Variational dynamics as a ground-state problem on a quantum computer


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{
  "revision": 7, 
  "metadata": {
    "publication_date": "Nov 10, 2022, 09:11:32", 
    "_oai": {
      "id": "oai:materialscloud.org:1529"
    }, 
    "license": "Creative Commons Attribution 4.0 International", 
    "description": "We propose a variational algorithm to study the real time dynamics of quantum systems as a ground-state problem on quantum devices. The method is based on the original proposal of Feynman and Kitaev to encode time into a register of auxiliary qubits.\nWe prepare the Feynman-Kitaev Hamiltonian acting on the composed system as a qubit operator and find an approximate ground state using the Variational Quantum Eigensolver. We apply the algorithm to the study of the dynamics of a transverse field Ising chain with an increasing number of spins and time steps, proving a favorable scaling in terms of the number of two qubit gates.\nThrough numerical experiments, we investigate its robustness against hardware noise, showing that the method can be use to evaluate dynamical properties of quantum systems and detect the presence of dynamical quantum phase transitions by measuring Loschmidt echoes. \nThe scripts provided implement the algorithm both in Python, using the Qiskit library, and in Julia, using the Yao.jl package.\nMoreover, we included the data to reproduce the figures of the manuscript without running the simulations.", 
    "contributors": [
      {
        "familyname": "Barison", 
        "affiliations": [
          "Institute of Physics, \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland", 
          "National Centre for Computational Design and Discovery of Novel Materials MARVEL, EPFL, Lausanne, Switzerland"
        ], 
        "email": "stefano.barison@epfl.ch", 
        "givennames": "Stefano"
      }, 
      {
        "familyname": "Vicentini", 
        "affiliations": [
          "Institute of Physics, \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland"
        ], 
        "givennames": "Filippo"
      }, 
      {
        "familyname": "Cirac", 
        "affiliations": [
          "Max-Planck-Institut f\u00fcr Quantenoptik, Hans-Kopfermann-Str. 1, 85748 Garching, Germany"
        ], 
        "givennames": "Ignacio"
      }, 
      {
        "familyname": "Carleo", 
        "affiliations": [
          "Institute of Physics, \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland", 
          "National Centre for Computational Design and Discovery of Novel Materials MARVEL, EPFL, Lausanne, Switzerland"
        ], 
        "givennames": "Giuseppe"
      }
    ], 
    "edited_by": 873, 
    "title": "Variational dynamics as a ground-state problem on a quantum computer", 
    "conceptrecid": "1528", 
    "license_addendum": null, 
    "doi": "10.24435/materialscloud:xf-wj", 
    "mcid": "2022.142", 
    "_files": [
      {
        "size": 1874139, 
        "key": "Variational-Feynman-Kitaev.zip", 
        "checksum": "md5:b052a904659e23565d01cc2742906f66", 
        "description": "The archive contains the scripts to reproduce the method presented in the manuscript both in Julia and Python."
      }
    ], 
    "id": "1529", 
    "keywords": [
      "Quantum simulation", 
      "Quantum computing", 
      "Real time evolution", 
      "MARVEL"
    ], 
    "is_last": true, 
    "status": "published", 
    "references": [
      {
        "doi": "10.1103/PhysRevResearch.4.043161", 
        "url": "https://link.aps.org/doi/10.1103/PhysRevResearch.4.043161", 
        "comment": "Paper in which the method is presented.", 
        "type": "Journal reference", 
        "citation": "S. Barison, F. Vicentini, I. Cirac, G. Carleo, Phys. Rev. Research 4, 043161 (2022)"
      }, 
      {
        "doi": "10.48550/ARXIV.2204.03454", 
        "url": "https://arxiv.org/abs/2204.03454", 
        "comment": "Preprint in which the method is presented, the files uploaded can be used to reproduce the results", 
        "type": "Preprint", 
        "citation": "S. Barison, F. Vicentini, I. Cirac, G. Carleo, arXiv:2204.03454 [quant-ph]"
      }
    ], 
    "version": 1, 
    "owner": 873
  }, 
  "id": "1529", 
  "created": "2022-11-08T10:46:43.193121+00:00", 
  "updated": "2023-01-16T07:35:29.220021+00:00"
}