Fetching the paper…
Reading the bibliography…
Classical machine learning (ML) provides a potentially powerful approach to solving challenging quantum many-body problems in physics and chemistry.
Liii. on lines and planes of closest fit to systems of points in space
K. Pearson · 1901
Earlier work this paper cites.
Functions of positive and negative type, and their connection the theory of integral equations
J. Mercer · 1909
Earlier work this paper cites.
A comparison of signalling alphabets
E. N. Gilbert · 1952
Earlier work this paper cites.
Inhomogeneous electron gas
P. Hohenberg and W. Kohn · 1964
Earlier work this paper cites.
The finite group velocity of quantum spin systems
E. H. Lieb and D. W. Robinson · 1972
Earlier work this paper cites.
Some estimates of the information transmitted by quantum communication channels
A. S. Holevo · 1973
Earlier work this paper cites.
A method for obtaining digital signatures and public-key cryptosystems
R. L. Rivest, A. Shamir, and L. Adleman · 1978
Earlier work this paper cites.
Solitons in polyacetylene
W. Su, J. Schrieffer, and A. J. Heeger · 1979
Earlier work this paper cites.
Planar formulae and their uses
D. Lichtenstein · 1982
Earlier work this paper cites.
Continuum dynamics of the 1-D Heisenberg antiferromagnet: Identification with the O(3) nonlinear sigma model
F. Haldane · 1983
Earlier work this paper cites.
A proof of part of Haldane’s conjecture on spin chains
I. Affleck and E. H. Lieb · 1986
Earlier work this paper cites.
Quantum Monte Carlo
D. Ceperley and B. Alder · 1986
Earlier work this paper cites.
NP is as easy as detecting unique solutions
L. Valiant and V. Vazirani · 1986
Earlier work this paper cites.
Valence bond ground states in isotropic quantum antiferromagnets
I. Affleck, T. Kennedy, E. H. Lieb, and H. Tasaki · 1988
Earlier work this paper cites.
The problem of compatible representatives
D. E. Knuth and A. Raghunathan · 1992
Earlier work this paper cites.
The design and analysis of algorithms
D. C. Kozen · 1992
Earlier work this paper cites.
Density matrix formulation for quantum renormalization groups
S. R. White · 1992
Earlier work this paper cites.
Density-matrix algorithms for quantum renormalization groups
S. R. White · 1993
Earlier work this paper cites.
Support-vector networks
C. Cortes and V. Vapnik · 1995
Earlier work this paper cites.
Matrix formalism for the VBS-type models and hidden order
K. Totsuka and M. Suzuki · 1995
Earlier work this paper cites.
Assouad, fano, and le cam
B. Yu · 1997
Earlier work this paper cites.
Nonlinear component analysis as a kernel eigenvalue problem
B. Schölkopf, A. Smola, and K.-R. Müller · 1998
Earlier work this paper cites.
Making Large-Scale Support Vector Machine Learning Practical
T. Joachims · 1999
Earlier work this paper cites.
Nobel lecture: Electronic structure of matter—wave functions and density functionals
W. Kohn · 1999
Earlier work this paper cites.
Stochastic series expansion method with operator-loop update
A. W. Sandvik · 1999
Earlier work this paper cites.
A generalized representer theorem
B. Schölkopf, R. Herbrich, and A. J. Smola · 2001
Earlier work this paper cites.
Order Parameter to Characterize Valence-Bond-Solid States in Quantum Spin Chains
M. Nakamura and S. Todo · 2002
Earlier work this paper cites.
The loop algorithm
H. G. Evertz · 2003
Earlier work this paper cites.
Fault-tolerant quantum computation by anyons
A. Y. Kitaev · 2003
Earlier work this paper cites.
Improved simulation of stabilizer circuits
S. Aaronson and D. Gottesman · 2004
Earlier work this paper cites.
Convex optimization
S. Boyd, S. P. Boyd, and L. Vandenberghe · 2004
Earlier work this paper cites.
