Quantum simulation of Anderson and Kondo lattices with superconducting qubits

Details Quantum simulation of Anderson and Kondo lattices with superconducting qubits Quantum simulation of Anderson and Kondo lattices with superconducting qubits

2007-09-11

arxiv.org/abs/0709.1573v2

Phys. Rev. B 77, 024522 (2008)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Longer version

Scientific paper

10.1103/PhysRevB.77.024522

We introduce a mapping between a variety of superconducting circuits and a family of Hamiltonians describing localized magnetic impurities interacting with conduction bands. This includes the Anderson model, the single impurity one- and two-channel Kondo problem, as well as the 1D Kondo lattice. We compare the requirements for performing quantum simulations using the proposed circuits to those of universal quantum computation with superconducting qubits, singling out the specific challenges that will have to be addressed.

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