- Open Access
Fast readout of quantum dot spin qubits via Andreev spins
Phys. Rev. Applied 26, 034009 – Published 3 September, 2026
DOI: https://doi.org/10.1103/qcch-2hhy
Abstract
Spin qubits in semiconducting quantum dots are currently limited by slow readout processes, which are orders of magnitude slower than gate operations. In contrast, Andreev spin qubits benefit from fast measurement schemes enabled by the large resonator couplings of superconducting qubits but suffer from reduced coherence during qubit operations. Here, we propose fast and high-fidelity measurement protocols based on an electrically tunable coupling between quantum dot and Andreev spin qubits. In realistic devices, this coupling can be made sufficiently strong to enable high-fidelity readout well below microseconds, potentially enabling mid-circuit measurements. Crucially, the electrical tunability of our coupler permits to switch it off during idle periods, minimizing crosstalk and measurement back-action. Our approach is fully compatible with germanium-based devices and paves the way for scalable quantum computing architectures by leveraging the advantages of heterogeneous qubit implementations.
Physics Subject Headings (PhySH)
Article Text
References (126)
- D. Loss and D. P. DiVincenzo, Quantum computation with quantum dots, Phys. Rev. A 57, 120 (1998).
- G. Scappucci, C. Kloeffel, F. A. Zwanenburg, D. Loss, M. Myronov, J.-J. Zhang, S. De Franceschi, G. Katsaros, and M. Veldhorst, The germanium quantum information route, Nat. Rev. Mater. 6, 926 (2021).
- G. Burkard, T. D. Ladd, A. Pan, J. M. Nichol, and J. R. Petta, Semiconductor spin qubits, Rev. Mod. Phys. 95, 025003 (2023).
- P. Stano and D. Loss, Review of performance metrics of spin qubits in gated semiconducting nanostructures, Nat. Rev. Phys. 4, 672 (2022).
- S. Neyens et al., Probing single electrons across 300-mm spin qubit wafers, Nature (London) 629, 80 (2024).
- R. Maurand, X. Jehl, D. Kotekar-Patil, A. Corna, H. Bohuslavskyi, R. Laviéville, L. Hutin, S. Barraud, M. Vinet, M. Sanquer, and S. De Franceschi, A CMOS silicon spin qubit, Nat. Commun. 7, 1 (2016).
- N. Piot, B. Brun, V. Schmitt, S. Zihlmann, V. P. Michal, A. Apra, J. C. Abadillo-Uriel, X. Jehl, B. Bertrand, H. Niebojewski, L. Hutin, M. Vinet, M. Urdampilleta, T. Meunier, Y.-M. Niquet, R. Maurand, and S. D. Franceschi, A single hole spin with enhanced coherence in natural silicon, Nat. Nanotechnol. 17, 1072 (2022).
- L. C. Camenzind, S. Geyer, A. Fuhrer, R. J. Warburton, D. M. Zumbühl, and A. V. Kuhlmann, A hole spin qubit in a fin field-effect transistor above 4 kelvin, Nat. Electron. 5, 178 (2022).
- S. Bosco, S. Geyer, L. C. Camenzind, R. S. Eggli, A. Fuhrer, R. J. Warburton, D. M. Zumbühl, J. C. Egues, A. V. Kuhlmann, and D. Loss, Phase-driving hole spin qubits, Phys. Rev. Lett. 131, 197001 (2023).
- S. Bosco, B. Hetényi, and D. Loss, Hole spin qubits in Si finfets with fully tunable spin-orbit coupling and sweet spots for charge noise, PRX Quantum 2, 010348 (2021).
- 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 (London) 580, 355 (2020).
- X. Xue et al., CMOS-based cryogenic control of silicon quantum circuits, Nature (London) 593, 205 (2021).
- A. M. J. Zwerver et al., Qubits made by advanced semiconductor manufacturing, Nat. Electron. 5, 184 (2022).
- H. C. George et al., 12-spin-qubit arrays fabricated on a 300 mm semiconductor manufacturing line, Nano Lett. 25, 793 (2025).
- P. Steinacker et al., Industry-compatible silicon spin-qubit unit cells exceeding 99% fidelity, Nature (London) 646, 81 (2025).
- D. Jirovec, A. Hofmann, A. Ballabio, P. M. Mutter, G. Tavani, M. Botifoll, A. Crippa, J. Kukucka, O. Sagi, F. Martins, J. Saez-Mollejo, I. Prieto, M. Borovkov, J. Arbiol, D. Chrastina, G. Isella, and G. Katsaros, A singlet-triplet hole spin qubit in planar Ge, Nat. Mater. 20, 1106 (2021).
