Averting multi-qubit burst errors in surface code magic state factories (2405.00146v1)
Abstract: Fault-tolerant quantum computation relies on the assumption of time-invariant, sufficiently low physical error rates. However, current superconducting quantum computers suffer from frequent disruptive noise events, including cosmic ray impacts and shifting two-level system defects. Several methods have been proposed to mitigate these issues in software, but they add large overheads in terms of physical qubit count, as it is difficult to preserve logical information through burst error events. We focus on mitigating multi-qubit burst errors in magic state factories, which are expected to comprise up to 95% of the space cost of future quantum programs. Our key insight is that magic state factories do not need to preserve logical information over time; once we detect an increase in local physical error rates, we can simply turn off parts of the factory that are affected, re-map the factory to the new chip geometry, and continue operating. This is much more efficient than previous more general methods, and is resilient even under many simultaneous impact events. Using precise physical noise models, we show an efficient ray detection method and evaluate our strategy in different noise regimes. Compared to existing baselines, we find reductions in ray-induced overheads by several orders of magnitude, reducing total qubitcycle cost by geomean 6.5x to 13.9x depending on the noise model. This work reduces the burden on hardware by providing low-overhead software mitigation of these errors.
- J. Stehlik, D. Zajac, D. Underwood, T. Phung, J. Blair, S. Carnevale, D. Klaus, G. Keefe, A. Carniol, M. Kumph, M. Steffen, and O. Dial, “Tunable Coupling Architecture for Fixed-Frequency Transmon Superconducting Qubits,” Physical Review Letters, vol. 127, no. 8, p. 080505, Aug. 2021. [Online]. Available: https://link.aps.org/doi/10.1103/PhysRevLett.127.080505
- 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, vol. 609, no. 7929, pp. 919–924, Sep. 2022, publisher: Nature Publishing Group. [Online]. Available: https://www.nature.com/articles/s41586-022-05117-x
- A. J. Weinstein, M. D. Reed, A. M. Jones, R. W. Andrews, D. Barnes, J. Z. Blumoff, L. E. Euliss, K. Eng, B. H. Fong, S. D. Ha, D. R. Hulbert, C. A. C. Jackson, M. Jura, T. E. Keating, J. Kerckhoff, A. A. Kiselev, J. Matten, G. Sabbir, A. Smith, J. Wright, M. T. Rakher, T. D. Ladd, and M. G. Borselli, “Universal logic with encoded spin qubits in silicon,” Nature, vol. 615, no. 7954, pp. 817–822, Mar. 2023, publisher: Nature Publishing Group. [Online]. Available: https://www.nature.com/articles/s41586-023-05777-3
- S. J. Evered, D. Bluvstein, M. Kalinowski, S. Ebadi, T. Manovitz, H. Zhou, S. H. Li, A. A. Geim, T. T. Wang, N. Maskara, H. Levine, G. Semeghini, M. Greiner, V. Vuletić, and M. D. Lukin, “High-fidelity parallel entangling gates on a neutral-atom quantum computer,” Nature, vol. 622, no. 7982, pp. 268–272, Oct. 2023, publisher: Nature Publishing Group. [Online]. Available: https://www.nature.com/articles/s41586-023-06481-y
