|Fields||Quantum computation, Computational complexity|
|Institutions||University of California, Berkeley|
|Alma mater||IIT Delhi, University of California, Berkeley|
|Thesis||Randomness, Adversaries and Computation (1986)|
|Doctoral advisor||Manuel Blum|
|Doctoral students||Scott Aaronson
He is the brother of Vijay Vazirani.
Umesh Virkumar Vazirani (Hindi: उमेश वीरकुमार वज़ीरानी) is the Roger A. Strauch Professor of Electrical Engineering and Computer Science at the University of California, Berkeley, and the director of the Berkeley Quantum Computation Center. His research interests lie primarily in quantum computing. He is also the author of a textbook on algorithms.
Vazirani is one of the founders of the field of quantum computing. His 1993 paper with his student Ethan Bernstein on quantum complexity theory defined a model of quantum Turing machines which was amenable to complexity based analysis. This paper also gave an algorithm for the quantum Fourier transform, which was then used by Peter Shor within a year in his celebrated quantum algorithm for factoring integers.
Awards and honors
In 2005 both Vazirani and his brother were inducted as Fellows of the Association for Computing Machinery, Umesh for “contributions to theoretical computer science and quantum computation” and his brother Vijay for his work on approximation algorithms. Vazirani was awarded the Fulkerson Prize for 2012 for his work on improving the approximation ratio for graph separators and related problems (jointly with Satish Rao and Sanjeev Arora).
- Mulmuley, Ketan; Vazirani, Umesh V.; Vazirani, Vijay V. (1987), "Matching is as easy as matrix inversion", Combinatorica 7 (1): 105–113, doi:10.1007/BF02579206, MR 905157. A preliminary version of this paper was also published in STOC '87.
- Bernstein, Ethan; Vazirani, Umesh (1993), "Quantum complexity theory", Proceedings of the Twenty-Fifth Annual ACM Symposium on Theory of Computing (STOC '93), pp. 11–20, doi:10.1145/167088.167097.
- Kearns, Michael J.; Vazirani, Umesh V. (1994), An Introduction to Computational Learning Theory, MIT Press, ISBN 9780262111935.
- Bennett, Charles H.; Bernstein, Ethan; Brassard, Gilles; Vazirani, Umesh (1997), "Strengths and weaknesses of quantum computing", SIAM Journal on Computing 26 (5): 1510–1523, arXiv:quant-ph/9701001, doi:10.1137/S0097539796300933, MR 1471991.