Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Open Access

Leakage-Protected Idle Operation of a Triangular Exchange-Only Spin Qubit

Joseph D. Broz1,*, Jesse C. Hoke1, Edwin Acuna1, and Jason R. Petta1,2,3

  • *Contact author: jdbroz@hrl.com

PRX Quantum 7, 020324 – Published 7 May, 2026

DOI: https://doi.org/10.1103/sljc-cmdw

Abstract

We characterize the coherence of a triangular exchange-only (EO) spin qubit operated at a leakage-protected idle (LPI) point. The triangular geometry enables independent control of all three pairwise exchange interactions, and the LPI condition occurs when these couplings are turned on simultaneously and tuned to equal strength. In this configuration, the exchange interaction induces an energy gap Eg=3J/2 that suppresses leakage from the computational subspace while leaving the qubit state unaffected. We develop procedures to calibrate the LPI point and measure Eg, and use these to characterize the qubit dephasing time over a broad range of gap energies. While operating with large always-on exchange couplings exposes the qubit to charge noise, we find that T~2∗ still exceeds that of conventional exchange-only spin qubits for Eg/h<60 MHz. The precise control of simultaneous, all-to-all connected exchange demonstrated here presents a natural path toward improving the performance of EO qubits and also enables alternative qubit encodings.

View figure in article

Physics Subject Headings (PhySH)

Popular Summary

Article Text

Supplemental Material

References (37)

