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Journal Article

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


Clark,  Stephen R.
Department of Physics, University of Bath, Claverton Down, Bath BA2 7AY UK;
Quantum Condensed Matter Dynamics, Condensed Matter Dynamics Department, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society;

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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.

Cite as: http://hdl.handle.net/11858/00-001M-0000-002A-F01F-9
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.