Publications by the researcher in collaboration with Toby S. Cubitt (15)

2024

  1. Security of quantum position-verification limits Hamiltonian simulation via holography

    Journal of High Energy Physics, Vol. 2024, Núm. 8

2022

  1. Undecidability of the Spectral Gap

    Forum of Mathematics, Pi, Vol. 10

2020

  1. Undecidability of the Spectral Gap in One Dimension

    Physical Review X, Vol. 10, Núm. 3

2019

  1. The Un(solv)able Problem

    The Best Writing on Mathematics: 2019 (Princeton University Press), pp. 132-149

2018

  1. Size-driven quantum phase transitions

    Proceedings of the National Academy of Sciences of the United States of America, Vol. 115, Núm. 1, pp. 19-23

  2. The Un(solv)able Problem

    Scientific American, Vol. 319, Núm. 4, pp. 28-37

  3. The Un(solv)able Problem: After a years-long intellectual journey, three mathematicians have discovered that a problem of central importance in physics is impossible to solve-and that means other big questions may be undecidable, too

    Scientific American

2016

  1. Fundamental limitations in the purifications of tensor networks

    Journal of Mathematical Physics, Vol. 57, Núm. 7

  2. Undecidability of the spectral gap

    CCA 2016 - 13th International Conference on Computability and Complexity in Analysis - Proceedings

2015

  1. Area law for fixed points of rapidly mixing dissipative quantum systems

    Journal of Mathematical Physics, Vol. 56, Núm. 10

  2. Rapid mixing and stability of quantum dissipative systems

    Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 91, Núm. 4

  3. Stability of Local Quantum Dissipative Systems

    Communications in Mathematical Physics, Vol. 337, Núm. 3, pp. 1275-1315

  4. Unbounded number of channel uses may be required to detect quantum capacity

    Nature Communications, Vol. 6

  5. Undecidability of the spectral gap

    Nature, Vol. 528, Núm. 7581, pp. 207-211

2013

  1. Preparing topological projected entangled pair states on a quantum computer

    Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 88, Núm. 3