Witnessing eigenstates for quantum simulation of Hamiltonian spectra

Santagati, Raffaele; Wang, Jianwei; Gentile, Antonio A.; Paesani, Stefano; Wiebe, Nathan; McClean, Jarrod R.; Morley-Short, Sam; Shadbolt, Peter J.; Bonneau, Damien; Silverstone, Joshua W.; Tew, David P.; Zhou, Xiaoqi; O’Brien, Jeremy L.; Thompson, Mark G.

doi:10.1126/sciadv.aap9646

Title: Witnessing eigenstates for quantum simulation of Hamiltonian spectra

Journal Article · Fri Jan 26 00:00:00 EST 2018 · Science Advances

DOI:https://doi.org/10.1126/sciadv.aap9646· OSTI ID:1494079

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Univ. of Bristol (United Kingdom). Quantum Engineering Technology Labs. H. H. Wills Physics Lab. Dept. of Electrical and Electronic Engineering
Microsoft Research, Redmond, WA (United States). Quantum Architectures and Computation Group
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Computational Research Division; Google Inc., Venice, CA (United States)
Univ. of Bristol (United Kingdom). Quantum Engineering Centre for Doctoral Training. Quantum Engineering Technology Labs. H. H. Wills Physics Lab. Dept. of Electrical and Electronic Engineering
Imperial College London (United Kingdom). Dept. of Physics
Univ. of Bristol (United Kingdom). School of Chemistry; Max Planck Inst. for Solid State Research, Stuttgart (Germany)
Sun Yat-Sen Univ., Guangzhou (China). State Key Lab. of Optoelectronic Materials and Technologies. School of Physics

The efficient calculation of Hamiltonian spectra, a problem often intractable on classical machines, can find application in many fields, from physics to chemistry. We introduce the concept of an “eigenstate witness” and, through it, provide a new quantum approach that combines variational methods and phase estimation to approximate eigenvalues for both ground and excited states. This protocol is experimentally verified on a programmable silicon quantum photonic chip, a mass-manufacturable platform, which embeds entangled state generation, arbitrary controlled unitary operations, and projective measurements. Both ground and excited states are experimentally found with fidelities >99%, and their eigenvalues are estimated with 32 bits of precision. We also investigate and discuss the scalability of the approach and study its performance through numerical simulations of more complex Hamiltonians. This result shows promising progress toward quantum chemistry on quantum computers.

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Research Organization:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC); LBNL Laboratory Directed Research and Development (LDRD) Program; US Army Research Office (ARO); Royal Society (United Kingdom); Engineering and Physical Sciences Research Council (EPSRC); European Research Council (ERC); National Key Research and Development Program (China); National Young 1000 Talents Plan (China); Natural Science Foundation of Guangdong (China)

Grant/Contract Number:: AC02-05CH11231; W911NF-14-013; UF130574; K033085/1; J017175/1; K02193/1; 648667; 608062; 641039; 640079; EP/L015730/1; 2016YFA0301700; 2017YFA0305200; 2016A030312012

OSTI ID:: 1494079

Journal Information:: Science Advances, Vol. 4, Issue 1; ISSN 2375-2548

Publisher:: AAASCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 109 works

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