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Faculty of Mathematics

 

Career

  • 2022-date: Professor of Applied Mathematics, DAMTP, University of Cambridge, UK
  • 2016-2022: University Lecturer, DAMTP, University of Cambridge, UK
  • 2016: PhD at MIT

Research

Convex optimisation and applications

Selected Publications

Please see my publications page

Teaching

See my personal webpage

Publications

Generalized quantum asymptotic equipartition.
K Fang, H Fawzi, O Fawzi
– CoRR
(2024)
abs/2411.04035,
Sum-of-Squares Proofs of Logarithmic Sobolev Inequalities on Finite Markov Chains
O Faust, H Fawzi
– IEEE Transactions on Information Theory
(2023)
70,
803
Optimal Self-Concordant Barriers for Quantum Relative Entropies.
H Fawzi, J Saunderson
– SIAM Journal on Optimization
(2023)
33,
2858
A subpolynomial-time algorithm for the free energy of one-dimensional quantum systems in the thermodynamic limit.
H Fawzi, O Fawzi, SO Scalet
– Quantum
(2023)
7,
1011
Lifting for Simplicity: Concise Descriptions of Convex Sets
H Fawzi, J Gouveia, PA Parrilo, J Saunderson, RR Thomas
– SIAM Rev.
(2022)
64,
866
On polyhedral approximations of the positive semidefinite cone.
H Fawzi
– Mathematics of Operations Research
(2021)
46,
1479
The Set of Separable States has no Finite Semidefinite Representation Except in Dimension $3\times 2$
H Fawzi
– Communications in Mathematical Physics
(2021)
386,
1319
Geometric Renyi Divergence and its Applications in Quantum Channel Capacities
K Fang, H Fawzi
– CoRR
(2021)
384,
1615
Defining quantum divergences via convex optimization
H Fawzi, O Fawzi
– Quantum
(2021)
5,
1
Computing conditional entropies for quantum correlations.
P Brown, H Fawzi, O Fawzi
– Nature communications
(2021)
12,
575
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Research Group

Cantab Capital Institute for the Mathematics of Information

Room

F0.16

Telephone

01223 760384