Competing density-wave orders in a one-dimensional hard-boson model
P. Fendley, K. Sengupta, and S. Sachdev · 2004
Earlier work this paper cites.
Quasiadiabatic continuation of quantum states: The stability of topological ground-state degeneracy and emergent gauge invariance
M. B. Hastings and X.-G. Wen · 2005
Earlier work this paper cites.
Computational complexity and fundamental limitations to fermionic quantum monte carlo simulations
M. Troyer and U.-J. Wiese · 2005
Earlier work this paper cites.
The Complexity of Stoquastic Local Hamiltonian Problems
S. Bravyi, D. P. DiVincenzo, R. I. Oliveira, and B. M. Terhal · 2006
Earlier work this paper cites.
Lieb-robinson bounds and the generation of correlations and topological quantum order
S. Bravyi, M. B. Hastings, and F. Verstraete · 2006
Earlier work this paper cites.
Spectral gap and exponential decay of correlations
M. B. Hastings and T. Koma · 2006
Earlier work this paper cites.
Anyons in an exactly solved model and beyond
A. Y. Kitaev · 2006
Earlier work this paper cites.
Topological entanglement entropy
A. Y. Kitaev and J. Preskill · 2006
Earlier work this paper cites.
Detecting topological order in a ground state wave function
M. Levin and X.-G. Wen · 2006
Earlier work this paper cites.
Simulating adiabatic evolution of gapped spin systems
T. J. Osborne · 2007
Earlier work this paper cites.
Matrix product state representations
D. Perez-Garcia, F. Verstraete, M. M. Wolf, and J. I. Cirac · 2007
Earlier work this paper cites.
Adiabatic quantum computation is equivalent to standard quantum computation
D. Aharonov, W. Van Dam, J. Kempe, Z. Landau, S. Lloyd, and O. Regev · 2008
Earlier work this paper cites.
Classical simulation of infinite-size quantum lattice systems in two spatial dimensions
J. Jordan, R. Orús, G. Vidal, F. Verstraete, and J. I. Cirac · 2008
Earlier work this paper cites.
Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
H. Li and F. D. M. Haldane · 2008
Earlier work this paper cites.
Matrix product states, projected entangled pair states, and variational renormalization group methods for quantum spin systems
F. Verstraete, V. Murg, and J. Cirac · 2008
Earlier work this paper cites.
Tensor-entanglement-filtering renormalization approach and symmetry-protected topological order
Z.-C. Gu and X.-G. Wen · 2009
Earlier work this paper cites.
Computational complexity of interacting electrons and fundamental limitations of density functional theory
N. Schuch and F. Verstraete · 2009
Earlier work this paper cites.
Entanglement spectrum of a topological phase in one dimension
F. Pollmann, A. M. Turner, E. Berg, and M. Oshikawa · 2010
Earlier work this paper cites.
LIBSVM: A library for support vector machines
C.-C. Chang and C.-J. Lin · 2011
Earlier work this paper cites.
Classification of gapped symmetric phases in one-dimensional spin systems
X. Chen, Z.-C. Gu, and X.-G. Wen · 2011
Earlier work this paper cites.
Beating sgd: Learning svms in sublinear time
E. Hazan, T. Koren, and N. Srebro · 2011
Earlier work this paper cites.
Scikit-learn: Machine learning in Python
F. Pedregosa, G. Varoquaux, A. Gramfort, V. Michel, B. Thirion, O. Grisel, M. Blondel, P. Prettenhofer, R. Weiss, V. Dubourg, J. Vanderplas, A. Passos, D. Cournapeau, M. Brucher, M. Perrot, and E. Duchesnay · 2011
Earlier work this paper cites.
The density-matrix renormalization group in the age of matrix product states
U. Schollwoeck · 2011
Earlier work this paper cites.
Automorphic equivalence within gapped phases of quantum lattice systems
S. Bachmann, S. Michalakis, B. Nachtergaele, and R. Sims · 2012
Earlier work this paper cites.