- S. Moses, C. Baldwin, M. Allman, R. Ancona, L. Ascarrunz, C. Barnes, J. Bartolotta, B. Bjork, P. Blanchard, M. Bohn, J. Bohnet, N. Brown, N. Burdick, W. Burton, S. Campbell, J. Campora, C. Carron, J. Chambers, J. Chan, Y. Chen, A. Chernoguzov, E. Chertkov, J. Colina, J. Curtis, R. Daniel, M. DeCross, D. Deen, C. Delaney, J. Dreiling, C. Ertsgaard, J. Esposito, B. Estey, M. Fabrikant, C. Figgatt, C. Foltz, M. Foss-Feig, D. Francois, J. Gaebler, T. Gatterman, C. Gilbreth, J. Giles, E. Glynn, A. Hall, A. Hankin, A. Hansen, D. Hayes, B. Higashi, I. Hoffman, B. Horning, J. Hout, R. Jacobs, J. Johansen, L. Jones, J. Karcz, T. Klein, P. Lauria, P. Lee, D. Liefer, S. Lu, D. Lucchetti, C. Lytle, A. Malm, M. Matheny, B. Mathewson, K. Mayer, D. Miller, M. Mills, B. Neyenhuis, L. Nugent, S. Olson, J. Parks, G. Price, Z. Price, M. Pugh, A. Ransford, A. Reed, C. Roman, M. Rowe, C. Ryan-Anderson, S. Sanders, J. Sedlacek, P. Shevchuk, P. Siegfried, T. Skripka, B. Spaun, R. Sprenkle, R. Stutz, M. Swallows, R. Tobey, A. Tran, T. Tran, E. Vogt, C. Volin, J. Walker, A. Zolot, and J. Pino, “A Race-Track Trapped-Ion Quantum Processor,” Physical Review X, vol. 13, no. 4, p. 041052, Dec. 2023, publisher: American Physical Society. [Online]. Available: https://link.aps.org/doi/10.1103/PhysRevX.13.041052
- P. V. Klimov, A. Bengtsson, C. Quintana, A. Bourassa, S. Hong, A. Dunsworth, K. J. Satzinger, W. P. Livingston, V. Sivak, M. Y. Niu, T. I. Andersen, Y. Zhang, D. Chik, Z. Chen, C. Neill, C. Erickson, A. Grajales Dau, A. Megrant, P. Roushan, A. N. Korotkov, J. Kelly, V. Smelyanskiy, Y. Chen, and H. Neven, “Optimizing quantum gates towards the scale of logical qubits,” Nature Communications, vol. 15, no. 1, p. 2442, Mar. 2024, publisher: Nature Publishing Group. [Online]. Available: https://www.nature.com/articles/s41467-024-46623-y
- M. E. Beverland, P. Murali, M. Troyer, K. M. Svore, T. Hoefler, V. Kliuchnikov, G. H. Low, M. Soeken, A. Sundaram, and A. Vaschillo, “Assessing requirements to scale to practical quantum advantage,” Nov. 2022, arXiv:2211.07629 [quant-ph]. [Online]. Available: http://arxiv.org/abs/2211.07629
- L. Egan, D. M. Debroy, C. Noel, A. Risinger, D. Zhu, D. Biswas, M. Newman, M. Li, K. R. Brown, M. Cetina, and C. Monroe, “Fault-tolerant control of an error-corrected qubit,” Nature, vol. 598, no. 7880, pp. 281–286, Oct. 2021. [Online]. Available: https://www.nature.com/articles/s41586-021-03928-y
- L. Postler, S. Heuβ𝛽\betaitalic_βen, I. Pogorelov, M. Rispler, T. Feldker, M. Meth, C. D. Marciniak, R. Stricker, M. Ringbauer, R. Blatt, P. Schindler, M. Müller, and T. Monz, “Demonstration of fault-tolerant universal quantum gate operations,” Nature, vol. 605, no. 7911, pp. 675–680, May 2022. [Online]. Available: https://www.nature.com/articles/s41586-022-04721-1
