., E. Prada, P. San-Jose, and R. Aguado (2015), Phys. Rev. B91(2), 024514. Cerletti, V., W. Coish, O. Gywat, and D. Loss (2005), Nanotechno...

  30. [30]

    Stevenson, S

    Chatterjee, A., P. Stevenson, S. De Franceschi, A. Morello, N. P. de Leon, and F. Kuemmeth (2021), Nat. Rev. Phys. 3(3),

  31. [31]

    Chekhovich, E. A., A. B. Krysa, M. S. Skolnick, and A. I. Tartakovskii (2011), Phys. Rev. Lett.106(2), 027402. Chessari, A., E. A. Rodríguez-Mena, J. C. Abadillo-Uriel, V. Champain, S. Zihlmann, R. Maurand, Y.-M. Niquet, and M. Filippone (2025), Phys. Rev. Lett.134(3), 037003. Cheung, L. Y., R. Haller, A. Kononov, C. Ciaccia, J. H. Ungerer, T. Kanne, J. N...

  32. [32]

    Macaluso, F

    Chiesa, A., E. Macaluso, F. Petiziol, S. Wimberger, P. Santini, and S. Carretta (2020), J. Phys. Chem. Lett.11(20),

  33. [33]

    Sørensen, and M

    Childress, L., A. Sørensen, and M. D. Lukin (2004), Phys. Rev. A69(4), 042302. Chiolero, A., and D. Loss (1997), Phys. Rev. B56(2),

  34. [34]

    Bruder, and D

    Choi, M.-S., C. Bruder, and D. Loss (2000), Phys. Rev. B62(20), 13569. Chow, W. W., and S. W. Koch (2013),Semiconductor-laser fundamentals: Physics of the gain materials(Springer Science & Business Media). Chtchelkatchev, N. M., and Y. V. Nazarov (2003), Phys. Rev. Lett.90(22), 226806. Cohen, M. L., and T. K. Bergstresser (1966), Phys. Rev.141(2),

  35. [35]

    A., and J

    Coish, W. A., and J. Baugh (2009), Phys. Status Solidi B246(10),

  36. [36]

    A., and D

    Coish, W. A., and D. Loss (2004), Phys. Rev. B70, 195340. Coish, W. A., and D. Loss (2007), Phys. Rev. B75, 161302. Colless, J. I., A. C. Mahoney, J. M. Hornibrook, A. C. Doherty, H. Lu, A. C. Gossard, and D. J. Reilly (2013), Phys. Rev. Lett.110(4), 046805. Connors, E. J., J. J. Nelson, and J. M. Nichol (2020), Phys. Rev. Appl.13(2), 024019. Corrigan, J....

  37. [37]

    Cywiński, Ł., R. M. Lutchyn, C. P. Nave, and S. Das Sarma (2008), Phys. Rev. B77(17), 174509. Cywiński, Ł., W. M. Witzel, and S. Das Sarma (2009), Phys. Rev. B79(24), 245314. D’Anjou, B., and G. Burkard (2019), Phys. Rev. B100(24), 245427. De Greve, K., P. L. McMahon, D. Press, T. D. Ladd, D. Bisping, C. Schneider, M. Kamp, L. Worschech, S. Höfling, A. Fo...

  38. [38]

    Van Heck, A

    De Lange, G., B. Van Heck, A. Bruno, D. J. Van Woerkom, A. Geresdi, S. R. Plissard, E. P. A. M. Bakkers, A. R. Akhmerov, and L. DiCarlo (2015), Phys. Rev. Lett.115(12), 127002. De Palma, F., F. Oppliger, W. Jang, S. Bosco, M. Janík, S. Calcaterra, G. Katsaros, G. Isella, D. Loss, and P. Scarlino (2024), Nat. Commun.15(1), 10177. De Smet, M., Y. Matsumoto,...

  39. [39]

    De Vries, F. K., J. Shen, R. J. Skolasinski, M. P. Nowak, D. Varjas, L. Wang, M. Wimmer, J. Ridderbos, F. A. Zwanenburg, A. Li,et al.(2018), Nano Lett.18(10),

  40. [40]

    Bourassa, and A

    Didier, N., J. Bourassa, and A. Blais (2015), Phys. Rev. Lett.115(20), 203601. Dietl, T. (2010), Nat. Mater.9(12),

  41. [41]

    Dijkema, J., X. Xue, P. Harvey-Collard, M. Rimbach-Russ, S. L. de Snoo, G. Zheng, A. Sammak, G. Scappucci, and L. M. K. Vandersypen (2025), Nat. Phys.21(1),

  42. [42]

