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

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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. Adiabatic transport of neural network quantum states

    Publication
    Variational methods have offered controllable and powerful tools for capturing many-body quantum physics for decades. The recent introduction of expressive neural network quantum states has enabled the …
  2. Double descent: When do neural quantum states generalize?

    Publication
    Neural quantum states (NQS) provide flexible wavefunction parameterizations for numerical studies of quantum many-body physics. While inspired by deep learning, it remains unclear to what extent NQS …
  3. Nonperturbative decay of bipartite discrete time crystals

    Publication
    We study time-crystalline order in periodically driven quantum Ising models on disorder-free decorated lattices. Using a tensor network ansatz for the state which reflects the geometry …
  4. Dynamics of disordered quantum systems with two- and three-dimensional tensor networks

    Publication
    Quantum spin glasses form a good testbed for studying the performance of various quantum annealing and optimization algorithms. In this work we show how two- and three-dimensional …
  5. Bounding the speedup of the quantum-enhanced Markov-chain Monte Carlo algorithm

    Publication
  6. Barriers to efficient mixing of quantum-enhanced Markov chains

    Publication
  7. Barriers to efficient mixing of quantum-enhanced Markov chains

    Publication
  8. Confinement in the Transverse Field Ising Model on the Heavy Hex Lattice

    Publication
  9. Efficient tensor network simulation of IBM's Eagle kicked Ising experiment

    Publication
    We report an accurate and efficient classical simulation of a kicked Ising quantum system on the heavy hexagon lattice. A simulation of this system was recently performed on …
  10. Solving combinatorial optimization problems through stochastic Landau-Lifshitz-Gilbert dynamical systems

    Publication
  11. Quantum enhanced Markov chains require fine-tuned quenches

    Publication
  12. Re-entrant phase transitions induced by localization of zero-modes

    Publication
  13. Quantum many-body simulations with PauliStrings.jl

    Publication
  14. Universal semiclassical dynamics in disordered two-dimensional systems

    Publication
    The dynamics of disordered two-dimensional systems is much less understood than the dynamics of disordered chains, mainly due to the lack of appropriate numerical methods. We demonstrate …
  15. Ranking species in complex ecosystems through nestedness maximization

    Publication
  16. A Toffoli Gadget for Magnetic Tunnel Junctions Boltzmann Machines

    Publication
  17. Re-entrant phase transitions induced by localization of zero-modes

    Publication
  18. Re-entrant phase transitions induced by localization of zero-modes

    Publication
  19. Re-entrant phase transitions induced by localization of zero-modes

    Publication
    Common wisdom dictates that physical systems become less ordered when heated to higher temperature. However, several systems display the opposite phenomenon and move to a more ordered state …
  20. Bounding speedup of quantum-enhanced Markov chain Monte Carlo

    Publication
  21. Bounding speedup of quantum-enhanced Markov chain Monte Carlo

    Publication
  22. Efficient Tensor Network Simulation of IBM’s Eagle Kicked Ising Experiment

    Publication
  23. Exact solution to the fully connected XY model with Gaussian random fields by the replica method

    Publication
  24. Slowly decaying zero mode in a weakly nonintegrable boundary impurity model

    Publication
  25. Many-body delocalization from embedded thermal inclusion

    Publication
  26. Semiclassical bounds on the dynamics of two-dimensional interacting disordered fermions

    Publication
  27. Unveiling order from chaos by approximate 2-localization of random matrices

    Publication
  28. Variational adiabatic transport of tensor networks

    Publication
  29. Bath-induced delocalization in interacting disordered spin chains

    Publication
  30. Application of Pontryagin's maximum principle to quantum metrology in dissipative systems

    Publication
  31. Transverse instability and universal decay of spin spiral order in the Heisenberg model

    Publication
  32. Experimental verification of the area law of mutual information in a quantum field simulator

    Publication
  33. Towards unitary dynamics of large two-dimensional quantum rotor models

    Publication
  34. Extracting Off-Diagonal Order from Diagonal Basis Measurements

    Publication
  35. Dynamical obstruction to localization in a disordered spin chain

    Publication
  36. Universality in the onset of quantum chaos in many-body systems

    Publication
  37. Quantum sampling algorithms, phase transitions, and computational complexity

    Publication
  38. Quantum Sampling Algorithms for Near-Term Devices

    Publication
  39. A magnon scattering platform

    Publication
  40. Optimal control for quantum metrology via Pontryagin’s principle

    Publication
  41. Quantum generative model for sampling many-body spectral functions

    Publication
    Quantum phase estimation is at the heart of most quantum algorithms with exponential speedup. In this letter we demonstrate how to utilize it to compute the dynamical response …
  42. Thermalization of dilute impurities in one dimensional spin chains

    Publication
  43. Markovian baths and quantum avalanches

    Publication
  44. Digital quantum simulation of NMR experiments

    Publication
  45. Platform tailored co-design of gate-based quantum simulation

    Publication

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