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Faculty of Mathematics

 

Career

  • 2016-date: University Lecturer, DAMTP, University of Cambridge, UK
  • 2016: PhD at MIT

Research

Convex optimisation and applications

Selected Publications

Please see my publications page

Teaching

Lent 2017: Topics in Convex Optimisation

Publications

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 Rényi Divergence and its Applications in Quantum Channel Capacities
K Fang, H Fawzi
– CoRR
(2021)
abs/1909.05758,
1615
On polyhedral approximations of the positive semidefinite cone.
H Fawzi
– CoRR
(2021)
abs/1811.09649,
moor.2020.1077
Defining quantum divergences via convex optimization
H Fawzi, O Fawzi
– Quantum
(2021)
5,
387
Computing conditional entropies for quantum correlations.
P Brown, H Fawzi, O Fawzi
– Nature communications
(2021)
12,
575
Defining quantum divergences via convex optimization.
H Fawzi, O Fawzi
– Quantum
(2021)
5,
387
The sum-of-squares hierarchy on the sphere and applications in quantum information theory
K Fang, H Fawzi
– Mathematical Programming
(2020)
1
On representing the positive semidefinite cone using the second-order cone.
H Fawzi
– Math. Program.
(2019)
175,
109
Learning dynamic polynomial proofs.
A Fawzi, M Malinowski, H Fawzi, O Fawzi
– CoRR
(2019)
32,
Semidefinite Approximations of the Matrix Logarithm
H Fawzi, J Saunderson, PA Parrilo
– Found. Comput. Math.
(2018)
19,
259
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Research Group

Cantab Capital Institute for the Mathematics of Information

Room

F0.16

Telephone

01223 760384