Operator spreading in random unitary circuits A Nahum, S Vijay, J Haah Physical Review X 8 (2), 021014, 2018 | 795 | 2018 |

Quantum entanglement growth under random unitary dynamics A Nahum, J Ruhman, S Vijay, J Haah Physical Review X 7 (3), 031016, 2017 | 772 | 2017 |

Local stabilizer codes in three dimensions without string logical operators J Haah Physical Review A 83 (4), 042330, 2011 | 681 | 2011 |

Fracton topological order, generalized lattice gauge theory, and duality S Vijay, J Haah, L Fu Physical Review B 94 (23), 235157, 2016 | 554 | 2016 |

A new kind of topological quantum order: A dimensional hierarchy of quasiparticles built from stationary excitations S Vijay, J Haah, L Fu Physical Review B 92 (23), 235136, 2015 | 378 | 2015 |

Magic-state distillation with low overhead S Bravyi, J Haah Physical Review A—Atomic, Molecular, and Optical Physics 86 (5), 052329, 2012 | 368 | 2012 |

Sample-optimal tomography of quantum states J Haah, AW Harrow, Z Ji, X Wu, N Yu Proceedings of the forty-eighth annual ACM symposium on Theory of Computing …, 2016 | 345 | 2016 |

Quantum Self-Correction in the 3D Cubic Code Model S Bravyi, J Haah Physical review letters 111 (20), 200501, 2013 | 280 | 2013 |

Glassy quantum dynamics in translation invariant fracton models A Prem, J Haah, R Nandkishore Physical Review B 95 (15), 155133, 2017 | 191 | 2017 |

Quantum algorithm for simulating real time evolution of lattice Hamiltonians J Haah, MB Hastings, R Kothari, GH Low SIAM Journal on Computing 52 (6), FOCS18-250-FOCS18-284, 2021 | 179 | 2021 |

Dynamically generated logical qubits MB Hastings, J Haah Quantum 5, 564, 2021 | 140 | 2021 |

Commuting Pauli Hamiltonians as maps between free modules J Haah Communications in Mathematical Physics 324 (2), 351-399, 2013 | 124 | 2013 |

Fiber bundle codes: breaking the *n*^{1/2} polylog(*n*) barrier for Quantum LDPC codesMB Hastings, J Haah, R O'Donnell Proceedings of the 53rd Annual ACM SIGACT Symposium on Theory of Computing …, 2021 | 105 | 2021 |

Magic state distillation with low space overhead and optimal asymptotic input count J Haah, MB Hastings, D Poulin, D Wecker Quantum 1, 31, 2017 | 98 | 2017 |

Energy Landscape of 3D Spin Hamiltonians with Topological Order S Bravyi, J Haah Physical Review Letters 107 (15), 150504, 2011 | 97 | 2011 |

How dynamical quantum memories forget L Fidkowski, J Haah, MB Hastings Quantum 5, 382, 2021 | 95 | 2021 |

Product decomposition of periodic functions in quantum signal processing J Haah Quantum 3, 190, 2019 | 95 | 2019 |

Codes and Protocols for Distilling , controlled-, and Toffoli Gates J Haah, MB Hastings Quantum 2, 71, 2018 | 80 | 2018 |

Spurious long-range entanglement and replica correlation length L Zou, J Haah Physical Review B 94 (7), 075151, 2016 | 80 | 2016 |

An invariant of topologically ordered states under local unitary transformations J Haah Communications in Mathematical Physics 342 (3), 771-801, 2016 | 75 | 2016 |