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  • Founded by Jim and Marilyn Simons, we’re a private philanthropy advancing mathematics and basic science.

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Bringing people and ideas together to fund, conduct, and share transformative science.

Our grants advance knowledge and strengthen connections between science and society.

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We convene scientists, mathematicians, and thinkers to share ideas and explore new questions.

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Founded by Jim and Marilyn Simons, we’re a private philanthropy advancing mathematics and basic science.

Work with us on the frontier of basic science research.

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The Flatiron Institute is a research center that uses computational science to advance fields like physics, biology, and astronomy.

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Featured

Dissecting mechanisms of hyperarousal in autism and related disorders using the Simons Sleep Project

Funded Work

Gravity Follows Newton’s and Einstein’s Rules, Even at Cosmic Scales

April 15, 2026

Scientists Capture Superconductivity’s ‘Dancing Pairs’ for First Time, Filling Gap in Decades-Old Theory

April 15, 2026

How SURFiN Fellowships Jump-Started These 3 Neuroscience Students’ STEM Careers

March 18, 2026

Results

  1. Variational Benchmarks for Quantum Many-Body Problems

    Publication
  2. Neural-Network Quantum States for Periodic Systems in Continuous Space

    Publication
    We introduce a family of neural quantum states for the simulation of strongly interacting systems in the presence of spatial periodicity. Our variational state is parametrized in terms …
  3. Gauge equivariant neural networks for quantum lattice gauge theories

    Publication
    Gauge symmetries play a key role in physics appearing in areas such as quantum field theories of the fundamental particles and emergent degrees of freedom in quantum materials …
  4. Variational Monte Carlo calculations of A≤4 nuclei with an artificial neural-network correlator ansatz

    Publication
    The complexity of many-body quantum wave functions is a central aspect of several fields of physics and chemistry where non-perturbative interactions are prominent. Artificial neural networks …
  5. Continuous-variable neural-network quantum states and the quantum rotor model

    Publication
    We initiate the study of neural-network quantum state algorithms for analyzing continuous-variable lattice quantum systems in first quantization. A simple family of continuous-variable trial wavefunctons …
  6. Fermionic Wave Functions from Neural-Network Constrained Hidden States

    Publication
    We introduce a systematically improvable family of variational wave functions for the simulation of strongly correlated fermionic systems. This family consists of Slater determinants in an augmented Hilbert …
  7. Precise measurement of quantum observables with neural-network estimators

    Publication
    The measurement precision of modern quantum simulators is intrinsically constrained by the limited set of measurements that can be efficiently implemented on hardware. This fundamental limitation is particularly …
  8. Quantum process tomography with unsupervised learning and tensor networks

    Publication
    The impressive pace of advance of quantum technology calls for robust and scalable techniques for the characterization and validation of quantum hardware. Quantum process tomography, the reconstruction of …
  9. Natural evolution strategies and variational Monte Carlo

    Publication
    A notion of quantum natural evolution strategies is introduced, which provides a geometric synthesis of a number of known quantum/classical algorithms for performing classical black-box optimization …
  10. Deep learning the Hohenberg-Kohn maps of Density Functional Theory

    Publication
    A striking consequence of the Hohenberg-Kohn theorem of density functional theory is the existence of a bijection between the local density and the ground-state many-body …
  11. Fermionic neural-network states for ab-initio electronic structure

    Publication
  12. Study of the Two-Dimensional Frustrated J1-J2 Model with Neural Network Quantum States

    Publication
  13. Quantum Natural Gradient

    Publication
  14. NetKet: A Machine Learning Toolkit for Many-Body Quantum Systems

    Publication
  15. Neural-Network Approach to Dissipative Quantum Many-Body Dynamics

    Publication
  16. Restricted Boltzmann machines in quantum physics

    Publication
  17. Machine learning and the physical sciences

    Publication
  18. Ground state phase diagram of the one-dimensional Bose-Hubbard model from restricted Boltzmann machines

    Publication
  19. Deep autoregressive models for the efficient variational simulation of many-body quantum systems

    Publication
  20. Quantum Simulators: Architectures and Opportunities

    Publication
  21. Symmetries and many-body excited states with neural-network quantum states

    Publication
  22. Neural-network states for the classical simulation of quantum computing

    Publication
  23. Single-atom-resolved probing of lattice gases in momentum space

    Publication
    Measuring the full distribution of individual particles is of fundamental importance to characterize many-body quantum systems through correlation functions at any order. Here, we demonstrate the possibility …
  24. Universal Scaling Laws for Correlation Spreading in Quantum Systems with Short- and Long-Range Interactions

    Publication
    The spreading of correlations after a quantum quench is studied in a wide class of lattice systems, with short- and long-range interactions. Using a unifying quasiparticle framework …
  25. Learning hard quantum distributions with variational autoencoders

    Publication
    The exact description of many-body quantum systems represents one of the major challenges in modern physics, because it requires an amount of computational resources that scales exponentially …
  26. Constructing exact representations of quantum many-body systems with deep neural networks

    Publication
    We develop a constructive approach to generate artificial neural networks representing the exact ground states of a large class of many-body lattice Hamiltonians. It is based on …
  27. Neural-network quantum state tomography

    Publication
    The experimental realization of increasingly complex synthetic quantum systems calls for the development of general theoretical methods to validate and fully exploit quantum resources. Quantum state tomography (QST …

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