Quantum simulation of Anderson and Kondo lattices 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.

Longer version

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Cited by in corpus (26)

• Quantum Simulation
• Superconducting Qubits: Current State of Play
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• Digital Quantum Simulation of Spin Systems in Superconducting Circuits
• Digital-Analog Quantum Simulations with Superconducting Circuits
• Inelastic Microwave Photon Scattering off a Quantum Impurity in a Josephson-Junction Array
• Recent progress in quantum simulation using superconducting circuits
• Entanglement Routers Using Macroscopic Singlets
• Efficient Quantum Algorithm for Computing n-time Correlation Functions
• Measurement of Bell-type inequalities and quantum entanglement from $\Lambda$-hyperon spin correlations at high energy colliders
• Analog Superconducting Quantum Simulator for Holstein Polarons
• Observation of quantum many-body effects due to zero point fluctuations in superconducting circuits
• Circuit QED and sudden phase switching in a superconducting qubit array
• Witnessing topological Weyl semimetal phase in a minimal circuit-QED lattice
• Emulating the one-dimensional Fermi-Hubbard model by a double chain of qubits
• Josephson-Kondo screening cloud in circuit quantum electrodynamics
• Inelastic scattering of a photon by a quantum phase-slip
• Fermionic Models with Superconducting Circuits
• Critical fluorescence of a transmon at the Schmid transition
• Quantum phase transition in a multi-connected superconducting Jaynes-Cummings lattice
• Topology-dependent quantum dynamics and entanglement-dependent topological pumping in superconducting qubit chains
• Photon-instanton collider implemented by a superconducting circuit
• Entanglement based observables for quantum impurities
• A superconducting circuit probe for analog quantum simulators
• Mott insulator-superfluid phase transition in a detuned multi-connected Jaynes-Cummings lattice
• Refrigeration of a 1D gas of microwave photons