Design and benchmarks for emulating Kondo dynamics on a quantum chip
arXiv:2501.08499 · doi:10.1103/c864-5bbt
Abstract
Motivated by recent advances in digital quantum simulation and the overall prospective of solving correlated many-electron problems using quantum algorithms, we design a gate-based quantum circuit that emulates the dynamics of the Kondo impurity model. We numerically determine the impurity magnetization, entanglement between impurity and fermionic sites and energy as a function of time (i.e.~circuit depth) for various initial states and find universal long-time dynamics. We complement the numerical simulations for moderate system size with an asymptotically exact analytical solution that is effective in the limit of large system sizes and for starting states corresponding to a filled Fermi sea. This work opens up the perspective of studying the dynamics of electronic quantum many-body states on quantum chips of the NISQ era.
17+12 pages, 8 + 8 figures
References in corpus (43)
- Quantum Computing in the NISQ era and beyond
- Entanglement Entropy and Quantum Field Theory
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- Quantum computational chemistry
- Adiabatic Quantum Computing
- Universal High-Frequency Behavior of Periodically Driven Systems: from Dynamical Stabilization to Floquet Engineering
- Eigenstate Thermalization Hypothesis
- Quantum Noise as an Entanglement Meter
- Boundary effects in the critical scaling of entanglement entropy in 1D systems
- Kondo effect in quantum dots
- Quantum quench dynamics
- Topological Kondo effect with Majorana fermions
- Integrable Trotterization: Local Conservation Laws and Boundary Driving
- Tunable Quantum Criticality and Super-ballistic Transport in a `Charge' Kondo Circuit
- Observation of a symmetry-protected topological time crystal with superconducting qubits
- Ballistic spin transport in a periodically driven integrable quantum system
- Entanglement and boundary critical phenomena
- Floquet States in Open Quantum Systems
- Universal spin dynamics in infinite-temperature one-dimensional quantum magnets
- Noise-resilient Edge Modes on a Chain of Superconducting Qubits
- Dynamics of magnetization at infinite temperature in a Heisenberg spin chain
- Integrable Floquet dynamics
- Formation of robust bound states of interacting microwave photons
- Simulating Quantum Materials with Digital Quantum Computers
- Complexity of quantum impurity problems
- Violation of the fluctuation-dissipation theorem in time-dependent mesoscopic heat transport
- Crossover physics in the non-equilibrium dynamics of quenched quantum impurity systems
- Crossover from Non-Equilibrium to Equilibrium Behavior in the Time-Dependent Kondo Model
- Quantum Renormalization Groups Based on Natural Orbitals
- Gutzwiller Hybrid Quantum-Classical Computing Approach for Correlated Materials
- Kondo Effect in Spin Chains
- Fast preparation of critical ground states using superluminal fronts
- Unveiling the internal entanglement structure of the Kondo singlet
- Non-equilibrium steady state in a periodically driven Kondo model
- SO(5) non-Fermi liquid in a Coulomb box device
- Strong zero modes in integrable quantum circuits
- Unraveling correlated material properties with noisy quantum computers: Natural orbitalized variational quantum eigensolving of extended impurity models within a slave-boson approach
- Interaction quench dynamics in the Kondo model in presence of a local magnetic field
- Disentangling Interacting Systems with Fermionic Gaussian Circuits: Application to Quantum Impurity Models
- Topological symplectic Kondo effect
- Entanglement Entropy Near Kondo-Destruction Quantum Critical Points
- Impurity Entanglement in the Quantum Spin Chain
- Topological Kondo effect with spinful Majorana fermions