  1. R. Hanson, L. P. Kouwenhoven, J. R. Petta, S. Tarucha, and L. M. K. Vandersypen, Spins in few-electron quantum dots, Rev. Mod. Phys. 79, 1217 (2007).
  2. G. Burkard, T. D. Ladd, A. Pan, J. M. Nichol, and J. R. Petta, Semiconductor spin qubits, Rev. Mod. Phys. 95, 025003 (2023).
  3. C. H. Yang, R. C. C. Leon, J. C. C. Hwang, A. Saraiva, T. Tanttu, W. Huang, J. Camirand Lemyre, K. W. Chan, K. Y. Tan, F. E. Hudson, K. M. Itoh, A. Morello, M. Pioro-Ladrière, A. Laucht, and A. S. Dzurak, Operation of a silicon quantum processor unit cell above one kelvin, Nature 580, 350 (2020).
  4. L. Petit, H. G. J. Eenink, M. Russ, W. I. L. Lawrie, N. W. Hendrickx, S. G. J. Philips, J. S. Clarke, L. M. K. Vandersypen, and M. Veldhorst, Universal quantum logic in hot silicon qubits, Nature 580, 355 (2020).
  5. J. Y. Huang et al., High-fidelity spin qubit operation and algorithmic initialization above 1 K, Nature 627, 772 (2024).
  6. F. Ansaloni, A. Chatterjee, H. Bohuslavskyi, B. Bertrand, L. Hutin, M. Vinet, and F. Kuemmeth, Single-electron operations in a foundry-fabricated array of quantum dots, Nat. Commun. 11, 6399 (2020).
  7. W. Ha, S. D. Ha, M. D. Choi, Y. Tang, A. E. Schmitz, M. P. Levendorf, K. Lee, J. M. Chappell, T. S. Adams, D. R. Hulbert, E. Acuna, R. S. Noah, J. W. Matten, M. P. Jura, J. A. Wright, M. T. Rakher, and M. G. Borselli, A flexible design platform for Si/SiGe exchange-only qubits with low disorder, Nano Lett. 22, 1443 (2022).
  8. A. M. J. Zwerver et al., Qubits made by advanced semiconductor manufacturing, Nat. Electron. 5, 184 (2022).
  9. S. Neyens et al., Probing single electrons across 300-mm spin qubit wafers, Nature 629, 80 (2024).
  10. Y. Tokura, W. G. van der Wiel, T. Obata, and S. Tarucha, Coherent single electron spin control in a slanting Zeeman field, Phys. Rev. Lett. 96, 047202 (2006).
  11. M. Pioro-Ladrière, T. Obata, Y. Tokura, Y.-S. Shin, T. Kubo, K. Yoshida, T. Taniyama, and S. Tarucha, Electrically driven single-electron spin resonance in a slanting Zeeman field, Nat. Phys. 4, 776 (2008).
  12. D. P. DiVincenzo, D. Bacon, J. Kempe, G. Burkard, and K. B. Whaley, Universal quantum computation with the exchange interaction, Nature 408, 339 (2000).
  13. R. W. Andrews, C. Jones, M. D. Reed, A. M. Jones, S. D. Ha, M. P. Jura, J. Kerckhoff, M. Levendorf, S. Meenehan, S. T. Merkel, A. Smith, B. Sun, A. J. Weinstein, M. T. Rakher, T. D. Ladd, and M. G. Borselli, Quantifying error and leakage in an encoded Si/SiGe triple-dot qubit, Nat. Nanotechnol. 14, 747 (2019).
  14. T. D. Ladd, Hyperfine-induced decay in triple quantum dots, Phys. Rev. B 86, 125408 (2012).
  15. J. Kerckhoff, B. Sun, B. H. Fong, C. Jones, A. A. Kiselev, D. W. Barnes, R. S. Noah, E. Acuna, M. Akmal, S. D. Ha, J. A. Wright, B. Thomas, C. A. C. Jackson, L. F. Edge, K. Eng, R. S. Ross, and T. D. Ladd, Magnetic gradient fluctuations from quadrupolar 73Ge in Si/SiGe exchange-only qubits, PRX Quantum 2, 010347 (2021).
  16. J. Kempe, D. Bacon, D. P. DiVincenzo, and K. B. Whaley, Encoded universality from a single physical interaction, Quantum Inf. Comput. 1, 33 (2001a).
  17. K. Eng, T. D. Ladd, A. Smith, M. G. Borselli, A. A. Kiselev, B. H. Fong, K. S. Holabird, T. M. Hazard, B. Huang, P. W. Deelman, I. Milosavljevic, A. E. Schmitz, R. S. Ross, M. F. Gyure, and A. T. Hunter, Isotopically enhanced triple-quantum-dot qubit, Sci. Adv. 1, e1500214 (2015).
  18. Y. S. Weinstein and C. S. Hellberg, Energetic suppression of decoherence in exchange-only quantum computation, Phys. Rev. A 72, 022319 (2005).
  19. J. D. Broz, J. C. Hoke, E. Acuna, and J. R. Petta (in press), Demonstration of an always-on exchange-only spin qubit, Nat. Commun. (2026).
  20. I. Heinz, F. Borjans, M. J. Curry, R. Kotlyar, F. Luthi, M. T. Mądzik, F. A. Mohiyaddin, N. Bishop, and G. Burkard, Fast quantum gates for exchange-only qubits using simultaneous exchange pulses, PRX Quantum 6, 030353 (2025).
  21. A. J. Weinstein et al., Universal logic with encoded spin qubits in silicon, Nature 615, 817 (2023).
  22. M. D. Reed, B. M. Maune, R. W. Andrews, M. G. Borselli, K. Eng, M. P. Jura, A. A. Kiselev, T. D. Ladd, S. T. Merkel, I. Milosavljevic, E. J. Pritchett, M. T. Rakher, R. S. Ross, A. E. Schmitz, A. Smith, J. A. Wright, M. F. Gyure, and A. T. Hunter, Reduced sensitivity to charge noise in semiconductor spin qubits via symmetric operation, Phys. Rev. Lett. 116, 110402 (2016).
  23. E. Acuna, J. D. Broz, K. Shyamsundar, A. B. Mei, C. P. Feeney, V. Smetanka, T. Davis, K. Lee, M. D. Choi, B. Boyd, J. Suh, W. Ha, C. Jennings, A. S. Pan, D. S. Sanchez, M. D. Reed, and J. R. Petta, Coherent control of a triangular exchange-only spin qubit, Phys. Rev. Appl. 22, 044057 (2024).
  24. T. Hensgens, T. Fujita, L. Janssen, X. Li, C. J. Van Diepen, C. Reichl, W. Wegscheider, S. Das Sarma, and L. M. K. Vandersypen, Quantum simulation of a Fermi–Hubbard model using a semiconductor quantum dot array, Nature 548, 70 (2017).
  25. A. R. Mills, M. M. Feldman, C. Monical, P. J. Lewis, K. W. Larson, A. M. Mounce, and J. R. Petta, Computer-automated tuning procedures for semiconductor quantum dot arrays, Appl. Phys. Lett. 115, 113501 (2019).
  26. T.-K. Hsiao, C. van Diepen, U. Mukhopadhyay, C. Reichl, W. Wegscheider, and L. M. K. Vandersypen, Efficient orthogonal control of tunnel couplings in a quantum dot array, Phys. Rev. Appl. 13, 054018 (2020).
  27. J. Z. Blumoff et al., Fast and high-fidelity state preparation and measurement in triple-quantum-dot spin qubits, PRX Quantum 3, 010352 (2022).
  28. H. Qiao, Y. P. Kandel, K. Deng, S. Fallahi, G. C. Gardner, M. J. Manfra, E. Barnes, and J. M. Nichol, Coherent multispin exchange coupling in a quantum-dot spin chain, Phys. Rev. X 10, 031006 (2020).
  29. J. R. Petta, A. C. Johnson, J. M. Taylor, E. A. Laird, A. Yacoby, M. D. Lukin, C. M. Marcus, M. P. Hanson, and A. C. Gossard, Coherent manipulation of coupled electron spins in semiconductor quantum dots, Science 309, 2180 (2005).
  30. J. D. Broz, J. C. Hoke, E. Acuna, and J. R. Petta, Supplementary information for: Leakage-protected idle operation of a triangular exchange-only qubit spin qubit, http://link.aps.org/supplemental/10.1103/sljc-cmdw (2026).
  31. J. Kempe, D. Bacon, D. A. Lidar, and K. B. Whaley, Theory of decoherence-free fault-tolerant universal quantum computation, Phys. Rev. A 63, 042307 (2001).
  32. X. Zhou, Z.-W. Zhou, G.-C. Guo, and M. J. Feldman, Quantum computation with untunable couplings, Phys. Rev. Lett. 89, 197903 (2002).
  33. V. W. Scarola, K. Park, and S. Das Sarma, Chirality in quantum computation with spin cluster qubits, Phys. Rev. Lett. 93, 120503 (2004).
  34. C.-Y. Hsieh and P. Hawrylak, Quantum circuits based on coded qubits encoded in chirality of electron spin complexes in triple quantum dots, Phys. Rev. B 82, 205311 (2010).
  35. V. Srinivasa, J. Levy, and C. S. Hellberg, Flying spin qubits: A method for encoding and transporting qubits within a dimerized Heisenberg spin-12 chain, Phys. Rev. B 76, 094411 (2007).
  36. Y. Avishai, T. Kuzmenko, and K. Kikoin, Dynamical and point symmetry of the Kondo effect in triangular quantum dot, Physica E 29, 334 (2005).
  37. K. Ingersent, A. W. W. Ludwig, and I. Affleck, Kondo screening in a magnetically frustrated nanostructure: Exact results on a stable non-Fermi-liquid phase, Phys. Rev. Lett. 95, 257204 (2005).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation