Improved Thermal Area Law and Quasilinear Time Algorithm for Quantum Gibbs States

Theory of Trotter Error with Commutator Scaling

(2021) Andrew M. Childs et al.   Physical Review X

Clustering of Conditional Mutual Information for Quantum Gibbs States above a Threshold Temperature

(2020) Tomotaka Kuwahara et al.   PHYSICAL REVIEW LETTERS

Eigenstate Thermalization from the Clustering Property of Correlation

(2020) Tomotaka Kuwahara et al.   PHYSICAL REVIEW LETTERS

Gaussian concentration bound and Ensemble equivalence in generic quantum many-body systems including long-range interactions

(2020) Tomotaka Kuwahara et al.   ANNALS OF PHYSICS

Practical quantum computation of chemical and nuclear energy levels using quantum imaginary time evolution and Lanczos algorithms

(2020) Kübra Yeter-Aydeniz et al.   npj Quantum Information

Area law of noncritical ground states in 1D long-range interacting systems

(2020) Tomotaka Kuwahara et al.   Nature Communications

Learning a Local Hamiltonian from Local Measurements

(2019) Eyal Bairey et al.   PHYSICAL REVIEW LETTERS

Quantum Approximate Markov Chains are Thermal

(2019) Kohtaro Kato et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

Variational ansatz-based quantum simulation of imaginary time evolution

(2019) Sam McArdle et al.   npj Quantum Information

Quantum supremacy using a programmable superconducting processor

(2019) Frank Arute et al.   NATURE

Cooling with imaginary time

(2019) Peter J. Love   Nature Physics

Determining eigenstates and thermal states on a quantum computer using quantum imaginary time evolution

(2019) Mario Motta et al.   Nature Physics

Machine-Learning Quantum States in the NISQ Era

(2019) Giacomo Torlai et al.   Annual Review of Condensed Matter Physics

Finite Correlation Length Implies Efficient Preparation of Quantum Thermal States

(2018) Fernando G. S. L. Brandão et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

Quantum Boltzmann Machine

(2018) Mohammad H. Amin et al.   Physical Review X

Observation of topological phenomena in a programmable lattice of 1,800 qubits

(2018) Andrew D. King et al.   NATURE

Quantum Chemistry Calculations on a Trapped-Ion Quantum Simulator

(2018) Cornelius Hempel et al.   Physical Review X

Exponential Thermal Tensor Network Approach for Quantum Lattice Models

(2018) Bin-Bin Chen et al.   Physical Review X

Simulation of Nonequilibrium Dynamics on a Quantum Computer

(2018) Henry Lamm et al.   PHYSICAL REVIEW LETTERS

Observation of a many-body dynamical phase transition with a 53-qubit quantum simulator

(2017) J. Zhang et al.   NATURE

Probing many-body dynamics on a 51-atom quantum simulator

(2017) Hannes Bernien et al.   NATURE

Quantum machine learning

(2017) Jacob Biamonte et al.   NATURE

Polynomial-Time Classical Simulation of Quantum Ferromagnets

(2017) Sergey Bravyi et al.   PHYSICAL REVIEW LETTERS

Floquet–Magnus theory and generic transient dynamics in periodically driven many-body quantum systems

(2016) Tomotaka Kuwahara et al.   ANNALS OF PHYSICS

Quantum Gibbs Samplers: The Commuting Case

(2016) Michael J. Kastoryano et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

Entanglement Rates and the Stability of the Area Law for the Entanglement Entropy

(2016) Michaël Mariën et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

Fundamental limitations in the purifications of tensor networks

(2016) G. De las Cuevas et al.   JOURNAL OF MATHEMATICAL PHYSICS

Rapid Adiabatic Preparation of Injective Projected Entangled Pair States and Gibbs States

(2016) Yimin Ge et al.   PHYSICAL REVIEW LETTERS

Some properties of correlations of quantum lattice systems in thermal equilibrium

(2015) Jürg Fröhlich et al.   JOURNAL OF MATHEMATICAL PHYSICS

Mutual information area laws for thermal free fermions

(2015) H Bernigau et al.   JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT

A polynomial time algorithm for the ground state of one-dimensional gapped local Hamiltonians