Perfect sampling with unitary tensor networks
A. J. Ferris and G. Vidal · 2012
Earlier work this paper cites.
Quantum tomography via compressed sensing: error bounds, sample complexity and efficient estimators
S. T. Flammia, D. Gross, Y.-K. Liu, and J. Eisert · 2012
Earlier work this paper cites.
Order Parameter for Symmetry-Protected Phases in One Dimension
J. Haegeman, D. Pérez-García, I. Cirac, and N. Schuch · 2012
Earlier work this paper cites.
Unsupervised svms: On the complexity of the furthest hyperplane problem
Z. Karnin, E. Liberty, S. Lovett, R. Schwartz, and O. Weinstein · 2012
Earlier work this paper cites.
Machine learning: a probabilistic perspective
K. P. Murphy · 2012
Earlier work this paper cites.
Detection of symmetry-protected topological phases in one dimension
F. Pollmann and A. M. Turner · 2012
Earlier work this paper cites.
Topological phases and quasiparticle braiding
N. Read · 2012
Earlier work this paper cites.
Studying two-dimensional systems with the density matrix renormalization group
E. Stoudenmire and S. R. White · 2012
Earlier work this paper cites.
User-friendly tail bounds for sums of random matrices
J. A. Tropp · 2012
Earlier work this paper cites.
Summability of multi-dimensional trigonometric fourier series
F. Weisz · 2012
Earlier work this paper cites.
Topological Insulators and Topological Superconductors
B. A. Bernevig and T. L. Hughes · 2013
Earlier work this paper cites.
API design for machine learning software: experiences from the scikit-learn project
L. Buitinck, G. Louppe, M. Blondel, F. Pedregosa, A. Mueller, O. Grisel, V. Niculae, P. Prettenhofer, A. Gramfort, J. Grobler, R. Layton, J. VanderPlas, A. Joly, B. Holt, and G. Varoquaux · 2013
Earlier work this paper cites.
Symmetry protected topological orders and the group cohomology of their symmetry group
X. Chen, Z.-C. Gu, Z.-X. Liu, and X.-G. Wen · 2013
Cited alongside, same era.
Bridging lattice-scale physics and continuum field theory with quantum monte carlo simulations
R. K. Kaul, R. G. Melko, and A. W. Sandvik · 2013
Cited alongside, same era.
Probability in Banach Spaces: isoperimetry and processes
M. Ledoux and M. Talagrand · 2013
Cited alongside, same era.
Efficient and feasible state tomography of quantum many-body systems
M. Ohliger, V. Nesme, and J. Eisert · 2013
Cited alongside, same era.
Quantum Information Theory
M. M. Wilde · 2013
Cited alongside, same era.
On Gapped Phases with a Continuous Symmetry and Boundary Operators
S. Bachmann and B. Nachtergaele · 2014
Cited alongside, same era.
Neural gutzwiller-projected variational wave functions
F. Ferrari, F. Becca, and J. Carrasquilla · 2019
Later among the works it cites.
Conversion of projected entangled pair states into a canonical form
R. Haghshenas, M. J. O’Rourke, and G. K.-L. Chan · 2019
Later among the works it cites.
DMRG Approach to Optimizing Two-Dimensional Tensor Networks
K. Hyatt and E. M. Stoudenmire · 2019
Later among the works it cites.
Vulnerability of machine learning phases of matter
S. Jiang, S. Lu, and D.-L. Deng · 2019
Later among the works it cites.
Enhanced convolutional neural tangent kernels
Z. Li, R. Wang, D. Yu, S. S. Du, W. Hu, R. Salakhutdinov, and S. Arora · 2019
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Molecular electronic-structure theory
T. Helgaker, P. Jorgensen, and J. Olsen · 2014
Cited alongside, same era.
Adam: A method for stochastic optimization
D. P. Kingma and J. Ba · 2014
Cited alongside, same era.