- J. Yoneda, K. Takeda, T. Otsuka, T. Nakajima, M. R. Delbecq, G. Allison, T. Honda, T. Kodera, S. Oda, Y. Hoshi, N. Usami, K. M. Itoh, and S. Tarucha, A quantum-dot spin qubit with coherence limited by charge noise and fidelity higher than 99.9%, Nat. Nanotechnol. 13, 102 (2018).
- K. Takeda, A. Noiri, T. Nakajima, T. Kobayashi, and S. Tarucha, Quantum error correction with silicon spin qubits, Nature (London) 608, 682 (2022).
- S. D. Liles, D. J. Halverson, Z. Wang, A. Shamim, R. S. Eggli, I. K. Jin, J. Hillier, K. Kumar, I. Vorreiter, M. J. Rendell, J. Y. Huang, C. C. Escott, F. E. Hudson, W. H. Lim, D. Culcer, A. S. Dzurak, and A. R. Hamilton, A singlet-triplet hole-spin qubit in MOS silicon, Nat. Commun. 15, 7690 (2024).
- F. Borsoi, N. W. Hendrickx, V. John, M. Meyer, S. Motz, F. van Riggelen, A. Sammak, S. L. de Snoo, G. Scappucci, and M. Veldhorst, Shared control of a 16 semiconductor quantum dot crossbar array, Nat. Nanotechnol. 19, 21 (2023).
- X. Xue, M. Russ, N. Samkharadze, B. Undseth, A. Sammak, G. Scappucci, and L. M. K. Vandersypen, Quantum logic with spin qubits crossing the surface code threshold, Nature (London) 601, 343 (2022).
- A. R. Mills, C. R. Guinn, M. J. Gullans, A. J. Sigillito, M. M. Feldman, E. Nielsen, and J. R. Petta, Two-qubit silicon quantum processor with operation fidelity exceeding 99%, Sci. Adv. 8, eabn5130 (2022).
- A. Noiri, K. Takeda, T. Nakajima, T. Kobayashi, A. Sammak, G. Scappucci, and S. Tarucha, Fast universal quantum gate above the fault-tolerance threshold in silicon, Nature (London) 601, 338 (2022).
- W. I. L. Lawrie, M. Rimbach-Russ, F. v. Riggelen, N. W. Hendrickx, S. L. d. Snoo, A. Sammak, G. Scappucci, J. Helsen, and M. Veldhorst, Simultaneous single-qubit driving of semiconductor spin qubits at the fault-tolerant threshold, Nat. Commun. 14, 3617 (2023).
- N. Hendrickx, D. Franke, A. Sammak, G. Scappucci, and M. Veldhorst, Fast two-qubit logic with holes in germanium, Nature (London) 577, 487 (2020).
- S. Geyer, B. Hetényi, S. Bosco, L. C. Camenzind, R. S. Eggli, A. Fuhrer, D. Loss, R. J. Warburton, D. M. Zumbühl, and A. V. Kuhlmann, Anisotropic exchange interaction of two hole-spin qubits, Nat. Phys. 20, 1152 (2024).
- C.-A. Wang, V. John, H. Tidjani, C. X. Yu, A. S. Ivlev, C. Déprez, F. van Riggelen-Doelman, B. D. Woods, N. W. Hendrickx, W. I. L. Lawrie, L. E. A. Stehouwer, S. D. Oosterhout, A. Sammak, M. Friesen, G. Scappucci, S. L. de Snoo, M. Rimbach-Russ, F. Borsoi, and M. Veldhorst, Operating semiconductor quantum processors with hopping spins, Science 385, 447 (2024).
- M. J. Carballido, S. Svab, R. S. Eggli, T. Patlatiuk, P. Chevalier Kwon, J. Schuff, R. M. Kaiser, L. C. Camenzind, A. Li, N. Ares, E. P. A. M. Bakkers, S. Bosco, J. C. Egues, D. Loss, and D. M. Zumbühl, Compromise-free scaling of qubit speed and coherence, Nat. Commun. 16, 7616 (2025).
- M. Bassi, E. A. Rodríguez-Mena, B. Brun, S. Zihlmann, T. Nguyen, V. Champain, J. C. Abadillo-Uriel, B. Bertrand, H. Niebojewski, R. Maurand, Y.-M. Niquet, X. Jehl, S. De Franceschi, and V. Schmitt, Optimal operation of hole spin qubits, Nat. Phys. 22, 75 (2026).
- F. N. M. Froning, L. C. Camenzind, O. A. H. van der Molen, A. Li, E. P. A. M. Bakkers, D. M. Zumbühl, and F. R. Braakman, Ultrafast hole spin qubit with gate-tunable spin–orbit switch functionality, Nat. Nanotechnol. 16, 308 (2021).