- K. Takeda, A. Noiri, T. Nakajima, T. Kobayashi, and S. Tarucha, “Quantum error correction with silicon spin qubits,” Nature, vol. 608, no. 7924, pp. 682–686, Aug. 2022, publisher: Nature Publishing Group. [Online]. Available: https://www.nature.com/articles/s41586-022-04986-6
- Google Quantum AI, R. Acharya, I. Aleiner, R. Allen, T. I. Andersen, M. Ansmann, F. Arute, K. Arya, A. Asfaw, J. Atalaya, R. Babbush, D. Bacon, J. C. Bardin, J. Basso, A. Bengtsson, S. Boixo, G. Bortoli, A. Bourassa, J. Bovaird, L. Brill, M. Broughton, B. B. Buckley, D. A. Buell, T. Burger, B. Burkett, N. Bushnell, Y. Chen, Z. Chen, B. Chiaro, J. Cogan, R. Collins, P. Conner, W. Courtney, A. L. Crook, B. Curtin, D. M. Debroy, A. Del Toro Barba, S. Demura, A. Dunsworth, D. Eppens, C. Erickson, L. Faoro, E. Farhi, R. Fatemi, L. Flores Burgos, E. Forati, A. G. Fowler, B. Foxen, W. Giang, C. Gidney, D. Gilboa, M. Giustina, A. Grajales Dau, J. A. Gross, S. Habegger, M. C. Hamilton, M. P. Harrigan, S. D. Harrington, O. Higgott, J. Hilton, M. Hoffmann, S. Hong, T. Huang, A. Huff, W. J. Huggins, L. B. Ioffe, S. V. Isakov, J. Iveland, E. Jeffrey, Z. Jiang, C. Jones, P. Juhas, D. Kafri, K. Kechedzhi, J. Kelly, T. Khattar, M. Khezri, M. Kieferová, S. Kim, A. Kitaev, P. V. Klimov, A. R. Klots, A. N. Korotkov, F. Kostritsa, J. M. Kreikebaum, D. Landhuis, P. Laptev, K.-M. Lau, L. Laws, J. Lee, K. Lee, B. J. Lester, A. Lill, W. Liu, A. Locharla, E. Lucero, F. D. Malone, J. Marshall, O. Martin, J. R. McClean, T. McCourt, M. McEwen, A. Megrant, B. Meurer Costa, X. Mi, K. C. Miao, M. Mohseni, S. Montazeri, A. Morvan, E. Mount, W. Mruczkiewicz, O. Naaman, M. Neeley, C. Neill, A. Nersisyan, H. Neven, M. Newman, J. H. Ng, A. Nguyen, M. Nguyen, M. Y. Niu, T. E. O’Brien, A. Opremcak, J. Platt, A. Petukhov, R. Potter, L. P. Pryadko, C. Quintana, P. Roushan, N. C. Rubin, N. Saei, D. Sank, K. Sankaragomathi, K. J. Satzinger, H. F. Schurkus, C. Schuster, M. J. Shearn, A. Shorter, V. Shvarts, J. Skruzny, V. Smelyanskiy, W. C. Smith, G. Sterling, D. Strain, M. Szalay, A. Torres, G. Vidal, B. Villalonga, C. Vollgraff Heidweiller, T. White, C. Xing, Z. J. Yao, P. Yeh, J. Yoo, G. Young, A. Zalcman, Y. Zhang, and N. Zhu, “Suppressing quantum errors by scaling a surface code logical qubit,” Nature, vol. 614, no. 7949, pp. 676–681, Feb. 2023. [Online]. Available: https://www.nature.com/articles/s41586-022-05434-1
- D. Bluvstein, S. J. Evered, A. A. Geim, S. H. Li, H. Zhou, T. Manovitz, S. Ebadi, M. Cain, M. Kalinowski, D. Hangleiter, J. P. Bonilla Ataides, N. Maskara, I. Cong, X. Gao, P. Sales Rodriguez, T. Karolyshyn, G. Semeghini, M. J. Gullans, M. Greiner, V. Vuletić, and M. D. Lukin, “Logical quantum processor based on reconfigurable atom arrays,” Nature, vol. 626, no. 7997, pp. 58–65, Feb. 2024, publisher: Nature Publishing Group. [Online]. Available: https://www.nature.com/articles/s41586-023-06927-3%E2%80%A6
