- Editors' Suggestion
- Open Access
Mitigation of exchange crosstalk in dense quantum dot arrays
Phys. Rev. Applied 24, 034051 – Published 19 September, 2025
DOI: https://doi.org/10.1103/qgnt-n527
Abstract
Coupled spins in semiconductor quantum dots are a versatile platform for quantum computing and simulations of complex many-body phenomena. However, on the path of scale-up, crosstalk from densely packed electrodes poses a severe challenge. While crosstalk onto the quantum dot potentials is nowadays routinely compensated for, crosstalk on the exchange interaction is much more difficult to tackle because it is not always directly measurable. Here we propose and implement a way of characterizing and compensating crosstalk on adjacent exchange interactions by following the singlet-triplet avoided crossing in . We show that we can easily identify the barrier-to-barrier crosstalk element without knowledge of the particular exchange value in a quantum dot array. We uncover striking differences among these crosstalk elements that can be linked to the geometry of the device and the barrier gate fan-out. We validate the method by tuning up four-spin Heisenberg chains. The same method should be applicable to longer chains of spins and to other semiconductor platforms in which mixing of the singlet and the lowest-energy triplet is present or can be engineered. Additionally, this procedure is well-suited for automated tuning routines as we obtain a standout feature that can be easily tracked and directly returns the magnitude of the crosstalk.
Physics Subject Headings (PhySH)
Article Text
References (49)
- P. Stano and D. Loss, Review of performance metrics of spin qubits in gated semiconducting nanostructures, Nat. Rev. Phys. 4, 672 (2022).
- G. Burkard, T. D. Ladd, A. Pan, J. M. Nichol, and J. R. Petta, Semiconductor spin qubits, Rev. Mod. Phys. 95, 025003 (2023).
- P. Barthelemy and L. M. K. Vandersypen, Quantum dot systems: A versatile platform for quantum simulations, Ann. Phys. 525, 808 (2013).
- C. Volk, A. M. J. Zwerver, U. Mukhopadhyay, P. T. Eendebak, C. J. van Diepen, J. P. Dehollain, T. Hensgens, T. Fujita, C. Reichl, W. Wegscheider, and L. M. K. Vandersypen, Loading a quantum-dot based “Qubyte” register, npj Quantum Inf. 5, 29 (2019).
- C. J. van Diepen, P. T. Eendebak, B. T. Buijtendorp, U. Mukhopadhyay, T. Fujita, C. Reichl, W. Wegscheider, and L. M. K. Vandersypen, Automated tuning of inter-dot tunnel coupling in double quantum dots, Appl. Phys. Lett. 113, 033101 (2018).
- 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).
- 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).
- A. S. Rao, D. Buterakos, B. van Straaten, V. John, C. X. Yu, S. D. Oosterhout, L. Stehouwer, G. Scappucci, M. Veldhorst, F. Borsoi, and J. P. Zwolak, Modular autonomous virtualization system for two-dimensional semiconductor quantum dot arrays, Phys. Rev. X 15, 021034 (2025).
- F. Fedele, A. Chatterjee, S. Fallahi, G. C. Gardner, M. J. Manfra, and F. Kuemmeth, Simultaneous operations in a two-dimensional array of singlet-triplet qubits, PRX Quantum 2, 040306 (2021).
- M. T. Mądzik et al., Operating two exchange-only qubits in parallel, arXiv:2504.01191 [quant-ph].
- K. Takeda, A. Noiri, T. Nakajima, J. Yoneda, T. Kobayashi, and S. Tarucha, Quantum tomography of an entangled three-qubit state in silicon, Nat. Nanotechnol. 16, 965 (2021).
- S. G. J. Philips, M. T. Mądzik, 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 609, 919 (2022).
- 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).
- J. M. Boter, J. P. Dehollain, J. P. van Dijk, Y. Xu, T. Hensgens, R. Versluis, H. W. Naus, J. S. Clarke, M. Veldhorst, F. Sebastiano, and L. M. Vandersypen, Spiderweb array: A sparse spin-qubit array, Phys. Rev. Appl. 18, 024053 (2022).
- 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).
- 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 591, 580 (2021).
- M. T. Mądzik, S. Asaad, A. Youssry, B. Joecker, K. M. Rudinger, E. Nielsen, K. C. Young, T. J. Proctor, A. D. Baczewski, A. Laucht, V. Schmitt, F. E. Hudson, K. M. Itoh, A. M. Jakob, B. C. Johnson, D. N. Jamieson, A. S. Dzurak, C. Ferrie, R. Blume-Kohout, and A. Morello, Precision tomography of a three-qubit donor quantum processor in silicon, Nature 601, 348 (2022).
- C. A. Stafford and S. Das Sarma, Collective Coulomb blockade in an array of quantum dots: A Mott-Hubbard approach, Phys. Rev. Lett. 72, 3590 (1994).
- 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).
- E. Barnes, J. M. Nichol, and S. E. Economou, Stabilization and manipulation of multispin states in quantum-dot time crystals with Heisenberg interactions, Phys. Rev. B 99, 035311 (2019).
- J. P. Dehollain, U. Mukhopadhyay, V. P. Michal, Y. Wang, B. Wunsch, C. Reichl, W. Wegscheider, M. S. Rudner, E. Demler, and L. M. K. Vandersypen, Nagaoka ferromagnetism observed in a quantum dot plaquette, Nature 579, 528 (2020).