- K. Wang, G. Xu, F. Gao, H. Liu, R.-L. Ma, X. Zhang, Z. Wang, G. Cao, T. Wang, J.-J. Zhang, D. Culcer, X. Hu, H.-W. Jiang, H.-O. Li, G.-C. Guo, and G.-P. Guo, Ultrafast coherent control of a hole spin qubit in a germanium quantum dot, Nat. Commun. 13, 206 (2022).
- V. John, C. X. Yu, B. van Straaten, E. A. Rodríguez-Mena, M. Rodríguez, S. D. Oosterhout, L. E. A. Stehouwer, G. Scappucci, M. Rimbach-Russ, S. Bosco, F. Borsoi, Y.-M. Niquet, and M. Veldhorst, Robust and localised control of a 10-spin qubit array in germanium, Nat. Commun. 16, 10560 (2025).
- S. G. J. Philips, M. T. Madzik, S. V. Amitonov, S. L. de Snoo, M. Russ, N. Kalhor, C. Volk, W. I. L. Lawrie, D. Brousse, L. Tryputen, B. P. Wuetz, A. Sammak, M. Veldhorst, G. Scappucci, and L. M. K. Vandersypen, Universal control of a six-qubit quantum processor in silicon, Nature (London) 609, 919 (2022).
- N. W. Hendrickx, W. I. L. Lawrie, M. Russ, F. van Riggelen, S. L. de Snoo, R. N. Schouten, A. Sammak, G. Scappucci, and M. Veldhorst, A four-qubit germanium quantum processor, Nature (London) 591, 580 (2021).
- X. Zhang, E. Morozova, M. Rimbach-Russ, D. Jirovec, T.-K. Hsiao, P. C. Fariña, C.-A. Wang, S. D. Oosterhout, A. Sammak, G. Scappucci, M. Veldhorst, and L. M. K. Vandersypen, Universal control of four singlet–triplet qubits, Nat. Nanotechnol. 20, 209 (2025).
- F. Vigneau, F. Fedele, A. Chatterjee, D. Reilly, F. Kuemmeth, M. F. Gonzalez-Zalba, E. Laird, and N. Ares, Probing quantum devices with radio-frequency reflectometry, Appl. Phys. Rev. 10, 021305 (2023).
- P. Harvey-Collard, B. D’Anjou, M. Rudolph, N. T. Jacobson, J. Dominguez, G. A. Ten Eyck, J. R. Wendt, T. Pluym, M. P. Lilly, W. A. Coish, M. Pioro-Ladrière, and M. S. Carroll, High-fidelity single-shot readout for a spin qubit via an enhanced latching mechanism, Phys. Rev. X 8, 021046 (2018).
- G. A. Oakes, V. N. Ciriano-Tejel, D. F. Wise, M. A. Fogarty, T. Lundberg, C. Lainé, S. Schaal, F. Martins, D. J. Ibberson, L. Hutin, B. Bertrand, N. Stelmashenko, J. W. A. Robinson, L. Ibberson, A. Hashim, I. Siddiqi, A. Lee, M. Vinet, C. G. Smith, J. J. L. Morton, and M. F. Gonzalez-Zalba, Fast high-fidelity single-shot readout of spins in silicon using a single-electron box, Phys. Rev. X 13, 011023 (2023).
- E. J. Connors, J. Nelson, and J. M. Nichol, Rapid high-fidelity spin-state readout in quantum dots via rf reflectometry, Phys. Rev. Appl. 13, 024019 (2020).
- G. Zheng, N. Samkharadze, M. L. Noordam, N. Kalhor, D. Brousse, A. Sammak, G. Scappucci, and L. M. K. Vandersypen, Rapid gate-based spin read-out in silicon using an on-chip resonator, Nat. Nanotechnol. 14, 742 (2019).
- M. Urdampilleta, D. J. Niegemann, E. Chanrion, B. Jadot, C. Spence, P.-A. Mortemousque, C. Bäuerle, L. Hutin, B. Bertrand, S. Barraud, R. Maurand, M. Sanquer, X. Jehl, S. De Franceschi, M. Vinet, and T. Meunier, Gate-based high fidelity spin readout in a CMOS device, Nat. Nanotechnol. 14, 737 (2019).
- R. Zhao, T. Tanttu, K. Y. Tan, B. Hensen, K. W. Chan, J. C. C. Hwang, R. C. C. Leon, C. H. Yang, W. Gilbert, F. E. Hudson, K. M. Itoh, A. A. Kiselev, T. D. Ladd, A. Morello, A. Laucht, and A. S. Dzurak, Single-spin qubits in isotopically enriched silicon at low magnetic field, Nat. Commun. 10, 5500 (2019).