    Dijkema, J. J., X. Zhang, A. Bardakas, D. Bouman, A. Cuzzocrea, D. van Driel, D. Girardi, L. E. Stehouwer, G. Scappucci, A.-M. J. Zwerver,et al.(2026), arXiv preprint arXiv:2604.01063. DiVincenzo, D. P. (2000), Fortschr. Phys.48(9-11),

  43. [43]

    DiVincenzo, D. P., D. Bacon, J. Kempe, G. Burkard, and K. B. Whaley (2000), Nature408(6810),

  44. [44]

    C., and M

    Doherty, A. C., and M. P. Wardrop (2013), Phys. Rev. Lett.111(5), 050503. Dreiser, J., M. Atatüre, C. Galland, T. Müller, A. Badolato, and A. Imamoglu (2008), Phys. Rev. B77, 075317. Dresselhaus, G. (1955), Phys. Rev.100(2),

  45. [45]

    Dresselhaus, M. S., G. Dresselhaus, and A. Jorio (2007),Group theory: application to the physics of condensed matter (Springer Science & Business Media). Dutt, M. V. G., J. Cheng, B. Li, X. Xu, X. Li, P. R. Berman, D. G. Steel, A. S. Bracker, D. Gammon, S. E. Economou,et al.(2005), Phys. Rev. Lett.94(22), 227403. Eble, B., C. Testelin, P. Desfonds, F. Ber...

  46. [46]

    I., and Y

    Erlingsson, S. I., and Y. V. Nazarov (2002), Phys. Rev. B66, 155327. Fallahi, P., S. Yılmaz, and A. Imamoğlu (2010), Phys. Rev. Lett.105(25), 257402. Fang, Y., P. Philippopoulos, D. Culcer, W. A. Coish, and S. Chesi (2023), Mater. Quantum Technol.3(1), 012003. Fatemi, V., P. D. Kurilovich, M. Hays, D. Bouman, T. Connolly, S. Diamond, N. E. Frattini, V. D....

  47. [47]

    Yoneda, W

    Feng, M., J. Yoneda, W. Huang, Y. Su, T. Tanttu, C. H. Yang, J. D. Cifuentes, K. W. Chan, W. Gilbert, R. C. C. Leon,et al.(2023), Phys. Rev. B107(8), 085427. Fernández-Fernández, D., Y. Matsumoto, L. M. K. Vandersypen, G. Platero, and S. Bosco (2025), arXiv preprint arXiv:2508.08394. Feynman, R. P. (2018), inFeynman and computation(cRc Press) pp. 133–153....

  48. [48]

    Fischer, J., W. A. Coish, D. V. Bulaev, and D. Loss (2008), Phys. Rev. B78(15), 155329. Fischer, J., and D. Loss (2009), Science324(5932),

  49. [49]

    Fischer, J., M. Trif, W. A. Coish, and D. Loss (2009), Solid State Commun.149(35-36),

  50. [50]

    Tserkovnyak (2019), Phys

    Flebus, B., and Y. Tserkovnyak (2019), Phys. Rev. B99(14), 140403. Flentje, H., P.-A. Mortemousque, R. Thalineau, A. Ludwig, A. D. Wieck, C. Bäuerle, and T. Meunier (2017), 48 Nat. Commun.8(1),

  51. [51]

    Fogarty, M. A., K. W. Chan, B. Hensen, W. Huang, T. Tanttu, C. H. Yang, A. Laucht, M. Veldhorst, F. E. Hudson, K. M. Itoh,et al.(2018), Nat. Commun.9(1),

  52. [52]

    Bluhm, D

    Foletti, S., H. Bluhm, D. Mahalu, V. Umansky, and A. Yacoby (2009), Nat. Phys.5(12),

  53. [53]

    Foster, N. D., J. D. Henshaw, M. Rudolph, D. R. Luhman, and R. M. Jock (2025), npj Quantum Inf.11(1),

  54. [54]

    Foulk, N. L., S. Hoffman, K. Laubscher, and S. Das Sarma (2025), Phys. Rev. Lett.135, 106202. Fowler, A. G., M. Mariantoni, J. M. Martinis, and A. N. Cleland (2012), Phys. Rev. A86(3), 032324. Frey, T., P. Leek, M. Beck, A. Blais, T. Ihn, K. Ensslin, and A. Wallraff (2012), Phys. Rev. Lett.108(4), 046807. Fricke, L., S. J. Hile, L. Kranz, Y. Chung, Y. He,...