- R. E. Throckmorton and S. Das Sarma, Studying many-body localization in exchange-coupled electron spin qubits using spin-spin correlations, Phys. Rev. B 103, 165431 (2021).
- X. Wang, E. Khatami, F. Fei, J. Wyrick, P. Namboodiri, R. Kashid, A. F. Rigosi, G. Bryant, and R. Silver, Experimental realization of an extended Fermi-Hubbard model using a 2D lattice of dopant-based quantum dots, Nat. Commun. 13, 6824 (2022).
- J. Knörzer, C. J. van Diepen, T.-K. Hsiao, G. Giedke, U. Mukhopadhyay, C. Reichl, W. Wegscheider, J. I. Cirac, and L. M. K. Vandersypen, Long-range electron-electron interactions in quantum dot systems and applications in quantum chemistry, Phys. Rev. Res. 4, 033043 (2022).
- D. Buterakos and S. Das Sarma, Magnetic phases of bilayer quantum-dot Hubbard model plaquettes, Phys. Rev. B 108, 235301 (2023).
- C.-A. Wang, C. Déprez, H. Tidjani, W. I. L. Lawrie, N. W. Hendrickx, A. Sammak, G. Scappucci, and M. Veldhorst, Probing resonating valence bonds on a programmable germanium quantum simulator, npj Quantum Inf. 9, 58 (2023).
- A. Nico-Katz, G. Jaliel, P. Atkinson, T. A. Mitchell, D. A. Ritchie, C. G. Smith, and S. Bose, Identifying many-body localization in realistic dot arrays, arXiv:2301.08246 [cond-mat.dis-nn].
- C. van Diepen, T.-K. Hsiao, U. Mukhopadhyay, C. Reichl, W. Wegscheider, and L. Vandersypen, Quantum simulation of antiferromagnetic Heisenberg chain with gate-defined quantum dots, Phys. Rev. X 11, 041025 (2021).
- M. Lodari, N. W. Hendrickx, W. I. L. Lawrie, T.-K. Hsiao, L. M. K. Vandersypen, A. Sammak, M. Veldhorst, and G. Scappucci, Low percolation density and charge noise with holes in germanium, Mater. Quantum Technol. 1, 011002 (2021).
- 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).
- T.-K. Hsiao, P. Cova Fariña, S. Oosterhout, D. Jirovec, X. Zhang, C. van Diepen, W. Lawrie, C.-A. Wang, A. Sammak, G. Scappucci, M. Veldhorst, E. Demler, and L. Vandersypen, Exciton transport in a germanium quantum dot ladder, Phys. Rev. X 14, 011048 (2024).
- 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 (2024).
- J. Levy, Universal quantum computation with spin-1/2 pairs and Heisenberg exchange, Phys. Rev. Lett. 89, 147902 (2002).
- 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).
- 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 , Nat. Mater. 20, 1106 (2021).
- D. Loss and D. P. DiVincenzo, Quantum computation with quantum dots, Phys. Rev. A 57, 120 (1998).
- Z. Zhou, Y. Li, Z. Wu, X. Ma, S. Fan, and S. Huang, The exchange interaction between neighboring quantum dots: Physics and applications in quantum information processing, J. Semiconduct. 45, 101701 (2024).
- F. Martins, F. K. Malinowski, P. D. Nissen, E. Barnes, S. Fallahi, G. C. Gardner, M. J. Manfra, C. M. Marcus, and F. Kuemmeth, Noise suppression using symmetric exchange gates in spin qubits, Phys. Rev. Lett. 116, 116801 (2016).
- 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).
- 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).
- P. M. Mutter and G. Burkard, All-electrical control of hole singlet-triplet spin qubits at low-leakage points, Phys. Rev. B 104, 195421 (2021).
- D. J. Niegemann, V. El-Homsy, B. Jadot, M. Nurizzo, B. Cardoso-Paz, E. Chanrion, M. Dartiailh, B. Klemt, V. Thiney, C. Bäuerle, P.-A. Mortemousque, B. Bertrand, H. Niebojewski, M. Vinet, F. Balestro, T. Meunier, and M. Urdampilleta, Parity and singlet-triplet high fidelity readout in a silicon double quantum dot at 0.5 K, PRX Quantum 3, 040335 (2022).
- L. Mauro, E. A. Rodríguez-Mena, M. Bassi, V. Schmitt, and Y.-M. Niquet, Geometry of the dephasing sweet spots of spin-orbit qubits, Phys. Rev. B 109, 155406 (2024).
- P. C. Fariña, D. Jirovec, X. Zhang, E. Morozova, S. D. Oosterhout, S. Reale, T.-K. Hsiao, G. Scappucci, M. Veldhorst, and L. M. K. Vandersypen, Site-resolved magnon and triplon dynamics on a programmable quantum dot spin ladder, arXiv:2506.08663.
- 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 / exchange-only qubits with low disorder, Nano Lett. 22, 1443 (2021).
- A. J. Weinstein et al., Universal logic with encoded spin qubits in silicon, Nature 615, 817 (2023).
- H. C. George et al., 12-spin-qubit arrays fabricated on a 300 mm semiconductor manufacturing line, Nano Lett. 25, 793 (2024).
- D. Jirovec, P. C. Fariña, S. Reale, S. D. Oosterhout, X. Zhang, S. deSnoo, A. Sammak, G. Scappucci, M. Veldhorst, and L. M. K. Vandersypen, Data underlying the publication: “Mitigation of exchange crosstalk in dense quantum dot arrays” (2025).
- 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).