Henry Lin

All Publications

• A symmetry algebra in double-scaled SYK SCIPOST PHYSICS Lin, H. W., Stanford, D. 2023; 15 (6)

  View details for DOI 10.21468/SciPostPhys.15.6.234

  View details for Web of Science ID 001122778600002

• Universality in long-distance geometry and quantum complexity. Nature Brown, A. R., Freedman, M. H., Lin, H. W., Susskind, L. 2023; 622 (7981): 58-62

  Abstract

  In physics, two systems that radically differ at short scales can exhibit strikingly similar macroscopic behaviour: they are part of the same long-distance universality class1. Here we apply this viewpoint to geometry and initiate a program of classifying homogeneous metrics on group manifolds2 by their long-distance properties. We show that many metrics on low-dimensional Lie groups have markedly different short-distance properties but nearly identical distance functions at long distances, and provide evidence that this phenomenon is even more robust in high dimensions. An application of these ideas of particular interest to physics and computer science is complexity geometry3-7-the study of quantum computational complexity using Riemannian geometry. We argue for the existence of a large universality class of definitions of quantum complexity, each linearly related to the other, a much finer-grained equivalence than typically considered. We conjecture that a new effective metric emerges at larger complexities that describes a broad class of complexity geometries, insensitive to various choices of microscopic penalty factors. We discuss the implications for recent conjectures in quantum gravity.

  View details for DOI 10.1038/s41586-023-06460-3

  View details for PubMedID 37794268

  View details for PubMedCentralID 3763255

• Bootstrap bounds on D0-brane quantum mechanics JOURNAL OF HIGH ENERGY PHYSICS Lin, H. W. 2023

  View details for DOI 10.1007/JHEP06(2023)038

  View details for Web of Science ID 001003585200001

• Quantum Gravity in the Lab. I. Teleportation by Size and Traversable Wormholes PRX QUANTUM Brown, A. R., Gharibyan, H., Leichenauer, S., Lin, H. W., Nezami, S., Salton, G., Susskind, L., Swingle, B., Walter, M. 2023; 4 (1)

  View details for DOI 10.1103/PRXQuantum.4.010320

  View details for Web of Science ID 000943221700001

• Quantum Gravity in the Lab. II. Teleportation by Size and Traversable Wormholes PRX QUANTUM Nezami, S., Lin, H. W., Brown, A. R., Gharibyan, H., Leichenauer, S., Salton, G., Susskind, L., Swingle, B., Walter, M. 2023; 4 (1)

  View details for DOI 10.1103/PRXQuantum.4.010321

  View details for Web of Science ID 000943221700002

• The bulk Hilbert space of double scaled SYK JOURNAL OF HIGH ENERGY PHYSICS Lin, H. W. 2022

  View details for DOI 10.1007/JHEP11(2022)060

  View details for Web of Science ID 000882376000004

• The entanglement wedge of unknown couplings JOURNAL OF HIGH ENERGY PHYSICS Almheiri, A., Lin, H. W. 2022

  View details for DOI 10.1007/JHEP08(2022)062

  View details for Web of Science ID 000836610800011

• Bootstraps to strings: solving random matrix models with positivite JOURNAL OF HIGH ENERGY PHYSICS Lin, H. W. 2020

  View details for DOI 10.1007/JHEP06(2020)090

  View details for Web of Science ID 000542713000001

• Complexity geometry and Schwarzian dynamics JOURNAL OF HIGH ENERGY PHYSICS Lin, H. W., Susskind, L. 2020

  View details for DOI 10.1007/JHEP01(2020)087

  View details for Web of Science ID 000514604300002

• Complexity of Jackiw-Teitelboim gravity PHYSICAL REVIEW D Brown, A. R., Gharibyan, H., Lin, H. W., Susskind, L., Thorlacius, L., Zhao, Y. 2019; 99 (4)

  View details for DOI 10.1103/PhysRevD.99.046016

  View details for Web of Science ID 000459910700011

• Why Does Deep and Cheap Learning Work So Well? JOURNAL OF STATISTICAL PHYSICS Lin, H. W., Tegmark, M., Rolnick, D. 2017; 168 (6): 1223-1247

  View details for DOI 10.1007/s10955-017-1836-5

  View details for Web of Science ID 000408691600004