  55. [55]

    Rugheimer, D

    Friesen, M., P. Rugheimer, D. E. Savage, M. G. Lagally, D. W. van der Weide, R. Joynt, and M. A. Eriksson (2003), Phys. Rev. B67(12), 121301. Froning, F. N. M., L. C. Camenzind, O. A. H. van der Molen, A. Li, E. P. A. M. Bakkers, D. M. Zumbühl, and F. R. Braakman (2021), Nat. Nanotechnol.16(3),

  56. [56]

    Botzem, M

    Fernández de Fuentes, I., T. Botzem, M. A. I. Johnson, A. Vaartjes, S. Asaad, V. Mourik, F. E. Hudson, K. M. Itoh, B. C. Johnson, A. M. Jakob,et al.(2024), Nat. Commun.15(1),

  57. [57]

    Fujita, T., T. A. Baart, C. Reichl, W. Wegscheider, and L. M. K. Vandersypen (2017), npj Quantum Inf.3(1),

  58. [58]

    Furdyna, J. K. (1988), J. Appl. Phys.64(4), R29. Furusaki, A., and M. Tsukada (1991), Phys. Rev. B43(13), 10164. Galperin, Y. M., B. L. Altshuler, J. Bergli, and D. V. Shantsev (2006), Phys. Rev. Lett.96(9), 097009. Gamble, J. K., N. T. Jacobson, E. Nielsen, A. D. Baczewski, J. E. Moussa, I. Montaño, and R. P. Muller (2015), Phys. Rev. B91(23), 235318. Ga...

  59. [59]

    Granger, A

    Gaudreau, L., G. Granger, A. Kam, G. C. Aers, S. A. Studenikin, P. Zawadzki, M. Pioro-Ladrière, Z. R. Wasilewski, and A. S. Sachrajda (2012), Nature Physics8(1),

  60. [60]

    George, H. C., M. T. Madzik, E. M. Henry, A. J. Wagner, M. M. Islam, F. Borjans, E. J. Connors, J. Corrigan, M. Curry, M. K. Harper,et al.(2024), Nano Lett.25(2),

  61. [61]

    Gerardot, B. D., D. Brunner, P. A. Dalgarno, P. Öhberg, S. Seidl, M. Kroner, K. Karrai, N. G. Stoltz, P. M. Petroff, and R. J. Warburton (2008), Nature451(7177),

  62. [62]

    Ginzel, F., A. R. Mills, J. R. Petta, and G. Burkard (2020), Phys. Rev. B102(19), 195418. Glazov, M. M. (2004), Phys. Rev. B70(19), 195314. Golovach, V. N., M. Borhani, and D. Loss (2006), Phys. Rev. B74(16), 165319. Golovach, V. N., A. Khaetskii, and D. Loss (2004), Phys. Rev. Lett.93(1), 016601. Golovach, V. N., A. Khaetskii, and D. Loss (2008), Phys. R...

  63. [63]

    Hassler, and G

    Gonzalez Rosado, L., F. Hassler, and G. Catelani (2021), Phys. Rev. B103(3), 035430. Gottesman, D. (1998), Phys. Rev. A57(1),

  64. [64]

    Zülicke (2002), Phys

    Governale, M., and U. Zülicke (2002), Phys. Rev. B66(7), 073311. Greilich, A., D. R. Yakovlev, A. Shabaev, A. L. Efros, I. A. Yugova, R. Oulton, V. Stavarache, D. Reuter, A. Wieck, and M. Bayer (2006), Science313(5785),

  65. [65]

    Gross, J. A. (2021), Phys. Rev. Lett.127(1), 010504. Gross, J. A., C. Godfrin, A. Blais, and E. Dupont-Ferrier (2024), Phys. Rev. Appl.22(1), 014006. Grosso, G., and G. P. Parravicini (2013),Solid state physics(Academic press). Güngördü, U., R. Ruskov, S. Hoffman, K. Serniak, A. J. Kerman, and C. Tahan (2025), Phys. Rev. B111(21), 214503. Gywat, O., H. J....

  66. [66]

    Hanson, R., L. P. Kouwenhoven, J. R. Petta, S. Tarucha, and L. M. K. Vandersypen (2007), Rev. Mod. Phys.79(4), 1217–1265. Hanson, R., L.H.W.VanBeveren, I.T.Vink, J.M.Elzerman, W.J.M.Naber, F.H.L.Koppens, L.P.Kouwenhoven, 49 and L. M. K. Vandersypen (2005), Phys. Rev. Lett.94(19), 196802. Harpt, B., J. Corrigan, N. Holman, P. Marciniec, D. Rosenberg, D. Yo...

  67. [67]

    Harrison, W. A. (1989),Electronic structure and the properties of solids: the physics of the chemical bond(Courier Corporation). Harvey-Collard, P., J. Dijkema, G. Zheng, A. Sammak, G. Scappucci, and L. M. K. Vandersypen (2022), Phys. Rev. X 12(2), 021026. Harvey-Collard, P., B. D’Anjou, M. Rudolph, N. T. Jacobson, J. Dominguez, G. A. Ten Eyck, J. R. Wend...

