Purification-based quantum error mitigation of pair-correlated electron simulations
Creators: name: O'Brien, T. E.
name: Anselmetti, G.
name: Gkritsis, F.
name: Elfving, V. E.
name: Polla, S.
name: Huggins, W. J.
name: Oumarou, O.
name: Kechedzhi, K.
name: Abanin, D.
name: Acharya, R.
name: Aleiner, I.
name: Allen, R.
name: Andersen, T. I.
name: Anderson, K.
name: Ansmann, M.
name: Arute, F.
name: Arya, K.
name: Asfaw, A.
name: Atalaya, J.
name: Bacon, D.
name: Bardin, J. C.
name: Bengtsson, A.
name: Boixo, S.
name: Bortoli, G.
name: Bourassa, A.
name: Bovaird, J.
name: Brill, L.
name: Broughton, M.
name: Buckley, B.
name: Buell, D. A.
name: Burger, T.
name: Burkett, B.
name: Bushnell, N.
name: Campero, J.
name: Chen, Y.
name: Chen, Z.
name: Chiaro, B.
name: Chik, D.
name: Cogan, J.
name: Collins, R.
name: Conner, P.
name: Courtney, W.
name: Crook, A. L.
name: Curtin, B.
name: Debroy, D. M.
name: Demura, S.
name: Drozdov, I.
name: Dunsworth, A.
name: Erickson, C.
name: Faoro, L.
name: Farhi, E.
name: Fatemi, R.
name: Ferreira, V. S.
name: Burgos, L. Flores
name: Forati, E.
name: Fowler, A. G.
name: Foxen, B.
name: Giang, W.
name: Gidney, C.
name: Gilboa, D.
name: Giustina, M.
name: Gosula, R.
name: Dau, A. Grajales
name: Gross, J. A.
name: Habegger, S.
name: Hamilton, M. C.
name: Hansen, M.
name: Harrigan, M. P.
name: Harrington, S. D.
name: Heu, P.
name: Hilton, J.
name: Hoffmann, M. R.
name: Hong, S.
name: Huang, T.
name: Huff, A.
name: Ioffe, L. B.
name: Isakov, S. V.
name: Iveland, J.
name: Jeffrey, E.
name: Jiang, Z.
name: Jones, C.
name: Juhas, P.
name: Kafri, D.
name: Kelly, J.
name: Khattar, T.
name: Khezri, M.
name: Kieferová, M.
name: Kim, S.
name: Klimov, P. V.
name: Klots, A. R.
name: Kothari, R.
name: Korotkov, A. N.
name: Kostritsa, F.
name: Kreikebaum, J. M.
name: Landhuis, D.
name: Laptev, P.
name: Lau, K.
name: Laws, L.
name: Lee, J.
name: Lee, K.
name: Lester, B. J.
name: Lill, A. T.
name: Liu, W.
name: Livingston, W. P.
name: Locharla, A.
name: Lucero, E.
name: Malone, F. D.
name: Mandra, S.
name: Martin, O.
name: Martin, S.
name: McClean, J. R.
name: McCourt, T.
name: McEwen, M.
name: Megrant, A.
name: Mi, X.
name: Mieszala, A.
name: Miao, K. C.
name: Mohseni, M.
name: Montazeri, S.
name: Morvan, A.
name: Movassagh, R.
name: Mruczkiewicz, W.
name: Naaman, O.
name: Neeley, M.
name: Neill, C.
name: Nersisyan, A.
name: Neven, H.
name: Newman, M.
name: Ng, J. H.
name: Nguyen, A.
name: Nguyen, M.
name: Niu, M. Y.
name: Omonije, S.
name: Opremcak, A.
name: Petukhov, A.
name: Potter, R.
name: Pryadko, L. P.
name: Quintana, C.
name: Rocque, C.
name: Roushan, P.
name: Saei, N.
name: Sank, D.
name: Sankaragomathi, K.
name: Satzinger, K. J.
name: Schurkus, H. F.
name: Schuster, C.
name: Shearn, M. J.
name: Shorter, A.
name: Shutty, N.
name: Shvarts, V.
name: Skruzny, J.
name: Smelyanskiy, V.
name: Smith, W. C.
name: Somma, R.
name: Sterling, G.
name: Strain, D.
name: Szalay, M.
name: Thor, D.
name: Torres, A.
name: Vidal, G.
name: Villalonga, B.
name: Heidweiller, C. Vollgraff
name: White, T.
name: Woo, B. W. K.
name: Xing, C.
name: Yao, Z. J.
name: Yeh, P.
name: Yoo, J.
name: Young, G.
name: Zalcman, A.
name: Zhang, Y.
name: Zhu, N.
name: Zobrist, N.
name: Gogolin, C.
name: Babbush, R.
name: Rubin, N. C.
Publisher: name: arXiv
Year: 2022
Subjects: subject: Quantum Physics (quant-ph)
subject: FOS: Physical sciences
subject: FOS: Physical sciences

description: 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.
description: 10 pages, 13 page supplementary material, 12 figures. Experimental data available at https://doi.org/10.5281/zenodo.7225821