Matthew Hastings
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Mathematics
Matthew Hastings | |
|---|---|
| Alma mater | Massachusetts Institute of Technology |
| Known for | NLTS conjecture |
| 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]
While Hastings primarily works in quantum information science, he has made contributions to a range of topics in physics and related fields.
In 2004, 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.
In 2008, 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]