Subspace variational quantum simulator on superconducting qubit system

ORAL

Abstract

Quantum simulation is one of the key applications of quantum computing, which accelerates research and development in the fields such as chemistry and material science. The recent development of noisy intermediate-scale quantum (NISQ) devices urges the exploration of applications without the necessity of quantum error correction. Here, we propose an efficient method to simulate quantum dynamics driven by a static Hamiltonian on NISQ devices, named subspace variational quantum simulator (SVQS). SVQS employs the subspace-search variational eigensolver (SSVQE) to find a low-lying subspace and extends it to simulate dynamics within the subspace with lower overhead compared to the existing schemes. We successfully simulate the time evolution of a quantum state in a hydrogen molecule with the subspace process fidelity from 0.90 to 0.99 using superconducting qubits.

*This work was supported by QunaSys. K.H., K.M.N, and K.M. thanks IPA for its support through MITOU Target program. K.H. is supported by JSPS KAKENHI(No. JP21J15221). K.M.N is supported by JSPS KAK-ENHI (No. 20J13955) and the Daikin Endowed ResearchUnit: "Research on Physics of Intelligence", School of Science, the University of Tokyo. K.M. is supported byJST PRESTO (No. JPMJPR2019) and JSPS KAKENHI(No. 20K22330). K.F. is supported by JSPS KAKENHI(No. 16H02211), JST ERATO (No. JPMJER1601), andJST CREST (No. JPMJCR1673). Y.S. is supported by JST, PRESTO (No. JPMJPR1916). K.H., Y.S., Z.Y., K.Z., T.S., S.T., Y.T., and Y.N. are partly supported by JST ERATO (No. JPMJER1601) and by MEXT Q-LEAP (No. JPMXS01180

–

Publication: https://arxiv.org/abs/1904.08566

Presenters

  • Heya Kentaro

    • RCAST, The University of Tokyo

Authors

  • Heya Kentaro

    • RCAST, The University of Tokyo

  • Nakanishi M Ken

    • iπ, The University of Tokyo

  • Kosuke Mitarai

    • QIQB, Osaka University
    • QIQB, Osaka University; Osaka University; JST PRESTO

  • Zhiguang Yan

    • RIKEN Center for Quantum Computing

  • Zuo Kun

    • RIKEN Center for Quantum Computing

  • Suzuki Yasunari

    • NTT Corporation
    • CD Lab, NTT Corporation

  • Sugiyama Takanori

    • RCAST, The University of Tokyo

  • Tamate Shuhei

    • RIKEN Center for Quantum Computing

  • Yutaka Tabuchi

    • RIKEN Center for Quantum Computing

  • Keisuke Fujii

    • QIQB, Osaka University
    • QIQB, Osaka University; Osaka University; RIKEN Center for Quantum Computing

  • Yasunobu Nakamura

    • RIKEN Center for Quantum Computing
    • RIKEN Center for Quantum Computing; Research Center for Advanced Science and Technology (RCAST), The University of Tokyo
    • Univ of Tokyo
    • RCAST, The University of Tokyo; RIKEN Center for Quantum Computing