Quantum simulation of Anderson and Kondo lattices with superconducting qubits

TL;DR

This paper proposes a method to simulate complex quantum impurity models, like Anderson and Kondo lattices, using superconducting circuits, enabling exploration of strongly correlated electron systems with quantum hardware.

Contribution

It introduces a mapping between superconducting circuits and impurity Hamiltonians, expanding quantum simulation capabilities for condensed matter models.

Findings

Mapping enables simulation of Anderson and Kondo models

Comparison of circuit requirements for simulation vs. universal computation

Identification of specific challenges in quantum simulation with superconducting qubits

Abstract

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.