- Y. Kim, A. Eddins, S. Anand, K. X. Wei, E. van den Berg, S. Rosenblatt, H. Nayfeh, Y. Wu, M. Zaletel, K. Temme, and A. Kandala, “Evidence for the utility of quantum computing before fault tolerance,” Nature, vol. 618, no. 7965, pp. 500–505, Jun. 2023, publisher: Nature Publishing Group. [Online]. Available: https://www.nature.com/articles/s41586-023-06096-3
- R. C. Bialczak, R. McDermott, M. Ansmann, M. Hofheinz, N. Katz, E. Lucero, M. Neeley, A. D. O’Connell, H. Wang, A. N. Cleland, and J. M. Martinis, “1 / f Flux Noise in Josephson Phase Qubits,” Physical Review Letters, vol. 99, no. 18, p. 187006, Nov. 2007. [Online]. Available: https://link.aps.org/doi/10.1103/PhysRevLett.99.187006
- T. Proctor, M. Revelle, E. Nielsen, K. Rudinger, D. Lobser, P. Maunz, R. Blume-Kohout, and K. Young, “Detecting and tracking drift in quantum information processors,” Nature Communications, vol. 11, no. 1, p. 5396, Oct. 2020, number: 1 Publisher: Nature Publishing Group. [Online]. Available: https://www.nature.com/articles/s41467-020-19074-4
- M. Hanks, W. J. Munro, and K. Nemoto, “Decoding Quantum Error Correction Codes With Local Variation,” IEEE Transactions on Quantum Engineering, vol. 1, pp. 1–8, 2020, conference Name: IEEE Transactions on Quantum Engineering. [Online]. Available: https://ieeexplore.ieee.org/document/8963756
- B. D. Clader, C. J. Trout, J. P. Barnes, K. Schultz, G. Quiroz, and P. Titum, “Impact of correlations and heavy tails on quantum error correction,” Physical Review A, vol. 103, no. 5, p. 052428, May 2021, publisher: American Physical Society. [Online]. Available: https://link.aps.org/doi/10.1103/PhysRevA.103.052428
- C. Berke, E. Varvelis, S. Trebst, A. Altland, and D. P. DiVincenzo, “Transmon platform for quantum computing challenged by chaotic fluctuations,” Nature Communications, vol. 13, no. 1, p. 2495, May 2022, publisher: Nature Publishing Group. [Online]. Available: https://www.nature.com/articles/s41467-022-29940-y
- A. d. iOlius, J. E. Martinez, P. Fuentes, P. M. Crespo, and J. Garcia-Frias, “Performance of surface codes in realistic quantum hardware,” Physical Review A, vol. 106, no. 6, p. 062428, Dec. 2022, publisher: American Physical Society. [Online]. Available: https://link.aps.org/doi/10.1103/PhysRevA.106.062428
- M. S. Carroll, J. R. Wootton, and A. W. Cross, “Subsystem surface and compass code sensitivities to non-identical infidelity distributions on heavy-hex lattice,” Feb. 2024, arXiv:2402.08203 [quant-ph]. [Online]. Available: http://arxiv.org/abs/2402.08203
- J. L. Orrell and B. Loer, “Sensor-Assisted Fault Mitigation in Quantum Computation,” Physical Review Applied, vol. 16, no. 2, p. 024025, Aug. 2021. [Online]. Available: https://link.aps.org/doi/10.1103/PhysRevApplied.16.024025
- C. D. Wilen, S. Abdullah, N. A. Kurinsky, C. Stanford, L. Cardani, G. D’Imperio, C. Tomei, L. Faoro, L. B. Ioffe, C. H. Liu, A. Opremcak, B. G. Christensen, J. L. DuBois, and R. McDermott, “Correlated charge noise and relaxation errors in superconducting qubits,” Nature, vol. 594, no. 7863, pp. 369–373, Jun. 2021, publisher: Nature Publishing Group. [Online]. Available: https://www.nature.com/articles/s41586-021-03557-5