  68. [68]

    Harvey-Collard, P., R. M. Jock, N. T. Jacobson, A. D. Baczewski, A. M. Mounce, M. J. Curry, D. R. Ward, J. M. Anderson, R. P. Manginell, J. R. Wendt,et al.(2017b), in2017 IEEE International Electron Devices Meeting (IEDM)(IEEE) pp. 36–5. Hasegawa, H. (1960), Phys. Rev.118(6),

  69. [69]

    Catelani, and H

    Hassler, F., G. Catelani, and H. Bluhm (2015), Phys. Rev. B92, 235401. Hays, M. (2022),Realizing an Andreev spin qubit: Exploring sub-gap structure in Josephson nanowires using circuit QED(Springer Nature). Hays, M., G. De Lange, K. Serniak, D. J. Van Woerkom, D. Bouman, P. Krogstrup, J. Nygård, A. Geresdi, and M. H. Devoret (2018), Phys. Rev. Lett.121(4)...

  70. [70]

    Fatemi, K

    Hays, M., V. Fatemi, K. Serniak, D. Bouman, S. Diamond, G. de Lange, P. Krogstrup, J. Nygård, A. Geresdi, and M. H. Devoret (2020), Nat. Phys.16(11),

  71. [71]

    He, Y., S. K. Gorman, D. Keith, L. Kranz, J. G. Keizer, and M. Y. Simmons (2019), Nature571(7765),

  72. [72]

    Heine, V., and I. V. Abarenkov (1964), Philosophical Magazine9(99),

  73. [73]

    Hendrickx, N. W., D. P. Franke, A. Sammak, M. Kouwenhoven, D. Sabbagh, L. Yeoh, R. Li, M. L. V. Tagliaferri, M. Virgilio, G. Capellini,et al.(2018), Nat. Commun.9(1),

  74. [74]

    Hendrickx, N. W., W. I. L. Lawrie, M. Russ, F. Van Riggelen, S. L. De Snoo, R. N. Schouten, A. Sammak, G. Scappucci, and M. Veldhorst (2021), Nature591(7851),

  75. [75]

    Hendrickx, N. W., L. Massai, M. Mergenthaler, F. J. Schupp, S. Paredes, S. W. Bedell, G. Salis, and A. Fuhrer (2024), Nat. Mater.23(7),

  76. [76]

    Hendrickx, N. W., M. L. V. Tagliaferri, M. Kouwenhoven, R. Li, D. P. Franke, A. Sammak, A. Brinkman, G. Scap- pucci, and M. Veldhorst (2019), Phys. Rev. B99(7), 075435. Henriet, L., L. Beguin, A. Signoles, T. Lahaye, A. Browaeys, G.-O. Reymond, and C. Jurczak (2020), Quantum4,

  77. [77]

    Takada, M

    Hermelin, S., S. Takada, M. Yamamoto, S. Tarucha, A. D. Wieck, L. Saminadayar, C. Bäuerle, and T. Meunier (2011), Nature477(7365),

  78. [78]

    Kloeffel, and D

    Hetényi, B., C. Kloeffel, and D. Loss (2020), Phys. Rev. Res.2, 033036. Higginbotham, A. P., T. W. Larsen, J. Yao, H. Yan, C. M. Lieber, C. M. Marcus, and F. Kuemmeth (2014), Nano Lett.14(6),

  79. [79]

    Kohn (1964), Phys

    Hohenberg, P., and W. Kohn (1964), Phys. Rev.136(3B), B864. Holmes, D., B. Wilhelm, A. M. Jakob, X. Yu, F. E. Hudson, K. M. Itoh, A. S. Dzurak, D. N. Jamieson, and A. Morello (2024), Adv. Quantum Technol.7(3), 2300316. Horsman, D., A. G. Fowler, S. Devitt, and R. Van Meter (2012), New J. Phys.14(12), 123011. Hu, X., Y.-x. Liu, and F. Nori (2012), Phys. Re...

  80. [80]

    50 Ivlev, A. S., H. Tidjani, S. D. Oosterhout, A. Sammak, G. Scappucci, and M. Veldhorst (2024), Appl. Phys. Lett. 125(2). Jadot, B., P.-A. Mortemousque, E. Chanrion, V. Thiney, A. Ludwig, A. D. Wieck, M. Urdampilleta, C. Bäuerle, and T. Meunier (2021), Nat. Nanotechnol.16(5),

Showing first 80 references.