Omar Fawzi |
Publications
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Learning Properties of Quantum States Without the I.I.D. Assumption
Omar Fawzi, Richard Kueng, Damian Markham, Aadil Oufkir
arXiv:2401.16922 -
Mathematical discoveries from program search with large language models
Bernardino Romera-Paredes, Mohammadamin Barekatain, Alexander Novikov, Matej Balog, M. Pawan Kumar, Emilien Dupont, Francisco J. R. Ruiz, Jordan S. Ellenberg, Pengming Wang, Omar Fawzi, Pushmeet Kohli, Alhussein Fawzi
Nature 625, 468-457, 2024 -
Certified algorithms for equilibrium states of local quantum Hamiltonians
Hamza Fawzi, Omar Fawzi, Samuel O. Scalet
arXiv:2311.18706
Presented at QIP'24 -
Broadcast Channel Coding: Algorithmic Aspects and Non-Signaling Assistance
Omar Fawzi, Paul Fermé
arXiv:2310.05515 -
Entropy Constraints for Ground Energy Optimization
Hamza Fawzi, Omar Fawzi, Samuel O. Scalet
arXiv:2305.06855
Presented at BIID'23 -
Quantum Channel Certification with Incoherent Strategies
Omar Fawzi, Nicolas Flammarion, Aurélien Garivier, Aadil Oufkir
arXiv:2303.01188
Proceedings of COLT'23 -
Lower Bounds on Learning Pauli Channels
Omar Fawzi, Aadil Oufkir, Daniel Stilck Franca
arXiv:2301.09192 -
A subpolynomial-time algorithm for the free energy of one-dimensional quantum systems in the thermodynamic limit
Hamza Fawzi, Omar Fawzi, Samuel O. Scalet
Quantum 7, 1011, 2023 arXiv:2209.14989
Proceedings of ITCS'23
Presented at QIP'23 -
Multiple-Access Channel Coding with Non-Signaling Correlations
Omar Fawzi, Paul Fermé
IEEE Transactions on Information Theory, to appear arXiv:2206.10968
Proceedings of ISIT'22 -
Generalised entropy accumulation
Tony Metger, Omar Fawzi, David Sutter, Renato Renner
arXiv:2203.04989
Proceedings of FOCS'22
Presented at QIP'23 as a short plenary talk -
A lower bound on the space overhead of fault-tolerant quantum computation
Omar Fawzi, Alexander Muller-Hermes, Ala Shayeghi
arXiv:2202.00119
Proceedings of ITCS'22 -
Larger Corner-Free Sets from Combinatorial Degenerations
Matthias Christandl, Omar Fawzi, Hoang Ta, Jeroen Zuiddam
arXiv:2111.08262
Proceedings of ITCS'22 -
Symmetric Subrank of Tensors and Applications
Matthias Christandl, Omar Fawzi, Hoang Ta, Jeroen Zuiddam
arXiv:2104.01130
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Device-independent lower bounds on the conditional von Neumann entropy
Peter Brown, Hamza Fawzi, Omar Fawzi
arXiv:2106.13692
Presented at QIP'22 -
Sequential algorithms for testing identity and closeness of distributions
Omar Fawzi, Nicolas Flammarion, Aurélien Garivier, Aadil Oufkir
arXiv:2205.06069
Proceedings of NeurIPS'21 -
A hierarchy of efficient bounds on quantum capacities exploiting symmetry
Omar Fawzi, Ala Shayeghi, Hoang Ta
IEEE Transactions on Information Theory, vol. 68, no. 11, pp. 7346-7360, 2022 arXiv:2203.02127
Proceedings of ISIT'21 -
Tight Approximation Guarantees for Concave Coverage Problems
Siddharth Barman, Omar Fawzi, Paul Fermé
arXiv:2010.00970
Proceedings of STACS'21 -
Defining quantum divergences via convex optimization
Hamza Fawzi, Omar Fawzi
Quantum 5, 387, 2021 arXiv:2007.12576
Presented at QIP'21 -
Computing conditional entropies for quantum correlations
Peter Brown, Hamza Fawzi, Omar Fawzi
Nature Communications 12, Article number: 575, 2021 arXiv:2007.125756
Presented at QIP'21 -
Quasi-polynomial time algorithms for free quantum games in bounded dimension
Hyejung H. Jee, Carlo Sparaciari, Omar Fawzi, Mario Berta
arXiv:2005.08883
Proceedings of ICALP'21 -
A chain rule for the quantum relative entropy
Kun Fang, Omar Fawzi, Renato Renner, David Sutter
Physical Review Letters, vol. 124, Iss. 10 - 13 March 2020 arXiv:1909.05826
Presented at QIP'20 -
Learning dynamic polynomial proofs
Alhussein Fawzi, Mateusz Malinowski, Hamza Fawzi, Omar Fawzi
arXiv:1906.01681
Proceedings of NeurIPS'19 -
Bounds on Lyapunov exponents via entropy accumulation
David Sutter, Omar Fawzi, Renato Renner
IEEE Transactions on Information Theory, vol. 67, no 1, pages 10-24, 2021 arXiv:1905.03270 -
Tight Approximation Bounds for Maximum Multi-Coverage
Siddharth Barman, Omar Fawzi, Suprovat Ghoshal, Emirhan Gurpinar
Mathematical Programmming 192, 443-476, 2022 arXiv:1905.00640
Proceedings of IPCO'20 -
Semidefinite programming hierarchies for constrained bilinear optimization
Mario Berta, Francesco Borderi, Omar Fawzi, Volkher Scholz
Mathematical Programming, 2021 arXiv:1810.12197 -
Constant-overhead quantum fault-tolerance with quantum expander codes
Omar Fawzi, Antoine Grospellier, Anthony Leverrier
arXiv:1808.03821
Proceedings of FOCS'18 .
