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Quantum Simulation with Hybrid Tensor Networks

Yuan, Xiao and Sun, Jinzhao and Liu, Junyu and Zhao, Qi and Zhou, You (2021) Quantum Simulation with Hybrid Tensor Networks. Physical Review Letters, 127 (4). Art. No. 040501. ISSN 0031-9007. doi:10.1103/physrevlett.127.040501.

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Tensor network theory and quantum simulation are, respectively, the key classical and quantum computing methods in understanding quantum many-body physics. Here, we introduce the framework of hybrid tensor networks with building blocks consisting of measurable quantum states and classically contractable tensors, inheriting both their distinct features in efficient representation of many-body wave functions. With the example of hybrid tree tensor networks, we demonstrate efficient quantum simulation using a quantum computer whose size is significantly smaller than the one of the target system. We numerically benchmark our method for finding the ground state of 1D and 2D spin systems of up to 8×8 and 9×8 qubits with operations only acting on 8+1 and 9+1 qubits, respectively. Our approach sheds light on simulation of large practical problems with intermediate-scale quantum computers, with potential applications in chemistry, quantum many-body physics, quantum field theory, and quantum gravity thought experiments.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Yuan, Xiao0000-0003-0205-6545
Sun, Jinzhao0000-0003-3278-5618
Liu, Junyu0000-0003-1669-8039
Zhao, Qi0000-0002-8091-0682
Zhou, You0000-0003-0886-077X
Additional Information:© 2021 American Physical Society. Received 2 November 2020; revised 28 April 2021; accepted 14 June 2021; published 20 July 2021. We thank Suguru Endo, Patrick Hayden, Arthur Jaffe, Sam McArdle, John Preskill, Vlatko Vedral, and Ying Li for insightful, related discussions and comments. J. S. thanks Chenbing Wang for useful discussions on the numerics. X. Y acknowledges support from the Simons Foundation. J. L. is supported in part by the Institute for Quantum Information and Matter (IQIM), an NSF Physics Frontiers Center (NSF Grant No. PHY-1125565) with support from the Gordon and Betty Moore Foundation (GBMF-2644), and by the Walter Burke Institute for Theoretical Physics. Q. Z. acknowledges the support by the U.S. Department of Defense through the Hartree Postdoctoral Fellowship at QuICS. Y. Z. was supported in part by the Templeton Religion Trust under Grant No. TRT 0159 and by the ARO under Contract No. W911NF1910302.
Group:Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Simons FoundationUNSPECIFIED
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
Gordon and Betty Moore FoundationGBMF-2644
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Department of DefenseUNSPECIFIED
Templeton Religion TrustTRT 0159
Army Research Office (ARO)W911NF1910302
Issue or Number:4
Record Number:CaltechAUTHORS:20210821-163118813
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:110365
Deposited By: Tony Diaz
Deposited On:21 Aug 2021 16:40
Last Modified:21 Aug 2021 16:40

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