- M. McEwen, L. Faoro, K. Arya, A. Dunsworth, T. Huang, S. Kim, B. Burkett, A. Fowler, F. Arute, J. C. Bardin, A. Bengtsson, A. Bilmes, B. B. Buckley, N. Bushnell, Z. Chen, R. Collins, S. Demura, A. R. Derk, C. Erickson, M. Giustina, S. D. Harrington, S. Hong, E. Jeffrey, J. Kelly, P. V. Klimov, F. Kostritsa, P. Laptev, A. Locharla, X. Mi, K. C. Miao, S. Montazeri, J. Mutus, O. Naaman, M. Neeley, C. Neill, A. Opremcak, C. Quintana, N. Redd, P. Roushan, D. Sank, K. J. Satzinger, V. Shvarts, T. White, Z. J. Yao, P. Yeh, J. Yoo, Y. Chen, V. Smelyanskiy, J. M. Martinis, H. Neven, A. Megrant, L. Ioffe, and R. Barends, “Resolving catastrophic error bursts from cosmic rays in large arrays of superconducting qubits,” Nature Physics, vol. 18, no. 1, pp. 107–111, Jan. 2022, number: 1 Publisher: Nature Publishing Group. [Online]. Available: https://www.nature.com/articles/s41567-021-01432-8
- X.-G. Li, J.-H. Wang, Y.-Y. Jiang, G.-M. Xue, X.-X. Cai, J. Zhou, M. Gong, Z.-F. Liu, S.-Y. Zheng, D.-K. Ma, M. Chen, W.-J. Sun, S. Yang, F. Yan, Y.-R. Jin, X.-F. Ding, and H.-F. Yu, “Direct evidence for cosmic-ray-induced correlated errors in superconducting qubit array,” Feb. 2024, arXiv:2402.04245 [quant-ph]. [Online]. Available: http://arxiv.org/abs/2402.04245
- S. M. Meißner, A. Seiler, J. Lisenfeld, A. V. Ustinov, and G. Weiss, “Probing individual tunneling fluctuators with coherently controlled tunneling systems,” Physical Review B, vol. 97, no. 18, p. 180505, May 2018. [Online]. Available: https://link.aps.org/doi/10.1103/PhysRevB.97.180505
- P. Klimov, J. Kelly, Z. Chen, M. Neeley, A. Megrant, B. Burkett, R. Barends, K. Arya, B. Chiaro, Y. Chen, A. Dunsworth, A. Fowler, B. Foxen, C. Gidney, M. Giustina, R. Graff, T. Huang, E. Jeffrey, E. Lucero, J. Mutus, O. Naaman, C. Neill, C. Quintana, P. Roushan, D. Sank, A. Vainsencher, J. Wenner, T. White, S. Boixo, R. Babbush, V. Smelyanskiy, H. Neven, and J. Martinis, “Fluctuations of Energy-Relaxation Times in Superconducting Qubits,” Physical Review Letters, vol. 121, no. 9, p. 090502, Aug. 2018. [Online]. Available: https://link.aps.org/doi/10.1103/PhysRevLett.121.090502
- S. Schlör, J. Lisenfeld, C. Müller, A. Bilmes, A. Schneider, D. P. Pappas, A. V. Ustinov, and M. Weides, “Correlating Decoherence in Transmon Qubits: Low Frequency Noise by Single Fluctuators,” Physical Review Letters, vol. 123, no. 19, p. 190502, Nov. 2019. [Online]. Available: https://link.aps.org/doi/10.1103/PhysRevLett.123.190502
- C. Müller, J. H. Cole, and J. Lisenfeld, “Towards understanding two-level-systems in amorphous solids: insights from quantum circuits,” Reports on Progress in Physics, vol. 82, no. 12, p. 124501, Dec. 2019. [Online]. Available: https://iopscience.iop.org/article/10.1088/1361-6633/ab3a7e
- M. Carroll, S. Rosenblatt, P. Jurcevic, I. Lauer, and A. Kandala, “Dynamics of superconducting qubit relaxation times,” npj Quantum Information, vol. 8, no. 1, pp. 1–7, Nov. 2022, number: 1 Publisher: Nature Publishing Group. [Online]. Available: https://www.nature.com/articles/s41534-022-00643-y