A practical introduction to tensor networks: Matrix product states and projected entangled pair states
R. Orús · 2014
Cited alongside, same era.
A variational eigenvalue solver on a photonic quantum processor
A. Peruzzo, J. McClean, P. Shadbolt, M.-H. Yung, X.-Q. Zhou, P. J. Love, A. Aspuru-Guzik, and J. L. O’brien · 2014
Cited alongside, same era.
Quantization of Hall Conductance for Interacting Electrons on a Torus
M. B. Hastings and S. Michalakis · 2015
Cited alongside, same era.
A polynomial time algorithm for the ground state of one-dimensional gapped local hamiltonians
Z. Landau, U. Vazirani, and T. Vidick · 2015
Cited alongside, same era.
Quantum topology identification with deep neural networks and quantum walks
Y. Ming, C.-T. Lin, S. D. Bartlett, and W.-W. Zhang · 2019
Later among the works it cites.
An approximate description of quantum states
M. Paini and A. Kalev · 2019
Later among the works it cites.
Identifying quantum phase transitions using artificial neural networks on experimental data
B. S. Rem, N. Käming, M. Tarnowski, L. Asteria, N. Fläschner, C. Becker, K. Sengstock, and C. Weitenberg · 2019
Later among the works it cites.
Identifying topological order through unsupervised machine learning
J. F. Rodriguez-Nieva and M. S. Scheurer · 2019
Later among the works it cites.
From DFT to machine learning: recent approaches to materials science–a review
G. R. Schleder, A. C. M. Padilha, C. M. Acosta, M. Costa, and A. Fazzio · 2019
Later among the works it cites.
Unifying machine learning and quantum chemistry with a deep neural network for molecular wavefunctions
K. Schütt, M. Gastegger, A. Tkatchenko, K.-R. Müller, and R. J. Maurer · 2019
Later among the works it cites.
Integrating neural networks with a quantum simulator for state reconstruction
G. Torlai, B. Timar, E. P. L. van Nieuwenburg, H. Levine, A. Omran, A. Keesling, H. Bernien, M. Greiner, V. Vuletić, M. D. Lukin, R. G. Melko, and M. Endres · 2019
Later among the works it cites.
Quantum information meets quantum matter
B. Zeng, X. Chen, D.-L. Zhou, and X.-G. Wen · 2019
Later among the works it cites.
Sub-exponential algorithm for 2d frustration-free spin systems with gapped subsystems
N. Abrahamsen · 2020
Later among the works it cites.
Machine learning spectral indicators of topology
N. Andrejevic, J. Andrejevic, C. H. Rycroft, and M. Li · 2020
Later among the works it cites.
Explainable artificial intelligence (xai): Concepts, taxonomies, opportunities and challenges toward responsible ai
A. B. Arrieta, N. Díaz-Rodríguez, J. Del Ser, A. Bennetot, S. Tabik, A. Barbado, S. García, S. Gil-López, D. Molina, R. Benjamins, et al · 2020
Later among the works it cites.
A Many-Body Index for Quantum Charge Transport
S. Bachmann, A. Bols, W. De Roeck, and M. Fraas · 2020
Later among the works it cites.
Many-body physics with individually controlled Rydberg atoms
A. Browaeys and T. Lahaye · 2020
Later among the works it cites.
Machine learning for quantum matter
J. Carrasquilla · 2020
Later among the works it cites.
S. Chen, W. Yu, P. Zeng, and S. T. Flammia · 2020
Later among the works it cites.
Fermionic neural-network states for ab-initio electronic structure
K. Choo, A. Mezzacapo, and G. Carleo · 2020
Later among the works it cites.
Detection of topological materials with machine learning
N. Claussen, B. A. Bernevig, and N. Regnault · 2020
Later among the works it cites.
Quantum overlapping tomography
J. S. Cotler and F. Wilczek · 2020
Later among the works it cites.
