Matthew Hastings

Last updated
Matthew Hastings
Alma mater Massachusetts Institute of Technology
Scientific career
Fields Physics
Mathematics
Institutions Microsoft
Duke University
Los Alamos National Laboratory

Matthew Hastings is an American physicist, currently a Principal Researcher at Microsoft. Previously, he was a professor at Duke University and a research scientist at the Center for Nonlinear Studies and Theoretical Division, Los Alamos National Laboratory. He received his PhD in physics at MIT, in 1997, under Leonid Levitov. [1]

Contents

Scientific contributions

While Hastings primarily works in quantum information science, he has made contributions to a range of topics in physics and related fields.

He proved an extension of the Lieb-Schultz-Mattis theorem (see Lieb-Robinson bounds) to dimensions greater than one, [2] providing foundational mathematical insights into topological quantum computing.

He disproved the additivity conjecture for the classical capacity of quantum channels, a long-standing open problem in quantum Shannon theory. [3]

He and Michael Freedman formulated the NLTS conjecture, a precursor to a quantum PCP theorem (qPCP). [4]

Awards and honors

He was invited to speak at the 2022 International Congress of Mathematicians in St. Petersburg in the mathematical physics section. [5]

Publications

References

  1. ↑ Hastings, Matthew B. "Curriculum Vitae" (PDF). Center for Nonlinear Studies. Los Alamos National Laboratory. Retrieved 13 June 2022.
  2. ↑ Hastings, M. B. (2004). "Lieb-Schultz-Mattis in Higher Dimensions". Phys. Rev. B. 69 (10): 104431. arXiv: cond-mat/0305505 . Bibcode:2004PhRvB..69j4431H. doi:10.1103/physrevb.69.104431. S2CID   119610203.{{cite journal}}: CS1 maint: article number as page number (link)
  3. ↑ Hastings, M. B. (2009). "A Counterexample to Additivity of Minimum Output Entropy". Nature Physics. 5: 255. arXiv: 0809.3972 . doi: 10.1038/nphys1224 .
  4. ↑ Freedman, Michael H.; Hastings, Matthew B. (January 2014). "Quantum Systems on Non-$k$-Hyperfinite Complexes: a generalization of classical statistical mechanics on expander graphs". Quantum Information and Computation. 14 (1&2): 144–180. arXiv: 1301.1363 . doi:10.26421/qic14.1-2-9. ISSN   1533-7146. S2CID   10850329.
  5. ↑ "ICM Announces its 2022 Invited Speakers". Institute for Pure and Applied Mathematics, UCLA. 30 September 2021. Retrieved 19 September 2025.
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