- N. M. Chtchelkatchev and Y. V. Nazarov, Andreev quantum dots for spin manipulation, Phys. Rev. Lett. 90, 226806 (2003).
- S. Park and A. L. Yeyati, Andreev spin qubits in multichannel Rashba nanowires, Phys. Rev. B 96, 125416 (2017).
- M. Hays, V. Fatemi, D. Bouman, J. Cerrillo, S. Diamond, K. Serniak, T. Connolly, P. Krogstrup, J. Nygård, A. L. Yeyati, A. Geresdi, and M. H. Devoret, Coherent manipulation of an Andreev spin qubit, Science 373, 430 (2021).
- M. Hays, V. Fatemi, K. Serniak, D. Bouman, S. Diamond, G. de Lange, P. Krogstrup, J. Nygård, A. Geresdi, and M. H. Devoret, Continuous monitoring of a trapped superconducting spin, Nat. Phys. 16, 1103 (2020).
- M. Pita-Vidal, A. Bargerbos, R. Žitko, L. J. Splitthoff, L. Grünhaupt, J. J. Wesdorp, Y. Liu, L. P. Kouwenhoven, R. Aguado, B. van Heck, A. Kou, and C. K. Andersen, Direct manipulation of a superconducting spin qubit strongly coupled to a transmon qubit, Nat. Phys. 19, 1110 (2023).
- M. Pita-Vidal, J. J. Wesdorp, L. J. Splitthoff, A. Bargerbos, Y. Liu, L. P. Kouwenhoven, and C. K. Andersen, Strong tunable coupling between two distant superconducting spin qubits, Nat. Phys. 20, 1158 (2024).
- A. Bargerbos, M. Pita-Vidal, R. Žitko, L. J. Splitthoff, L. Grünhaupt, J. J. Wesdorp, Y. Liu, L. P. Kouwenhoven, R. Aguado, C. K. Andersen, A. Kou, and B. van Heck, Spectroscopy of spin-split Andreev levels in a quantum dot with superconducting leads, Phys. Rev. Lett. 131, 097001 (2023).
- A. Bargerbos, M. Pita-Vidal, R. Žitko, J. Á vila, L. J. Splitthoff, L. Grünhaupt, J. J. Wesdorp, C. K. Andersen, Y. Liu, L. P. Kouwenhoven, R. Aguado, A. Kou, and B. van Heck, Singlet-doublet transitions of a quantum dot Josephson junction detected in a transmon circuit, PRX Quantum 3, 030311 (2022).
- L. Tosi, C. Metzger, M. F. Goffman, C. Urbina, H. Pothier, S. Park, A. L. Yeyati, J. Nygård, and P. Krogstrup, Spin-orbit splitting of Andreev states revealed by microwave spectroscopy, Phys. Rev. X 9, 011010 (2019).
- H. Lu, D. F. Bofill, Z. Sun, T. Kanne, J. Nygård, M. Kjaergaard, and V. Fatemi, Andreev spin relaxation time in a shadow-evaporated InAs weak link, Phys. Rev. Appl. 24, 024046 (2025).
- S. Hoffman, M. Hays, K. Serniak, T. Hazard, and C. Tahan, Decoherence in Andreev spin qubits, Phys. Rev. B 111, 045304 (2025).
- L. Lakic, W. I. L. Lawrie, D. van Driel, L. E. A. Stehouwer, Y. Su, M. Veldhorst, G. Scappucci, F. Kuemmeth, and A. Chatterjee, A quantum dot in germanium proximitized by a superconductor, Nat. Mater. 24, 552 (2025).
- M. Hinderling, S. C. ten Kate, M. Coraiola, D. Z. Haxell, M. Stiefel, M. Mergenthaler, S. Paredes, S. W. Bedell, D. Sabonis, and F. Nichele, Direct microwave spectroscopy of Andreev bound states in planar Josephson junctions, PRX Quantum 5, 030357 (2024).
- C. Adelsberger, H. F. Legg, D. Loss, and J. Klinovaja, Microscopic analysis of proximity-induced superconductivity and metallization effects in superconductor-germanium hole nanowires, Phys. Rev. B 108, 155433 (2023).
- S. S. Babkin, B. Joecker, K. Flensberg, M. Serbyn, and J. Danon, Superconducting proximity effect in two-dimensional hole gases, Phys. Rev. B 111, 214518 (2025).
- P. D. Johannsen, H. F. Legg, S. Bosco, D. Loss, and J. Klinovaja, Atypical Josephson effect in hybrid superconductor-hole systems, Phys. Rev. Res. 8 013289 (2026).
