학술논문
Purification-based quantum error mitigation of pair-correlated electron simulations
Document Type
Working Paper
Author
O'Brien, T. E.; Anselmetti, G.; Gkritsis, F.; Elfving, V. E.; Polla, S.; Huggins, W. J.; Oumarou, O.; Kechedzhi, K.; Abanin, D.; Acharya, R.; Aleiner, I.; Allen, R.; Andersen, T. I.; Anderson, K.; Ansmann, M.; Arute, F.; Arya, K.; Asfaw, A.; Atalaya, J.; Bacon, D.; Bardin, J. C.; Bengtsson, A.; Boixo, S.; Bortoli, G.; Bourassa, A.; Bovaird, J.; Brill, L.; Broughton, M.; Buckley, B.; Buell, D. A.; Burger, T.; Burkett, B.; Bushnell, N.; Campero, J.; Chen, Y.; Chen, Z.; Chiaro, B.; Chik, D.; Cogan, J.; Collins, R.; Conner, P.; Courtney, W.; Crook, A. L.; Curtin, B.; Debroy, D. M.; Demura, S.; Drozdov, I.; Dunsworth, A.; Erickson, C.; Faoro, L.; Farhi, E.; Fatemi, R.; Ferreira, V. S.; Burgos, L. Flores; Forati, E.; Fowler, A. G.; Foxen, B.; Giang, W.; Gidney, C.; Gilboa, D.; Giustina, M.; Gosula, R.; Dau, A. Grajales; Gross, J. A.; Habegger, S.; Hamilton, M. C.; Hansen, M.; Harrigan, M. P.; Harrington, S. D.; Heu, P.; Hilton, J.; Hoffmann, M. R.; Hong, S.; Huang, T.; Huff, A.; Ioffe, L. B.; Isakov, S. V.; Iveland, J.; Jeffrey, E.; Jiang, Z.; Jones, C.; Juhas, P.; Kafri, D.; Kelly, J.; Khattar, T.; Khezri, M.; Kieferová, M.; Kim, S.; Klimov, P. V.; Klots, A. R.; Kothari, R.; Korotkov, A. N.; Kostritsa, F.; Kreikebaum, J. M.; Landhuis, D.; Laptev, P.; Lau, K.; Laws, L.; Lee, J.; Lee, K.; Lester, B. J.; Lill, A. T.; Liu, W.; Livingston, W. P.; Locharla, A.; Lucero, E.; Malone, F. D.; Mandra, S.; Martin, O.; Martin, S.; McClean, J. R.; McCourt, T.; McEwen, M.; Megrant, A.; Mi, X.; Mieszala, A.; Miao, K. C.; Mohseni, M.; Montazeri, S.; Morvan, A.; Movassagh, R.; Mruczkiewicz, W.; Naaman, O.; Neeley, M.; Neill, C.; Nersisyan, A.; Neven, H.; Newman, M.; Ng, J. H.; Nguyen, A.; Nguyen, M.; Niu, M. Y.; Omonije, S.; Opremcak, A.; Petukhov, A.; Potter, R.; Pryadko, L. P.; Quintana, C.; Rocque, C.; Roushan, P.; Saei, N.; Sank, D.; Sankaragomathi, K.; Satzinger, K. J.; Schurkus, H. F.; Schuster, C.; Shearn, M. J.; Shorter, A.; Shutty, N.; Shvarts, V.; Skruzny, J.; Smelyanskiy, V.; Smith, W. C.; Somma, R.; Sterling, G.; Strain, D.; Szalay, M.; Thor, D.; Torres, A.; Vidal, G.; Villalonga, B.; Heidweiller, C. Vollgraff; White, T.; Woo, B. W. K.; Xing, C.; Yao, Z. J.; Yeh, P.; Yoo, J.; Young, G.; Zalcman, A.; Zhang, Y.; Zhu, N.; Zobrist, N.; Gogolin, C.; Babbush, R.; Rubin, N. C.
Source
Nat. Phys. (2023)
Subject
Language
Abstract
An important measure of the development of quantum computing platforms has been the simulation of increasingly complex physical systems. Prior to fault-tolerant quantum computing, robust error mitigation strategies are necessary to continue this growth. Here, we study physical simulation within the seniority-zero electron pairing subspace, which affords both a computational stepping stone to a fully correlated model, and an opportunity to validate recently introduced ``purification-based'' error-mitigation strategies. We compare the performance of error mitigation based on doubling quantum resources in time (echo verification) or in space (virtual distillation), on up to $20$ qubits of a superconducting qubit quantum processor. We observe a reduction of error by one to two orders of magnitude below less sophisticated techniques (e.g. post-selection); the gain from error mitigation is seen to increase with the system size. Employing these error mitigation strategies enables the implementation of the largest variational algorithm for a correlated chemistry system to-date. Extrapolating performance from these results allows us to estimate minimum requirements for a beyond-classical simulation of electronic structure. We find that, despite the impressive gains from purification-based error mitigation, significant hardware improvements will be required for classically intractable variational chemistry simulations.
Comment: 10 pages, 13 page supplementary material, 12 figures. Experimental data available at https://doi.org/10.5281/zenodo.7225821
Comment: 10 pages, 13 page supplementary material, 12 figures. Experimental data available at https://doi.org/10.5281/zenodo.7225821