- Q. Xu, A. Seif, H. Yan, N. Mannucci, B. O. Sane, R. Van Meter, A. N. Cleland, and L. Jiang, “Distributed Quantum Error Correction for Chip-Level Catastrophic Errors,” Physical Review Letters, vol. 129, no. 24, p. 240502, Dec. 2022. [Online]. Available: https://link.aps.org/doi/10.1103/PhysRevLett.129.240502
- B. O. Sane, R. V. Meter, and M. Hajdusek, “Fight or Flight: Cosmic Ray-Induced Phonons and the Quantum Surface Code*,” in 2023 IEEE International Conference on Quantum Computing and Engineering (QCE), vol. 01, Sep. 2023, pp. 1378–1388. [Online]. Available: https://ieeexplore.ieee.org/document/10313745
- A. Siegel, A. Strikis, T. Flatters, and S. Benjamin, “Adaptive surface code for quantum error correction in the presence of temporary or permanent defects,” Quantum, vol. 7, p. 1065, Jul. 2023, publisher: Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften. [Online]. Available: https://quantum-journal.org/papers/q-2023-07-25-1065/
- A. Strikis, S. C. Benjamin, and B. J. Brown, “Quantum Computing is Scalable on a Planar Array of Qubits with Fabrication Defects,” Physical Review Applied, vol. 19, no. 6, p. 064081, Jun. 2023, publisher: American Physical Society. [Online]. Available: https://link.aps.org/doi/10.1103/PhysRevApplied.19.064081
- Y. Suzuki, T. Sugiyama, T. Arai, W. Liao, K. Inoue, and T. Tanimoto, “Q3DE: A fault-tolerant quantum computer architecture for multi-bit burst errors by cosmic rays,” in 2022 55th IEEE/ACM International Symposium on Microarchitecture (MICRO). Chicago, IL, USA: IEEE, Oct. 2022, pp. 1110–1125. [Online]. Available: https://ieeexplore.ieee.org/document/9923816/
- R. Babbush, C. Gidney, D. W. Berry, N. Wiebe, J. McClean, A. Paler, A. Fowler, and H. Neven, “Encoding Electronic Spectra in Quantum Circuits with Linear T Complexity,” Physical Review X, vol. 8, no. 4, p. 041015, Oct. 2018, publisher: American Physical Society. [Online]. Available: https://link.aps.org/doi/10.1103/PhysRevX.8.041015
- N. S. Blunt, G. P. Gehér, and A. E. Moylett, “Compilation of a simple chemistry application to quantum error correction primitives,” Physical Review Research, vol. 6, no. 1, p. 013325, Mar. 2024, publisher: American Physical Society. [Online]. Available: https://link.aps.org/doi/10.1103/PhysRevResearch.6.013325
- J. Kelly, R. Barends, A. G. Fowler, A. Megrant, E. Jeffrey, T. C. White, D. Sank, J. Y. Mutus, B. Campbell, Y. Chen, Z. Chen, B. Chiaro, A. Dunsworth, E. Lucero, M. Neeley, C. Neill, P. J. J. O’Malley, C. Quintana, P. Roushan, A. Vainsencher, J. Wenner, and J. M. Martinis, “Scalable in situ qubit calibration during repetitive error detection,” Physical Review A, vol. 94, no. 3, p. 032321, Sep. 2016. [Online]. Available: https://link.aps.org/doi/10.1103/PhysRevA.94.032321
