Tensor networks for complex quantum systems
R Orús - Nature Reviews Physics, 2019 - nature.com
Originally developed in the context of condensed-matter physics and based on
renormalization group ideas, tensor networks have been revived thanks to quantum …
renormalization group ideas, tensor networks have been revived thanks to quantum …
Variational ansatz-based quantum simulation of imaginary time evolution
Imaginary time evolution is a powerful tool for studying quantum systems. While it is possible
to simulate with a classical computer, the time and memory requirements generally scale …
to simulate with a classical computer, the time and memory requirements generally scale …
Hybrid quantum-classical approach to correlated materials
Recent improvements in the control of quantum systems make it seem feasible to finally
build a quantum computer within a decade. While it has been shown that such a quantum …
build a quantum computer within a decade. While it has been shown that such a quantum …
Dynamical screening in correlated electron systems—from lattice models to realistic materials
Recent progress in treating the dynamical nature of the screened Coulomb interaction in
strongly correlated lattice models and materials is reviewed with a focus on computational …
strongly correlated lattice models and materials is reviewed with a focus on computational …
Equilibrium quantum impurity problems via matrix product state encoding of the retarded action
In the 0+ 1-dimensional imaginary-time path integral formulation of quantum impurity
problems, the retarded action encodes the hybridization of the impurity with the bath. In this …
problems, the retarded action encodes the hybridization of the impurity with the bath. In this …
w2dynamics: Local one-and two-particle quantities from dynamical mean field theory
We describe the hybridization-expansion continuous-time quantum Monte Carlo code
package “w2dynamics”, developed in Wien and Würzburg. We discuss the main features of …
package “w2dynamics”, developed in Wien and Würzburg. We discuss the main features of …
Grassmann time-evolving matrix product operators for quantum impurity models
R Chen, X Xu, C Guo - Physical Review B, 2024 - APS
The time-evolving matrix product operators (TEMPO) method, which makes full use of the
Feynman-Vernon influence functional, is the state-of-the-art tensor network method for …
Feynman-Vernon influence functional, is the state-of-the-art tensor network method for …
Fork tensor-product states: efficient multiorbital real-time DMFT solver
We present a tensor network especially suited for multi-orbital Anderson impurity models
and as an impurity solver for multi-orbital dynamical mean-field theory (DMFT). The solver …
and as an impurity solver for multi-orbital dynamical mean-field theory (DMFT). The solver …
Efficient low-temperature simulations for fermionic reservoirs with the hierarchical equations of motion method: Application to the Anderson impurity model
The hierarchical equations of motion (HEOM) approach is an accurate method to simulate
open system quantum dynamics, which allows for systematic convergence to numerically …
open system quantum dynamics, which allows for systematic convergence to numerically …
Variational quantum simulation: a case study for understanding warm starts
The barren plateau phenomenon, characterized by loss gradients that vanish exponentially
with system size, poses a challenge to scaling variational quantum algorithms. Here we …
with system size, poses a challenge to scaling variational quantum algorithms. Here we …