Invited for CACM Research Highlights, January 2021, Vol. 64
Presented at QIP'19 as a plenary talk -
Entropy accumulation with improved second-order term
Frederic Dupuis, Omar Fawzi
IEEE Transactions on Information Theory, vol. 65, pp. 7596 - 7612, 2019 arXiv:1805.11652 -
Adverserial vulnerabilty for any classifier
Alhussein Fawzi, Hamza Fawzi, Omar Fawzi
arXiv:1802.08686
Proceedings of NIPS'18 .
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Robustness of classifiers to uniform lp and Gaussian noise
Jean-Yves Franceschi, Alhussein Fawzi, Omar Fawzi
arXiv:1802.07971
Proceedings of AISTATS'18 .
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Efficient decoding of random errors for quantum expander codes
Omar Fawzi, Antoine Grospellier, Anthony Leverrier
arXiv:1711.08351
Proceedings of STOC'18 .
Presented at QIP'18 -
Efficient optimization of the quantum relative entropy
Hamza Fawzi, Omar Fawzi
Journal of Physics A: Mathematical and Theoretical, vol 51, no 5, 2018 arXiv:1705.06671
- On the spectral properties of symmetric functions
Anil Ada, Omar Fawzi, Raghav Kulkarni
arXiv:1704.03176
- Universal adversarial perturbations
Seyed-Mohsen Moosavi-Dezfooli, Alhussein Fawzi, Omar Fawzi, Pascal Frossard
arXiv:1610.08401
Proceedings of CVPR'17 .
- Entropy accumulation
Frédéric Dupuis, Omar Fawzi, Renato Renner
Communications in Mathematical Physics, to appear arXiv:1607.01796
Short version combined with arXiv:1607.01797 published as:
Practical device-independent quantum cryptography via entropy accumulation
Nature Communications 9, Jan 2018
Presented at QIP'17 as a plenary talk - On Variational Expressions for Quantum Relative Entropies
Mario Berta, Omar Fawzi, Marco Tomamichel
Letters in Mathematical Physics, 2017 arXiv:1512.02615
Conference version: Exploiting variational formulas for quantum relative entropy Proceedings of ISIT'16, pp. 2844-2848 - Algorithmic Aspects of Optimal Channel Coding
Siddharth Barman, Omar Fawzi
IEEE Transactions on Information Theory, vol 64, pp. 1038-1045, 2018 arXiv:1508.04095
Conference version: Proceedings of ISIT'16, pp. 905-909 - Quantum Bilinear Optimization
Mario Berta, Omar Fawzi, Volkher Scholz
SIAM Journal on Optimization, vol. 26, no. 3, pp. 1529-1564, 2016 arXiv:1506.08810
MATLAB code for channel coding [channel.m] and for CS+ [csp3.m] (uses [ind2word.m], [word2ind.m] and [to_num.m]). - Universal recovery map for approximate Markov chains
David Sutter, Omar Fawzi, Renato Renner
Proceedings of the Royal Society A, vol. 472, no. 2186, 2016 arXiv:1504.07251
- Analysis of classifiers' robustness to adversarial perturbations
Alhussein Fawzi, Omar Fawzi, Pascal Frossard
Machine Learning, 2017 arXiv:1502.02590
- Quantum conditional mutual information and approximate Markov chains
Omar Fawzi, Renato Renner
Communications in Mathematical Physics, vol 340, issue 2, pp. 575-611, 2015 arXiv:1410.0664
Presented at QIP'16 as a plenary talk [slides] - Quantum-proof randomness extractors via operator space theory
Mario Berta, Omar Fawzi, Volkher Scholz
IEEE Transactions on Information Theory, vol. 63, pp. 2480 - 2503, 2017 arXiv:1409.3563
Presented at QIP'15
Conference version: Semidefinite programs for randomness extractors, in Proceedings of TQC'15, pp. 73-91. - Variations on Classical and Quantum extractors
Mario Berta, Omar Fawzi, Volkher Scholz, Oleg Szehr
arXiv:1402.3279
Proceedings of ISIT'14, pp. 1474-1478.
