Matrix product states and projected entangled pair states: Concepts, symmetries, theorems
The theory of entanglement provides a fundamentally new language for describing
interactions and correlations in many-body systems. Its vocabulary consists of qubits and …
interactions and correlations in many-body systems. Its vocabulary consists of qubits and …
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 …
Determining eigenstates and thermal states on a quantum computer using quantum imaginary time evolution
The accurate computation of Hamiltonian ground, excited and thermal states on quantum
computers stands to impact many problems in the physical and computer sciences, from …
computers stands to impact many problems in the physical and computer sciences, from …
Computational advantage of quantum random sampling
Quantum random sampling is the leading proposal for demonstrating a computational
advantage of quantum computers over classical computers. Recently the first large-scale …
advantage of quantum computers over classical computers. Recently the first large-scale …
Simulation methods for open quantum many-body systems
Coupling a quantum many-body system to an external environment dramatically changes its
dynamics and offers novel possibilities not found in closed systems. Of special interest are …
dynamics and offers novel possibilities not found in closed systems. Of special interest are …
Lattice quantum electrodynamics in (3+ 1)-dimensions at finite density with tensor networks
Gauge theories are of paramount importance in our understanding of fundamental
constituents of matter and their interactions. However, the complete characterization of their …
constituents of matter and their interactions. However, the complete characterization of their …
Neural tensor contractions and the expressive power of deep neural quantum states
We establish a direct connection between general tensor networks and deep feed-forward
artificial neural networks. The core of our results is the construction of neural-network layers …
artificial neural networks. The core of our results is the construction of neural-network layers …
Time-dependent variational principle for open quantum systems with artificial neural networks
We develop a variational approach to simulating the dynamics of open quantum many-body
systems using deep autoregressive neural networks. The parameters of a compressed …
systems using deep autoregressive neural networks. The parameters of a compressed …
Efficient Tensor Network Ansatz for High-Dimensional Quantum Many-Body Problems
We introduce a novel tensor network structure augmenting the well-established tree tensor
network representation of a quantum many-body wave function. The new structure satisfies …
network representation of a quantum many-body wave function. The new structure satisfies …
Quantum many-body systems in thermal equilibrium
ÁM Alhambra - PRX Quantum, 2023 - APS
The thermal or equilibrium ensemble is one of the most ubiquitous states of matter. For
models comprised of many locally interacting quantum particles, it describes a wide range of …
models comprised of many locally interacting quantum particles, it describes a wide range of …