Matthew Hastings
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]
Awards and honours
He is invited to speak at the 2022 International Congress of Mathematicians in St. Petersburg in the mathematical physics section[3]
Publications
References
- 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.
- Hastings, M. B. (2009). "A Counterexample to Additivity of Minimum Output Entropy". Nature Physics. 5: 255. doi:10.1038/nphys1224.
- "ICM Section 11. Mathematical Physics".