Matthew Hastings

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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.

While Hastings primarily works in Quantum information science, he 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.[1] This provided 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.[2]

Publications[]

References[]

  1. ^ Hastings, M. B. (2004). "Lieb-Schultz-Mattis in Higher Dimensions". Phys. Rev. B. 69: 104431. arXiv:cond-mat/0305505. doi:10.1103/physrevb.69.104431.
  2. ^ Hastings, M. B. (2009). "A Counterexample to Additivity of Minimum Output Entropy". Nature Physics. 5: 255.
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