- D. M. Pino, R. S. Souto, M. J. Calderón, R. Aguado, and J. C. Abadillo-Uriel, Theory of superconducting proximity effect in hole-based hybrid semiconductor-superconductor devices, Phys. Rev. B 111, 235443 (2025).
- M. Luethi, K. Laubscher, S. Bosco, D. Loss, and J. Klinovaja, Planar Josephson junctions in germanium: Effect of cubic spin-orbit interaction, Phys. Rev. B 107, 035435 (2023).
- K. Laubscher, J. D. Sau, and S. Das Sarma, Majorana zero modes in gate-defined germanium hole nanowires, Phys. Rev. B 109, 035433 (2024).
- A. Tosato, V. Levajac, J.-Y. Wang, C. J. Boor, F. Borsoi, M. Botifoll, C. N. Borja, S. Martí-Sánchez, J. Arbiol, A. Sammak, M. Veldhorst, and G. Scappucci, Hard superconducting gap in germanium, Commun. Mater. 4, 23 (2023).
- K. Aggarwal, A. Hofmann, D. Jirovec, I. Prieto, A. Sammak, M. Botifoll, S. Martí-Sánchez, M. Veldhorst, J. Arbiol, G. Scappucci, J. Danon, and G. Katsaros, Enhancement of proximity-induced superconductivity in a planar Ge hole gas, Phys. Rev. Res. 3, L022005 (2021).
- J. A. Steele, P. J. Strohbeen, C. Verdi, A. Baktash, A. Danilenko, Y.-H. Chen, J. van Dijk, F. H. Knudsen, A. Leblanc, D. Perconte, L. Wang, E. Demler, S. Salmani-Rezaie, P. Jacobson, and J. Shabani, Superconductivity in substitutional Ga-hyperdoped Ge epitaxial thin films, Nat. Nanotechnol. 20, 1757 (2025).
- O. Sagi, A. Crippa, M. Valentini, M. Janik, L. Baghumyan, G. Fabris, L. Kapoor, F. Hassani, J. Fink, S. Calcaterra, D. Chrastina, G. Isella, and G. Katsaros, A gate tunable transmon qubit in planar Ge, Nat. Commun. 15, 6400 (2024).
- E. Kiyooka, C. Tangchingchai, L. Noirot, A. Leblanc, B. Brun, S. Zihlmann, R. Maurand, V. Schmitt, É. Dumur, J.-M. Hartmann, F. Lefloch, and S. De Franceschi, Gatemon qubit on a germanium quantum-well heterostructure, Nano Lett. 25, 562 (2025).
- O. Moutanabbir, S. Assali, A. Attiaoui, G. Daligou, P. Daoust, P. D. Vecchio, S. Koelling, L. Luo, and N. Rotaru, Nuclear spin-depleted, isotopically enriched quantum wells, Adv. Mater. 36, 2305703 (2024).
- J. Fischer, W. A. Coish, D. V. Bulaev, and D. Loss, Spin decoherence of a heavy hole coupled to nuclear spins in a quantum dot, Phys. Rev. B 78, 155329 (2008).
- S. Bosco and D. Loss, Fully tunable hyperfine interactions of hole spin qubits in Si and Ge quantum dots, Phys. Rev. Lett. 127, 190501 (2021).
- P. Philippopoulos, S. Chesi, and W. A. Coish, First-principles hyperfine tensors for electrons and holes in GaAs and silicon, Phys. Rev. B 101, 115302 (2020).
- D. Costa, P. D. Vecchio, K. Hudson, L. E. A. Stehouwer, A. Tosato, D. D. Esposti, V. Calvi, L. Moreschini, M. LodariS. Bosco, and G. Scappucci, Buried unstrained germanium channels: A lattice-matched platform for quantum technology, Adv. Sci. 13, e00066.
- S. Bosco, M. Benito, C. Adelsberger, and D. Loss, Squeezed hole spin qubits in Ge quantum dots with ultrafast gates at low power, Phys. Rev. B 104, 115425 (2021).
- L. Mauro, M. J. Rodríguez, E. A. Rodríguez-Mena, and Y.-M. Niquet, Hole spin qubits in unstrained germanium layers, npj Quantum Inf. 11, 167 (2025).
- P. Del Vecchio, S. Bosco, D. Loss, and O. Moutanabbir, Fully tunable strong spin-orbit interactions in light hole germanium quantum channels, Commun. Phys. (2026).
- P. Del Vecchio and O. Moutanabbir, Light-hole gate-defined spin-orbit qubit, Phys. Rev. B 107, L161406 (2023).
