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Article ; Online: Dynamics of magnetization at infinite temperature in a Heisenberg spin chain.

Rosenberg, E / Andersen, T I / Samajdar, R / Petukhov, A / Hoke, J C / Abanin, D / Bengtsson, A / Drozdov, I K / Erickson, C / Klimov, P V / Mi, X / Morvan, A / Neeley, M / Neill, C / Acharya, R / Allen, R / Anderson, K / Ansmann, M / Arute, F /

Arya, K / Asfaw, A / Atalaya, J / Bardin, J C / Bilmes, A / Bortoli, G / Bourassa, A / Bovaird, J / Brill, L / Broughton, M / Buckley, B B / Buell, D A / Burger, T / Burkett, B / Bushnell, N / Campero, J / Chang, H-S / Chen, Z / Chiaro, B / Chik, D / Cogan, J / Collins, R / Conner, P / Courtney, W / Crook, A L / Curtin, B / Debroy, D M / Barba, A Del Toro / Demura, S / Di Paolo, A / Dunsworth, A / Earle, C / Faoro, L / Farhi, E / Fatemi, R / Ferreira, V S / Burgos, L Flores / Forati, E / Fowler, A G / Foxen, B / Garcia, G / Genois, É / 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 / Hill, G / Hoffmann, M R / Hong, S / Huang, T / Huff, A / Huggins, W J / Ioffe, L B / Isakov, S V / Iveland, J / Jeffrey, E / Jiang, Z / Jones, C / Juhas, P / Kafri, D / Khattar, T / Khezri, M / Kieferová, M / Kim, S / Kitaev, A / Klots, A R / Korotkov, A N / Kostritsa, F / Kreikebaum, J M / Landhuis, D / Laptev, P / Lau, K-M / Laws, L / Lee, J / Lee, K W / Lensky, Y D / Lester, B J / Lill, A T / Liu, W / Locharla, A / Mandrà, S / Martin, O / Martin, S / McClean, J R / McEwen, M / Meeks, S / Miao, K C / Mieszala, A / Montazeri, S / Movassagh, R / Mruczkiewicz, W / Nersisyan, A / Newman, M / Ng, J H / Nguyen, A / Nguyen, M / Niu, M Y / O'Brien, T E / Omonije, S / Opremcak, A / Potter, R / Pryadko, L P / Quintana, C / Rhodes, D M / Rocque, C / Rubin, N C / Saei, N / Sank, D / Sankaragomathi, K / Satzinger, K J / Schurkus, H F / Schuster, C / Shearn, M J / Shorter, A / Shutty, N / Shvarts, V / Sivak, V / Skruzny, J / Smith, W Clarke / Somma, R D / 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 Jamie / Yeh, P / Yoo, J / Young, G / Zalcman, A / Zhang, Y / Zhu, N / Zobrist, N / Neven, H / Babbush, R / Bacon, D / Boixo, S / Hilton, J / Lucero, E / Megrant, A / Kelly, J / Chen, Y / Smelyanskiy, V / Khemani, V / Gopalakrishnan, S / Prosen, T / Roushan, P

Science (New York, N.Y.)

2024 Volume 384, Issue 6691, Page(s) 48–53

Abstract: Understanding universal aspects of quantum dynamics is an unresolved problem in statistical mechanics. In particular, the spin dynamics of the one-dimensional Heisenberg model were conjectured as to belong to the Kardar-Parisi-Zhang (KPZ) universality ... ...

Abstract	Understanding universal aspects of quantum dynamics is an unresolved problem in statistical mechanics. In particular, the spin dynamics of the one-dimensional Heisenberg model were conjectured as to belong to the Kardar-Parisi-Zhang (KPZ) universality class based on the scaling of the infinite-temperature spin-spin correlation function. In a chain of 46 superconducting qubits, we studied the probability distribution of the magnetization transferred across the chain's center, [Formula: see text]. The first two moments of [Formula: see text] show superdiffusive behavior, a hallmark of KPZ universality. However, the third and fourth moments ruled out the KPZ conjecture and allow for evaluating other theories. Our results highlight the importance of studying higher moments in determining dynamic universality classes and provide insights into universal behavior in quantum systems.
Language	English
Publishing date	2024-04-04
Publishing country	United States
Document type	Journal Article
ZDB-ID	128410-1
ISSN	1095-9203 ; 0036-8075
ISSN (online)	1095-9203
ISSN	0036-8075
DOI	10.1126/science.adi7877
Database	MEDical Literature Analysis and Retrieval System OnLINE

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Book ; Online: Purification-based quantum error mitigation of pair-correlated electron simulations

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.

2022

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. ... ...

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
Keywords	Quantum Physics
Subject code	710
Publishing date	2022-10-19
Publishing country	us
Document type	Book ; Online
Database	BASE - Bielefeld Academic Search Engine (life sciences selection)

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