- Decoupling with random quantum circuits
Winton Brown, Omar Fawzi
Communications in Mathematical Physics, vol 340, issue 3, pp. 867-900, 2015 arXiv:1307.0632
The final version is available at link.springer.com
Presented at QIP'14 [slides]
- Entanglement sampling and applications
Frédéric Dupuis, Omar Fawzi, Stephanie Wehner
IEEE Transactions on Information Theory, vol. 61, pp. 1093 - 1112, 2015 arXiv:1305.1316
Presented at QIP'14 [slides]
Conference version: Achieving the Limits of the Noisy-Storage Model Using Entanglement Sampling, Proceedings of CRYPTO'13, pp. 326-343. - Short random circuits define good quantum error correcting codes
Winton Brown, Omar Fawzi
arXiv:1312.7646
Proceedings of ISIT'13, pp. 346-350.
- On simultaneous min-entropy smoothing
Lukas Drescher, Omar Fawzi
arXiv:1312.7642
Proceedings of ISIT'13, pp. 161-165.
Lukas' report
- Spectral norm of symmetric functions
Anil Ada, Omar Fawzi, Hamed Hatami
arXiv:1205.5282
Proceedings of RANDOM'12, LNCS vol. 7408, pp. 338-349. - The NOF Multiparty Communication Complexity of Composed Functions
Anil Ada, Arkadev Chattopadhyay, Omar Fawzi, Phuong Nguyen
computational complexity, pp. 1 - 50, 2014 ECCC:TR11-155
Conference version: Proceedings of the 39th International Conference on Automata, Languages and Programming (ICALP'12), LNCS vol. 7391, pp. 13-24. - Quantum to Classical Randomness Extractors
Mario Berta, Omar Fawzi, Stephanie Wehner
IEEE Transactions on Information Theory, vol. 60, pp. 1168 - 1192, 2014 arXiv:1111.2026 [slides, video of Mario's talk available here]
Conference version: Proceedings of CRYPTO'12, LNCS vol. 7417, pp. 776-793. - Classical communication over a quantum interference channel
Omar Fawzi, Patrick Hayden, Ivan Savov, Pranab Sen and Mark Wilde
IEEE Transactions on Information Theory, vol. 58, pp. 3670-3691, 2012 arXiv:1102.2624
Presented at QIP'12 as a featured talk. [video of Mark's talk available here]
Conference version: Quantum interfence channels, Proceedings of the 2011 Allerton Conference on Communication, Control, and Computing. - Longest path distance in random circuits
Nicolas Broutin and Omar Fawzi
Combinatorics, Probability and Computing, vol. 21, pp. 856-881, 2012. arXiv:1101.5547 - From Low-Distortion Norm Embeddings to Explicit Uncertainty Relations and Efficient Information Locking
Omar Fawzi, Patrick Hayden, Pranab Sen
Journal of the ACM, vol. 60, no. 6, article 44, 2013 arXiv:1010.3007
Presented at QIP'11 as a plenary talk. [slides, video available here] Conference version: Proceedings of the 43rd ACM Symposium on Theory of Computing (STOC'11), pp. 773-782. - Depth properties of scaled attachment random recursive trees
Luc Devroye, Omar Fawzi, Nicolas Fraiman
Random Structures and Algorithms, vol. 41, pp. 66-98, 2012. arXiv:1210.7168
Conference version: The height of scaled attachment random recursive trees, Proceedings of the 21st International Meeting on Probabilistic, Combinatorial, and Asymptotic Methods in the Analysis of Algorithms (AofA'10), pp. 129-142. [slides] - Simulating the Dickman distribution
Luc Devroye and Omar Fawzi
Statistics and Probability Letters, vol. 80, pp. 242-247, 2010.
Other documents
- Rate-splitting in the presence of multiple receivers
Omar Fawzi, Ivan Savov
arXiv:1207.0543, 2012
- Uncertainty relations for multiple measurements with applications
My PhD thesis (2012), on Uncertainty relations for multiple measurements with applications. It is based on the two papers listed above written with Patrick Hayden and Pranab Sen, and Mario Berta and Stephanie Wehner.
- Maximum matching in streaming models
My master's thesis (2008), on maximum matching in streaming models (in French), under the supervision of Frédéric Magniez. We give lower bounds on streaming algorithms computing approximate maximum matchings in graphs.
- Simulating perpetuities using coupling from the past
My research report of a project (2007) on simulating perpetuities using coupling from the past, under the supervision of Luc Devroye.
- Quantum coin flipping
My licence thesis (2006), on quantum coin-flipping (in French), under the supervision of Frédéric Magniez. We give a simple proof for the bias of a quantum coin-flipping protocol. The protocol is rather different than the first protocols achieving this bias of 0.25. This bias was the best known until the paper Optimal quantum strong coin flipping of André Chailloux and Iordanis Kerenidis, which is based on Mochon's constructions of weak coin-flipping protocols with arbitrarily small bias.