- P. Del Vecchio and O. Moutanabbir, Light-hole spin confined in germanium, Phys. Rev. B 110, 045409 (2024).
- A. Leblanc, C. Tangchingchai, Z. Sadre Momtaz, E. Kiyooka, J.-M. Hartmann, F. Gustavo, J.-L. Thomassin, B. Brun, V. Schmitt, S. Zihlmann, R. Maurand, É. Dumur, S. De Franceschi, and F. Lefloch, Gate- and flux-tunable Josephson element with planar-Ge junctions, Nat. Commun. 16, 1010 (2025).
- M. Valentini, O. Sagi, L. Baghumyan, T. de Gijsel, J. Jung, S. Calcaterra, A. Ballabio, J. Aguilera Servin, K. Aggarwal, M. Janik, T. Adletzberger, R. Seoane Souto, M. Leijnse, J. Danon, C. Schrade, E. Bakkers, D. Chrastina, G. Isella, and G. Katsaros, Parity-conserving Cooper-pair transport and ideal superconducting diode in planar germanium, Nat. Commun. 15, 169 (2024).
- M. Spethmann, S. Bosco, A. Hofmann, J. Klinovaja, and D. Loss, High-fidelity two-qubit gates of hybrid superconducting-semiconducting singlet-triplet qubits, Phys. Rev. B 109, 085303 (2024).
- H.-S. Goan, G. J. Milburn, H. M. Wiseman, and H. Bi Sun, Continuous quantum measurement of two coupled quantum dots using a point contact: A quantum trajectory approach, Phys. Rev. B 63, 125326 (2001).
- M. Boissonneault, J. M. Gambetta, and A. Blais, Dispersive regime of circuit QED: Photon-dependent qubit dephasing and relaxation rates, Phys. Rev. A 79, 013819 (2009).
- D. Svastits, B. Hetényi, G. Széchenyi, J. Wootton, D. Loss, S. Bosco, and A. Pályi, Readout sweet spots for spin qubits with strong spin-orbit interaction, Phys. Rev. Lett. 136, 117001 (2026).
- M. Pita-Vidal, J. J. Wesdorp, and C. K. Andersen, Blueprint for all-to-all-connected superconducting spin qubits, PRX Quantum 6, 010308 (2025).
- H. Lu, I. A. Day, A. R. Akhmerov, B. van Heck, and V. Fatemi, Kramers-protected hardware-efficient error correction with Andreev spin qubits, Phys. Rev. Lett. 135, 210602 (2025).
- L. M. K. Vandersypen, H. Bluhm, J. S. Clarke, A. S. Dzurak, R. Ishihara, A. Morello, D. J. Reilly, L. R. Schreiber, and M. Veldhorst, Interfacing spin qubits in quantum dots and donors—hot, dense, and coherent, npj Quantum Inf. 3, 34 (2017).
- W. G. van der Wiel, S. De Franceschi, J. M. Elzerman, T. Fujisawa, S. Tarucha, and L. P. Kouwenhoven, Electron transport through double quantum dots, Rev. Mod. Phys. 75, 1 (2002).
- J. C. Abadillo-Uriel, E. A. Rodríguez-Mena, B. Martinez, and Y.-M. Niquet, Hole-spin driving by strain-induced spin-orbit interactions, Phys. Rev. Lett. 131, 097002 (2023).
- C.-A. Wang, H. E. Ercan, M. F. Gyure, G. Scappucci, M. Veldhorst, and M. Rimbach-Russ, Modeling of planar germanium hole qubits in electric and magnetic fields, npj Quantum Inf. 10, 102 (2024).
- M. Rimbach-Russ, V. John, B. van Straaten, and S. Bosco, Gapless single-spin qubit, Phys. Rev. Lett. 135, 197001 (2025).
- L. A. Terrazos, E. Marcellina, Z. Wang, S. N. Coppersmith, M. Friesen, A. R. Hamilton, X. Hu, B. Koiller, A. L. Saraiva, D. Culcer, and R. B. Capaz, Theory of hole-spin qubits in strained germanium quantum dots, Phys. Rev. B 103, 125201 (2021).
- R. Seoane Souto and R. Aguado, Subgap states in semiconductor-superconductor devices for quantum technologies: Andreev qubits and minimal majorana chains, in New Trends and Platforms for Quantum Technologies, Eds. R. Aguado, R. Citro, M. Lewenstein, and M. Stern (Springer Nature Switzerland, Cham, 2024), p. 223.
- M. Žonda, P. Zalom, T. c. v. Novotný, G. Loukeris, J. Bätge, and V. Pokorný, Generalized atomic limit of a double quantum dot coupled to superconducting leads, Phys. Rev. B 107, 115407 (2023).