- L. Cardani, I. Colantoni, A. Cruciani, F. De Dominicis, G. D’Imperio, M. Laubenstein, A. Mariani, L. Pagnanini, S. Pirro, C. Tomei, N. Casali, F. Ferroni, D. Frolov, L. Gironi, A. Grassellino, M. Junker, C. Kopas, E. Lachman, C. R. H. McRae, J. Mutus, M. Nastasi, D. P. Pappas, R. Pilipenko, M. Sisti, V. Pettinacci, A. Romanenko, D. Van Zanten, M. Vignati, J. D. Withrow, and N. Z. Zhelev, “Disentangling the sources of ionizing radiation in superconducting qubits,” The European Physical Journal C, vol. 83, no. 1, p. 94, Jan. 2023. [Online]. Available: https://doi.org/10.1140/epjc/s10052-023-11199-2
- L. Sun, L. DiCarlo, M. D. Reed, G. Catelani, L. S. Bishop, D. I. Schuster, B. R. Johnson, G. A. Yang, L. Frunzio, L. Glazman, M. H. Devoret, and R. J. Schoelkopf, “Measurements of Quasiparticle Tunneling Dynamics in a Band-Gap-Engineered Transmon Qubit,” Physical Review Letters, vol. 108, no. 23, p. 230509, Jun. 2012, publisher: American Physical Society. [Online]. Available: https://link.aps.org/doi/10.1103/PhysRevLett.108.230509
- X. Pan, Y. Zhou, H. Yuan, L. Nie, W. Wei, L. Zhang, J. Li, S. Liu, Z. H. Jiang, G. Catelani, L. Hu, F. Yan, and D. Yu, “Engineering superconducting qubits to reduce quasiparticles and charge noise,” Nature Communications, vol. 13, no. 1, p. 7196, Nov. 2022, publisher: Nature Publishing Group. [Online]. Available: https://www.nature.com/articles/s41467-022-34727-2
- G. Marchegiani, L. Amico, and G. Catelani, “Quasiparticles in Superconducting Qubits with Asymmetric Junctions,” PRX Quantum, vol. 3, no. 4, p. 040338, Dec. 2022, publisher: American Physical Society. [Online]. Available: https://link.aps.org/doi/10.1103/PRXQuantum.3.040338
- P. Kamenov, T. DiNapoli, M. Gershenson, and S. Chakram, “Suppression of quasiparticle poisoning in transmon qubits by gap engineering,” Sep. 2023, arXiv:2309.02655 [cond-mat, physics:quant-ph]. [Online]. Available: http://arxiv.org/abs/2309.02655
- M. McEwen, K. C. Miao, J. Atalaya, A. Bilmes, A. Crook, J. Bovaird, J. M. Kreikebaum, N. Zobrist, E. Jeffrey, B. Ying, A. Bengtsson, H.-S. Chang, A. Dunsworth, J. Kelly, Y. Zhang, E. Forati, R. Acharya, J. Iveland, W. Liu, S. Kim, B. Burkett, A. Megrant, Y. Chen, C. Neill, D. Sank, M. Devoret, and A. Opremcak, “Resisting high-energy impact events through gap engineering in superconducting qubit arrays,” Feb. 2024, arXiv:2402.15644 [quant-ph]. [Online]. Available: http://arxiv.org/abs/2402.15644
- T. Thorbeck, A. Eddins, I. Lauer, D. T. McClure, and M. Carroll, “Two-Level-System Dynamics in a Superconducting Qubit Due to Background Ionizing Radiation,” PRX Quantum, vol. 4, no. 2, p. 020356, Jun. 2023. [Online]. Available: https://link.aps.org/doi/10.1103/PRXQuantum.4.020356
- V. Iaia, J. Ku, A. Ballard, C. P. Larson, E. Yelton, C. H. Liu, S. Patel, R. McDermott, and B. L. T. Plourde, “Phonon downconversion to suppress correlated errors in superconducting qubits,” Nature Communications, vol. 13, no. 1, p. 6425, Oct. 2022, publisher: Nature Publishing Group. [Online]. Available: https://www.nature.com/articles/s41467-022-33997-0