Quantum Phases of Matter on a 256-Atom Programmable Quantum Simulator
S. Ebadi, T. T. Wang, H. Levine, A. Keesling, G. Semeghini, A. Omran, D. Bluvstein, R. Samajdar, H. Pichler, W. W. Ho, S. Choi, S. Sachdev, M. Greiner, V. Vuletic, and M. D. Lukin · 2020
Later among the works it cites.
Mixed-state entanglement from local randomized measurements
A. Elben, R. Kueng, H.-Y. Huang, R. van Bijnen, C. Kokail, M. Dalmonte, P. Calabrese, B. Kraus, J. Preskill, P. Zoller, and B. Vermersch · 2020
Later among the works it cites.
Many-body topological invariants from randomized measurements in synthetic quantum matter
A. Elben, J. Yu, G. Zhu, M. Hafezi, F. Pollmann, P. Zoller, and B. Vermersch · 2020
Later among the works it cites.
The ITensor Software Library for Tensor Network Calculations
M. Fishman, S. R. White, and E. Miles Stoudenmire · 2020
Later among the works it cites.
Unsupervised identification of topological phase transitions using predictive models
E. Greplova, A. Valenti, G. Boschung, F. Schäfer, N. Lörch, and S. D. Huber · 2020
Later among the works it cites.
Fast state tomography with optimal error bounds
M. Guţă, J. Kahn, R. Kueng, and J. A. Tropp · 2020
Later among the works it cites.
Measurements of quantum hamiltonians with locally-biased classical shadows
C. Hadfield, S. Bravyi, R. Raymond, and A. Mezzacapo · 2020
Later among the works it cites.
Recurrent neural network wave functions
M. Hibat-Allah, M. Ganahl, L. E. Hayward, R. G. Melko, and J. Carrasquilla · 2020
Later among the works it cites.
Predicting many properties of a quantum system from very few measurements
H.-Y. Huang, R. Kueng, and J. Preskill · 2020
Later among the works it cites.
Hall conductance and the statistics of flux insertions in gapped interacting lattice systems
A. Kapustin and N. Sopenko · 2020
Later among the works it cites.
Predicting excited states from ground state wavefunction by supervised quantum machine learning
H. Kawai and Y. O. Nakagawa · 2020
Later among the works it cites.
D. E. Koh and S. Grewal · 2020
Later among the works it cites.
Strictly linear light cones in long-range interacting systems of arbitrary dimensions
T. Kuwahara and K. Saito · 2020
Later among the works it cites.
The local density approximation in density functional theory
M. Lewin, E. H. Lieb, and R. Seiringer · 2020
Later among the works it cites.
U(1) symmetric recurrent neural networks for quantum state reconstruction
S. Morawetz, I. J. S. De Vlugt, J. Carrasquilla, and R. G. Melko · 2020
Later among the works it cites.
Deep learning the hohenberg-kohn maps of density functional theory
J. R. Moreno, G. Carleo, and A. Georges · 2020
Later among the works it cites.
Neural tangents: Fast and easy infinite neural networks in python
R. Novak, L. Xiao, J. Hron, J. Lee, A. A. Alemi, J. Sohl-Dickstein, and S. S. Schoenholz · 2020
Later among the works it cites.
Symmetry indicators of band topology
H. C. Po · 2020
Later among the works it cites.
Orbnet: Deep learning for quantum chemistry using symmetry-adapted atomic-orbital features
Z. Qiao, M. Welborn, A. Anandkumar, F. R. Manby, and T. F. Miller III · 2020
Later among the works it cites.
Unsupervised Machine Learning and Band Topology
M. S. Scheurer and R.-J. Slager · 2020
Later among the works it cites.
Programmable quantum simulation of 2D antiferromagnets with hundreds of Rydberg atoms
P. Scholl, M. Schuler, H. J. Williams, A. A. Eberharter, D. Barredo, K.-N. Schymik, V. Lienhard, L.-P. Henry, T. C. Lang, T. Lahaye, A. M. Läuchli, and A. Browaeys · 2020
Later among the works it cites.
