User:Qubissential/sandbox
Toby Cubitt | |
|---|---|
| Born | Toby Stanley Cubitt |
| Education | European School, Luxembourg I[1] |
| Alma mater | Cambridge University (BA, MSci) Max Planck Institute (PhD) |
| Known for | Quantum Information Mathematical Physics Undecidability of the Spectral Gap |
| Scientific career | |
| Fields | Mathematical Physics Computer Science |
| Institutions | Cambridge University University College London |
| Doctoral advisor | Ignacio Cirac |
| Website | www |
Toby Cubitt is a British physicist and reader at University College London.[2] His research investigates a variety of problems in quantum information and many-body quantum physics. In 2019 he was awarded the Whitehead Prize by the London Mathematical Society for fruitfully combining quantum information and complexity theory techniques with many-body quantum physics.[3] He is best known for proving that the spectral gap problem is undecidable.[4][5][6] He is a founder of the quantum technologies startup Phasecraft.[7]
Education
[edit]Cubitt was educated in Luxembourg. Following this, he undertook a BA and MSci in Natural Sciences at Churchill College, Cambridge University specialising in physics. He then undertook a PhD at the Max Planck Institute under supervisor Ignacio Cirac specialising in quantum information theory.[8]
Research and career
[edit]As of 2019, Cubitt is a reader in quantum information in the computer science group at University College London, focusing primarily on applying techniques from quantum information theory to physics. Previously he has done postdoctoral research at Bristol University and Complutense University of Madrid. Notable research includes showing that the problem of deciding whether the spectral gap of a Hamiltonian is gapped or gapless in the thermodynamic limit is undecidable.
Research
[edit]Cubitt's research has covered quantum information theory, quantum computing, and condensed matter physics. In particular, his work has been fruitful in combining these fields.
Undecidability of the Spectral Gap
[edit]With collaborators Michael Wolf and David Perez-Garcia, Cubitt showed that the general problem of finding whether the spectral gap of a Hamiltonian specified on a lattice is zero or greater than some constant is undecidable[4][5]. The result is significant in that the spectral gap determines the fundamental behaviour of quantum systems. Furthermore, it leaves open the possibility that the Yang-Mills mass gap conjecture is undecidable. This result led to Cubitt and collaborators to be included in a feature article in Scientific America.[6]
Awards
[edit]Cubitt has received the Whitehead prize in recognition of his contributions to mathematical physics, in particular his work combining computability and computational complexity theory with many-body quantum physics.
References
[edit]- ^ Cite error: The named reference
indiewas invoked but never defined (see the help page). - ^ UCL (13 September 2018). "Dr Toby Cubitt". UCL Quantum Science and Technology Institute. Retrieved 6 July 2019.
- ^ "LMS prize winners 2019 | London Mathematical Society". www.lms.ac.uk. Retrieved 5 July 2019.
- ^ a b Wolf, Michael M.; Perez-Garcia, David; Cubitt, Toby (16 February 2015). "Undecidability of the Spectral Gap (full version)". doi:10.1038/nature16059.
{{cite journal}}: Cite journal requires|journal=(help) - ^ a b Wolf, Michael M.; Perez-Garcia, David; Cubitt, Toby S. (2015-12). "Undecidability of the spectral gap". Nature. 528 (7581): 207–211. doi:10.1038/nature16059. ISSN 1476-4687.
{{cite journal}}: Check date values in:|date=(help) - ^ a b "The Unsolvable Problem". Scientific American. Retrieved 5 July 2019.
- ^ UCL (23 July 2018). "Startups and Spinouts". UCL Quantum Science and Technology Institute. Retrieved 5 July 2019.
- ^ "Toby 'qubit' Cubitt - Toby 'qubit' Cubitt". www.dr-qubit.org. Retrieved 5 July 2019.
{{DEFAULTSORT:Cubitt, Toby}}
[[Category:1980s births]]
[[Category:Living people]]
[[Category:21st-century British physicists]]
[[Category:Wikipedia people]]