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  Few-qubit quantum-classical simulation of strongly correlated lattice fermions

Kreula, J. M., García-Álvarez, L., Lamata, L., Clark, S. R., Solano, E., & Jaksch, D. (2016). Few-qubit quantum-classical simulation of strongly correlated lattice fermions. EPJ Quantum Technology, 3: 11. doi:10.1140/epjqt/s40507-016-0049-1.

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1606.04839.pdf (Preprint), 3MB
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 Creators:
Kreula, Juha M.1, Author
García-Álvarez, Laura2, Author
Lamata, Lucas2, Author
Clark, Stephen R.3, 4, Author           
Solano, Enrique2, 5, Author
Jaksch, Dieter1, 6, Author
Affiliations:
1Clarendon Laboratory, Department of Physics, University of Oxford, Parks Road, Oxford OX1 3PU, UK, ou_persistent22              
2Department of Physical Chemistry, University of the Basque Country, Apartado 644, 48080 Bilbao, Spain, ou_persistent22              
3Department of Physics, University of Bath, Claverton Down, Bath BA2 7AY UK, ou_persistent22              
4Quantum Condensed Matter Dynamics, Condensed Matter Dynamics Department, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society, ou_1938293              
5IKERBASQUE, Basque Foundation for Science, Maria Diaz de Haro 3, 48013 Bilbao, Spain, ou_persistent22              
6Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, 117543 Singapore, ou_persistent22              

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Free keywords: Quantum Physics; Condensed Matter; Mesoscale and Nanoscale Physics; Superconductivity; Quantum simulation; Dynamical mean-field theory; Superconducting circuits
 Abstract: We study a proof-of-principle example of the recently proposed hybrid quantum-classical simulation of strongly correlated fermion models in the thermodynamic limit. In a ‘two-site’ dynamical mean-field theory (DMFT) approach we reduce the Hubbard model to an effective impurity model subject to self-consistency conditions. The resulting minimal two-site representation of the non-linear hybrid setup involves four qubits implementing the impurity problem, plus an ancilla qubit on which all measurements are performed. We outline a possible implementation with superconducting circuits feasible with near-future technology.

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Language(s): eng - English
 Dates: 2016-06-152016-06-152016-07-232016-08-08
 Publication Status: Published online
 Pages: 19
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 1606.04839
DOI: 10.1140/epjqt/s40507-016-0049-1
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Title: EPJ Quantum Technology
  Abbreviation : EPJ Quantum Technol.
Source Genre: Journal
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Publ. Info: Berlin Heidelberg : Springer
Pages: - Volume / Issue: 3 Sequence Number: 11 Start / End Page: - Identifier: ISSN: 2196-0763
CoNE: https://pure.mpg.de/cone/journals/resource/2196-0763