- E. Vecino, A. Martín-Rodero, and A. L. Yeyati, Josephson current through a correlated quantum level: Andreev states and junction behavior, Phys. Rev. B 68, 035105 (2003).
- P. Zalom, K. Wrześniewski, T. c. v. Novotný, and I. Weymann, Double quantum dot Andreev molecules: Phase diagrams and critical evaluation of effective models, Phys. Rev. B 110, 134506 (2024).
- A. Blais, A. L. Grimsmo, S. M. Girvin, and A. Wallraff, Circuit quantum electrodynamics, Rev. Mod. Phys. 93, 025005 (2021).
- J. Dijkema, X. Xue, P. Harvey-Collard, M. Rimbach-Russ, S. L. de Snoo, G. Zheng, A. Sammak, G. Scappucci, and L. M. K. Vandersypen, Cavity-mediated iSWAP oscillations between distant spins, Nat. Phys. 21, 168 (2025).
- C. X. Yu, S. Zihlmann, J. C. Abadillo-Uriel, V. P. Michal, N. Rambal, H. Niebojewski, T. Bedecarrats, M. Vinet, É. Dumur, M. Filippone, B. Bertrand, S. De Franceschi, Y.-M. Niquet, and R. Maurand, Strong coupling between a photon and a hole spin in silicon, Nat. Nanotechnol. 18, 741 (2023).
- F. De Palma, F. Oppliger, W. Jang, S. Bosco, M. Janík, S. Calcaterra, G. Katsaros, G. Isella, D. Loss, and P. Scarlino, Strong hole-photon coupling in planar Ge for probing charge degree and strongly correlated states, Nat. Commun. 15, 10177 (2024).
- M. Janík, K. Roux, C. Borja-Espinosa, O. Sagi, A. Baghdadi, T. Adletzberger, S. Calcaterra, M. Botifoll, A. Garzón Manjón, J. Arbiol, D. Chrastina, G. Isella, I. M. Pop, and G. Katsaros, Strong charge-photon coupling in planar germanium enabled by granular aluminium superinductors, Nat. Commun. 16, 2103 (2025).
- A. J. Landig, J. V. Koski, P. Scarlino, U. C. Mendes, A. Blais, C. Reichl, W. Wegscheider, A. Wallraff, K. Ensslin, and T. Ihn, Coherent spin–photon coupling using a resonant exchange qubit, Nature (London) 560, 179 (2018).
- X. Mi, M. Benito, S. Putz, D. M. Zajac, J. M. Taylor, G. Burkard, and J. R. Petta, A coherent spin–photon interface in silicon, Nature (London) 555, 599 (2018).
- S. Bosco, P. Scarlino, J. Klinovaja, and D. Loss, Fully tunable longitudinal spin-photon interactions in Si and Ge quantum dots, Phys. Rev. Lett. 129, 066801 (2022).
- M. Benito, X. Mi, J. M. Taylor, J. R. Petta, and G. Burkard, Input-output theory for spin-photon coupling in Si double quantum dots, Phys. Rev. B 96, 235434 (2017).
- P. Harvey-Collard, J. Dijkema, G. Zheng, A. Sammak, G. Scappucci, and L. M. K. Vandersypen, Coherent spin-spin coupling mediated by virtual microwave photons, Phys. Rev. X 12, 021026 (2022).
- F. van Riggelen-Doelman, C.-A. Wang, S. L. de Snoo, W. I. L. Lawrie, N. W. Hendrickx, M. Rimbach-Russ, A. Sammak, G. Scappucci, C. Déprez, and M. Veldhorst, Coherent spin qubit shuttling through germanium quantum dots, Nat. Commun. 15, 5716 (2024).
- X. Croot, X. Mi, S. Putz, M. Benito, F. Borjans, G. Burkard, and J. R. Petta, Flopping-mode electric dipole spin resonance, Phys. Rev. Res. 2, 012006 (2020).
- P. M. Mutter and G. Burkard, Natural heavy-hole flopping mode qubit in germanium, Phys. Rev. Res. 3, 013194 (2021).
- A. Sen, G. Frank, B. Kolok, J. Danon, and A. Pályi, Classification and magic magnetic field directions for spin-orbit-coupled double quantum dots, Phys. Rev. B 108, 245406 (2023).
- J. Saez-Mollejo, D. Jirovec, Y. Schell, J. Kukucka, S. Calcaterra, D. Chrastina, G. Isella, M. Rimbach-Russ, S. Bosco, and G. Katsaros, Exchange anisotropies in microwave-driven singlet-triplet qubits, Nat. Commun. 16, 3862 (2025).
