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Title: Witnessing eigenstates for quantum simulation of Hamiltonian spectra

Journal Article · · Science Advances
ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [2]; ORCiD logo [3]; ORCiD logo [4]; ORCiD logo [5]; ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [6]; ORCiD logo [7]; ORCiD logo [1]; ORCiD logo [1]
  1. Univ. of Bristol (United Kingdom). Quantum Engineering Technology Labs. H. H. Wills Physics Lab. Dept. of Electrical and Electronic Engineering
  2. Microsoft Research, Redmond, WA (United States). Quantum Architectures and Computation Group
  3. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Computational Research Division; Google Inc., Venice, CA (United States)
  4. 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
  5. Imperial College London (United Kingdom). Dept. of Physics
  6. Univ. of Bristol (United Kingdom). School of Chemistry; Max Planck Inst. for Solid State Research, Stuttgart (Germany)
  7. 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.

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; Army Research Office (ARO) (United States); Royal Society (United Kingdom); Engineering and Physical Sciences Research Council (EPSRC) (United Kingdom); 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
OSTI ID:
1494079
Journal Information:
Science Advances, Journal Name: Science Advances Journal Issue: 1 Vol. 4; ISSN 2375-2548
Publisher:
AAASCopyright Statement
Country of Publication:
United States
Language:
English

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