- A. Y. Kitaev, “Quantum Error Correction with Imperfect Gates,” in Quantum Communication, Computing, and Measurement, O. Hirota, A. S. Holevo, and C. M. Caves, Eds. Boston, MA: Springer US, 1997, pp. 181–188. [Online]. Available: https://doi.org/10.1007/978-1-4615-5923-8_19
- ——, “Fault-tolerant quantum computation by anyons,” Annals of Physics, vol. 303, no. 1, pp. 2–30, Jan. 2003. [Online]. Available: https://www.sciencedirect.com/science/article/pii/S0003491602000180
- S. Bravyi and A. Kitaev, “Universal Quantum Computation with ideal Clifford gates and noisy ancillas,” Physical Review A, vol. 71, no. 2, p. 022316, Feb. 2005, arXiv:quant-ph/0403025. [Online]. Available: http://arxiv.org/abs/quant-ph/0403025
- D. Horsman, A. G. Fowler, S. Devitt, and R. V. Meter, “Surface code quantum computing by lattice surgery,” New Journal of Physics, vol. 14, no. 12, p. 123011, Dec. 2012, publisher: IOP Publishing. [Online]. Available: https://dx.doi.org/10.1088/1367-2630/14/12/123011
- D. Litinski, “A Game of Surface Codes: Large-Scale Quantum Computing with Lattice Surgery,” Quantum, vol. 3, p. 128, Mar. 2019, arXiv:1808.02892 [cond-mat, physics:quant-ph]. [Online]. Available: http://arxiv.org/abs/1808.02892
- A. G. Fowler and C. Gidney, “Low overhead quantum computation using lattice surgery,” Aug. 2019, arXiv:1808.06709 [quant-ph]. [Online]. Available: http://arxiv.org/abs/1808.06709
- C. Chamberland and E. T. Campbell, “Universal Quantum Computing with Twist-Free and Temporally Encoded Lattice Surgery,” PRX Quantum, vol. 3, no. 1, p. 010331, Feb. 2022. [Online]. Available: https://link.aps.org/doi/10.1103/PRXQuantum.3.010331
- D. Litinski, “Magic State Distillation: Not as Costly as You Think,” Quantum, vol. 3, p. 205, Dec. 2019, arXiv:1905.06903 [quant-ph]. [Online]. Available: http://arxiv.org/abs/1905.06903
- S. Bravyi and J. Haah, “Magic-state distillation with low overhead,” Physical Review A, vol. 86, no. 5, p. 052329, Nov. 2012, publisher: American Physical Society. [Online]. Available: https://link.aps.org/doi/10.1103/PhysRevA.86.052329
- C. Gidney, “Stim: a fast stabilizer circuit simulator,” Quantum, vol. 5, p. 497, Jul. 2021, arXiv:2103.02202 [quant-ph]. [Online]. Available: http://arxiv.org/abs/2103.02202
- M. Grassl, T. Beth, and T. Pellizzari, “Codes for the quantum erasure channel,” Physical Review A, vol. 56, no. 1, pp. 33–38, Jul. 1997, publisher: American Physical Society. [Online]. Available: https://link.aps.org/doi/10.1103/PhysRevA.56.33
- A. M. Steane, “Simple quantum error-correcting codes,” Physical Review A, vol. 54, no. 6, pp. 4741–4751, Dec. 1996. [Online]. Available: https://link.aps.org/doi/10.1103/PhysRevA.54.4741
- A. Mariani, L. Cardani, N. Casali, A. Cruciani, A. Grassellino, V. Pettinacci, D. Van Zanten, and M. Vignati, “Mitigation of Cosmic Rays-Induced Errors in Superconducting Quantum Processors,” in 2023 IEEE International Conference on Quantum Computing and Engineering (QCE), vol. 01, Sep. 2023, pp. 1389–1393. [Online]. Available: https://ieeexplore.ieee.org/document/10313842