(2015) Zeph Landau et al.   Nature Physics

Monogamy, polygamy, and other properties of entanglement of purification

(2015) Shrobona Bagchi et al.   PHYSICAL REVIEW A

Minimally entangled typical thermal states versus matrix product purifications for the simulation of equilibrium states and time evolution

(2015) Moritz Binder et al.   PHYSICAL REVIEW B

Variational approach to projected entangled pair states at finite temperature

(2015) Piotr Czarnik et al.   PHYSICAL REVIEW B

Approximating Gibbs states of local Hamiltonians efficiently with projected entangled pair states

(2015) Andras Molnar et al.   PHYSICAL REVIEW B

A complexity classification of spin systems with an external field: Fig. 1.

(2015) Leslie Ann Goldberg et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Locality of Temperature

(2014) M. Kliesch et al.   Physical Review X

An area law for entanglement from exponential decay of correlations

(2013) Fernando G. S. L. Brandão et al.   Nature Physics

Purifications of multipartite states: limitations and constructive methods

(2013) Gemma De las Cuevas et al.   NEW JOURNAL OF PHYSICS

Entanglement Rates and Area Laws

(2013) Karel Van Acoleyen et al.   PHYSICAL REVIEW LETTERS

A short introduction to numerical linked-cluster expansions

(2012) Baoming Tang et al.   COMPUTER PHYSICS COMMUNICATIONS

Improved one-dimensional area law for frustration-free systems

(2012) Itai Arad et al.   PHYSICAL REVIEW B

A quantum-quantum Metropolis algorithm

(2012) M.-H. Yung et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Hamiltonian complexity

(2012) Tobias J Osborne   REPORTS ON PROGRESS IN PHYSICS

Quantum Metropolis sampling

(2011) K. Temme et al.   NATURE

The detectability lemma and its applications to quantum Hamiltonian complexity

(2011) Dorit Aharonov et al.   NEW JOURNAL OF PHYSICS

Time-Dependent Variational Principle for Quantum Lattices

(2011) Jutho Haegeman et al.   PHYSICAL REVIEW LETTERS

Linearized Tensor Renormalization Group Algorithm for the Calculation of Thermodynamic Properties of Quantum Lattice Models

(2011) Wei Li et al.   PHYSICAL REVIEW LETTERS

The density-matrix renormalization group in the age of matrix product states

(2010) Ulrich Schollwöck   ANNALS OF PHYSICS

Minimally entangled typical thermal state algorithms

(2010) E M Stoudenmire et al.   NEW JOURNAL OF PHYSICS

Entanglement versus gap for one-dimensional spin systems

(2010) Daniel Gottesman et al.   NEW JOURNAL OF PHYSICS

Coarse-grained belief propagation for simulation of interacting quantum systems at all temperatures

(2010) Ersen Bilgin et al.   PHYSICAL REVIEW B

Preparing Thermal States of Quantum Systems by Dimension Reduction

(2010) Ersen Bilgin et al.   PHYSICAL REVIEW LETTERS

Colloquium: Area laws for the entanglement entropy

(2010) J. Eisert et al.   REVIEWS OF MODERN PHYSICS

Sampling from the Thermal Quantum Gibbs State and Evaluating Partition Functions with a Quantum Computer

(2009) David Poulin et al.   PHYSICAL REVIEW LETTERS

Minimally Entangled Typical Quantum States at Finite Temperature

(2009) Steven R. White   PHYSICAL REVIEW LETTERS

Belief propagation algorithm for computing correlation functions in finite-temperature quantum many-body systems on loopy graphs

(2008) David Poulin et al.   PHYSICAL REVIEW A

Complexity of thermal states in quantum spin chains

(2008) Marko Žnidarič et al.   PHYSICAL REVIEW A

Observations outside the light cone: Algorithms for nonequilibrium and thermal states

(2008) M. B. Hastings   PHYSICAL REVIEW B

Infinite time-evolving block decimation algorithm beyond unitary evolution

(2008) R. Orús et al.   PHYSICAL REVIEW B

Area Laws in Quantum Systems: Mutual Information and Correlations

(2008) Michael M. Wolf et al.   PHYSICAL REVIEW LETTERS