Chiral spin liquid phase of the triangular lattice hubbard model: A density matrix renormalization group study
A. Szasz, J. Motruk, M. P. Zaletel, and J. E. Moore · 2020
Later among the works it cites.
Physics and Mathematics of Quantum Many-Body Systems
H. Tasaki · 2020
Later among the works it cites.
Hierarchy of linear light cones with long-range interactions
M. C. Tran, C.-F. Chen, A. Ehrenberg, A. Y. Guo, A. Deshpande, Y. Hong, Z.-X. Gong, A. V. Gorshkov, and A. Lucas · 2020
Later among the works it cites.
Restricted boltzmann machines for quantum states with non-abelian or anyonic symmetries
T. Vieijra, C. Casert, J. Nys, W. De Neve, J. Haegeman, J. Ryckebusch, and F. Verstraete · 2020
Later among the works it cites.
Fast digital methods for adiabatic state preparation
K. Wan and I. Kim · 2020
Later among the works it cites.
Isometric tensor network states in two dimensions
M. P. Zaletel and F. Pollmann · 2020
Later among the works it cites.
Interpreting machine learning of topological quantum phase transitions
Y. Zhang, P. Ginsparg, and E.-A. Kim · 2020
Later among the works it cites.
Sample-efficient learning of interacting quantum systems
A. Anshu, S. Arunachalam, T. Kuwahara, and M. Soleimanifar · 2021
Closest in time.
Unsupervised interpretable learning of topological indices invariant under permutations of atomic bands
O. Balabanov and M. Granath · 2021
Closest in time.
Band Representations and Topological Quantum Chemistry
J. Cano and B. Bradlyn · 2021
Closest in time.
Emergent randomness and benchmarking from many-body quantum chaos
J. Choi, A. L. Shaw, I. S. Madjarov, X. Xie, J. P. Covey, J. S. Cotler, D. K. Mark, H.-Y. Huang, A. Kale, H. Pichler, et al · 2021
Closest in time.
Emergent quantum state designs from individual many-body wavefunctions
J. S. Cotler, D. K. Mark, H.-Y. Huang, F. Hernandez, J. Choi, A. L. Shaw, M. Endres, and S. Choi · 2021
Closest in time.
Extraction of the many-body Chern number from a single wave function
H. Dehghani, Z.-P. Cian, M. Hafezi, and M. Barkeshli · 2021
Closest in time.
Hamiltonian-driven shadow tomography of quantum states
H.-Y. Hu and Y.-Z. You · 2021
Closest in time.
Power of data in quantum machine learning
H.-Y. Huang, M. Broughton, M. Mohseni, R. Babbush, S. Boixo, H. Neven, and J. R. McClean · 2021
Closest in time.
Efficient estimation of pauli observables by derandomization
H.-Y. Huang, R. Kueng, and J. Preskill · 2021
Closest in time.
Information-theoretic bounds on quantum advantage in machine learning
H.-Y. Huang, R. Kueng, and J. Preskill · 2021
Closest in time.
Unsupervised mapping of phase diagrams of 2D systems from infinite projected entangled-pair states via deep anomaly detection
K. Kottmann, P. Corboz, M. Lewenstein, and A. Acín · 2021
Closest in time.
Gauge Invariant Autoregressive Neural Networks for Quantum Lattice Models
D. Luo, Z. Chen, K. Hu, Z. Zhao, V. Mikyoung Hur, and B. K. Clark · 2021
Closest in time.
Rapid Exploration of Topological Band Structures Using Deep Learning
V. Peano, F. Sapper, and F. Marquardt · 2021
Closest in time.
Experimental estimation of quantum state properties from classical shadows
G. Struchalin, Y. A. Zagorovskii, E. Kovlakov, S. Straupe, and S. Kulik · 2021
Closest in time.
Fermionic partial tomography via classical shadows
A. Zhao, N. C. Rubin, and A. Miyake · 2021
Closest in time.