- N. Didier, J. Bourassa, and A. Blais, Fast quantum nondemolition readout by parametric modulation of longitudinal qubit-oscillator interaction, Phys. Rev. Lett. 115, 203601 (2015).
- J. Gambetta, A. Blais, M. Boissonneault, A. A. Houck, D. I. Schuster, and S. M. Girvin, Quantum trajectory approach to circuit QED: Quantum jumps and the Zeno effect, Phys. Rev. A 77, 012112 (2008).
- A. A. Clerk, M. H. Devoret, S. M. Girvin, F. Marquardt, and R. J. Schoelkopf, Introduction to quantum noise, measurement, and amplification, Rev. Mod. Phys. 82, 1155 (2010).
- T. Walter, P. Kurpiers, S. Gasparinetti, P. Magnard, A. Potočnik, Y. Salathé, M. Pechal, M. Mondal, M. Oppliger, C. Eichler, and A. Wallraff, Rapid high-fidelity single-shot dispersive readout of superconducting qubits, Phys. Rev. Appl. 7, 054020 (2017).
- J. Hu, A. L. Manesco, A. Melo, T. V. Stefanski, C. K. Andersen, and V. Fatemi, Mixed spin-boson coupling for qubit readout with suppressed residual shot-noise dephasing, arXiv:2503.13411.
- E. Jeffrey, D. Sank, J. Y. Mutus, T. C. White, J. Kelly, R. Barends, Y. Chen, Z. Chen, B. Chiaro, A. Dunsworth, A. Megrant, P. J. J. O’Malley, C. Neill, P. Roushan, A. Vainsencher, J. Wenner, A. N. Cleland, and J. M. Martinis, Fast accurate state measurement with superconducting qubits, Phys. Rev. Lett. 112, 190504 (2014).
- D. T. McClure, H. Paik, L. S. Bishop, M. Steffen, J. M. Chow, and J. M. Gambetta, Rapid driven reset of a qubit readout resonator, Phys. Rev. Appl. 5, 011001 (2016).
- C. C. Bultink, M. A. Rol, T. E. O’Brien, X. Fu, B. C. S. Dikken, C. Dickel, R. F. L. Vermeulen, J. C. de Sterke, A. Bruno, R. N. Schouten, and L. DiCarlo, Active resonator reset in the nonlinear dispersive regime of circuit QED, Phys. Rev. Appl. 6, 034008 (2016).
- P. D. Kurilovich, T. Connolly, C. G. Bøttcher, D. K. Weiss, S. Hazra, V. R. Joshi, A. Z. Ding, H. Nho, S. Diamond, V. D. Kurilovich et al., High-frequency readout free from transmon multi-excitation resonances, arXiv:2501.09161.
- T. Connolly, P. D. Kurilovich, V. D. Kurilovich, C. G. Bøttcher, S. Hazra, W. Dai, A. Z. Ding, V. R. Joshi, H. Nho, S. Diamond et al., Full characterization of measurement-induced transitions of a superconducting qubit, arXiv:2506.05306.
- B. Harpt, J. Corrigan, N. Holman, P. Marciniec, D. Rosenberg, D. Yost, R. Das, R. Ruskov, C. Tahan, W. D. Oliver, R. McDermott, M. Friesen, and M. A. Eriksson, Ultra-dispersive resonator readout of a quantum-dot qubit using longitudinal coupling, npj Quantum Inf. 11, 5 (2025).
- S. Bosco and M. Rimbach-Russ, Exchange-only spin-orbit qubits in silicon and germanium, Phys. Rev. Appl. 25, L021002 (2026).
- Y. P. Kandel, H. Qiao, S. Fallahi, G. C. Gardner, M. J. Manfra, and J. M. Nichol, Coherent spin-state transfer via Heisenberg exchange, Nature (London) 573, 553 (2019).
- M. T. P. Nguyen, M. Rimbach-Russ, L. M. K. Vandersypen, and S. Bosco, Single-step high-fidelity three-qubit gates by anisotropic chiral interactions, PRX Quantum 6, 030326 (2025).
- D. Jirovec, P. M. Mutter, A. Hofmann, A. Crippa, M. Rychetsky, D. L. Craig, J. Kukucka, F. Martins, A. Ballabio, N. Ares, D. Chrastina, G. Isella, G. Burkard, and G. Katsaros, Dynamics of hole singlet-triplet qubits with large -factor differences, Phys. Rev. Lett. 128, 126803 (2022).
- 10.5281/zenodo.16024696.
- C.-F. Kam and X. Hu, Fast and high-fidelity dispersive readout of a spin qubit with squeezed microwave and resonator nonlinearity, npj Quantum Inf. 10, 133 (2024)