https://doi.org/10.1140/epjqt/s40507-016-0049-1
Research
Few-qubit quantum-classical simulation of strongly correlated lattice fermions
1
Clarendon Laboratory, Department of Physics, University of Oxford, Parks Road, Oxford, OX1 3PU, UK
2
Department of Physical Chemistry, University of the Basque Country, Apartado 644, Bilbao, 48080, Spain
3
Department of Physics, University of Bath, Claverton Down, Bath, BA2 7AY, UK
4
Max Planck Institute for the Structure and Dynamics of Matter, Hamburg, Germany
5
IKERBASQUE, Basque Foundation for Science, Maria Diaz de Haro 3, Bilbao, 48013, Spain
6
Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, Singapore, 117543, Singapore
* e-mail: j.kreula1@physics.ox.ac.uk
Received:
15
June
2016
Accepted:
23
July
2016
Published online:
8
August
2016
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.
Key words: quantum simulation / dynamical mean-field theory / superconducting circuits
© Kreula et al., 2016