Remarks on the Equivalence of Full Additivity and Monotonicity for the Entanglement Cost. - Fernando G. S. L. Brandão; Michal Horodecki; Martin B. Plenio; Shashank Virmani (Open Syst. Inf. Dyn., 2007)

On Hastings' Counterexamples to the Minimum Output Entropy Additivity Conjecture. - Fernando G. S. L. Brandão; Michal Horodecki (Open Syst. Inf. Dyn., 2010)

A quasipolynomial-time algorithm for the quantum separability problem. - Fernando G. S. L. Brandão; Matthias Christandl; Jon Yard (STOC, 2011)

One-Shot Rates for Entanglement Manipulation Under Non-entangling Maps. - Fernando G. S. L. Brandão; Nilanjana Datta (IEEE Trans. Inf. Theory, 2011)

Hypercontractivity, sum-of-squares proofs, and their applications. - Boaz Barak; Fernando G. S. L. Brandão; Aram W. Harrow; Jonathan A. Kelner; David Steurer; Yuan Zhou 007 (STOC, 2012)

Quantum de finetti theorems under local measurements with applications. - Fernando G. S. L. Brandão; Aram W. Harrow (STOC, 2013)

Product-state approximations to quantum ground states. - Fernando G. S. L. Brandão; Aram W. Harrow (STOC, 2013)

The second laws of quantum thermodynamics - Fernando G. S. L. Brandão; Michal Horodecki; Nelly Huei Ying Ng; Jonathan Oppenheim; Stephanie Wehner (CoRR, 2013)

Exponential quantum speed-ups are generic. - Fernando G. S. L. Brandão; Michal Horodecki (Quantum Inf. Comput., 2013)

Entanglement distillation by extendible maps. - Lukasz Pankowski; Fernando G. S. L. Brandão; Michal Horodecki; Graeme Smith 002 (Quantum Inf. Comput., 2013)

Entanglement Cost of Quantum Channels. - Mario Berta; Fernando G. S. L. Brandão; Matthias Christandl; Stephanie Wehner (IEEE Trans. Inf. Theory, 2013)

Public Quantum Communication and Superactivation. - Fernando G. S. L. Brandão; Jonathan Oppenheim (IEEE Trans. Inf. Theory, 2013)

A Smooth Entropy Approach to Quantum Hypothesis Testing and the Classical Capacity of Quantum Channels. - Nilanjana Datta; Milán Mosonyi; Min-Hsiu Hsieh; Fernando G. S. L. Brandão (IEEE Trans. Inf. Theory, 2013)

Area law for fixed points of rapidly mixing dissipative quantum systems. - Fernando G. S. L. Brandão; Toby S. Cubitt; Angelo Lucia; Spyridon Michalakis; David Pérez-García (CoRR, 2015)

Estimating operator norms using covering nets. - Fernando G. S. L. Brandão; Aram W. Harrow (CoRR, 2015)

Deconstruction and conditional erasure of quantum correlations. - Mario Berta; Fernando G. S. L. Brandão; Christian Majenz; Mark M. Wilde (CoRR, 2016)

Quantum Speed-ups for Semidefinite Programming. - Fernando G. S. L. Brandão; Krysta M. Svore (CoRR, 2016)

Quantum Speed-Ups for Solving Semidefinite Programs. - Fernando G. S. L. Brandão; Krysta M. Svore (FOCS, 2017)

On Composite Quantum Hypothesis Testing. - Mario Berta; Fernando G. S. L. Brandão; Christoph Hirche (CoRR, 2017)

Exponential Quantum Speed-ups for Semidefinite Programming with Applications to Quantum Learning. - Fernando G. S. L. Brandão; Amir Kalev; Tongyang Li; Cedric Yen-Yu Lin; Krysta M. Svore; Xiaodi Wu 001 (CoRR, 2017)

Amplifying the Randomness of Weak Sources Correlated With Devices. - Hanna Wojewódka; Fernando G. S. L. Brandão; Andrzej Grudka; Karol Horodecki; Michal Horodecki; Pawel Horodecki; Marcin Pawlowski 002; Ravishankar Ramanathan; Maciej Stankiewicz (IEEE Trans. Inf. Theory, 2017)

Conditional Decoupling of Quantum Information. - Mario Berta; Fernando G. S. L. Brandão; Christian Majenz; Mark M. Wilde (CoRR, 2018)

Quantum SDP Solvers: Large Speed-Ups, Optimality, and Applications to Quantum Learning. - Fernando G. S. L. Brandão; Amir Kalev; Tongyang Li; Cedric Yen-Yu Lin; Krysta M. Svore; Xiaodi Wu 001 (ICALP, 2019)

Locally accurate MPS approximations for ground states of one-dimensional gapped local Hamiltonians. - Alexander M. Dalzell; Fernando G. S. L. Brandão (Quantum, 2019)

Efficient classical simulation of random shallow 2D quantum circuits. - John Napp; Rolando L. La Placa; Alexander M. Dalzell; Fernando G. S. L. Brandão; Aram W. Harrow (CoRR, 2020)

Adversarial Hypothesis Testing and a Quantum Stein's Lemma for Restricted Measurements. - Fernando G. S. L. Brandão; Aram W. Harrow; James R. Lee; Yuval Peres (IEEE Trans. Inf. Theory, 2020)

Fast and Robust Quantum State Tomography from Few Basis Measurements. - Daniel Stilck França; Fernando G. S. L. Brandão; Richard Kueng (TQC, 2021)

The Pursuit of Uniqueness: Extending Valiant-Vazirani Theorem to the Probabilistic and Quantum Settings. - Dorit Aharonov; Michael Ben-Or; Fernando G. S. L. Brandão; Or Sattath (Quantum, 2022)

Faster quantum and classical SDP approximations for quadratic binary optimization. - Fernando G. S. L. Brandão; Richard Kueng; Daniel Stilck França (Quantum, 2022)

Mind the Gap: Achieving a Super-Grover Quantum Speedup by Jumping to the End. - Alexander M. Dalzell; Nicola Pancotti; Earl T. Campbell; Fernando G. S. L. Brandão (STOC, 2023)

On a gap in the proof of the generalised quantum Stein's lemma and its consequences for the reversibility of quantum resources. - Mario Berta; Fernando G. S. L. Brandão; Gilad Gour; Ludovico Lami; Martin B. Plenio; Bartosz Regula; Marco Tomamichel (Quantum, 2023)

Efficient Unitary Designs from Random Sums and Permutations. - Chi-Fang Chen; Jordan Docter; Michelle Xu; Adam Bouland; Fernando G. S. L. Brandão; Patrick Hayden (FOCS, 2024)

Efficient unitary designs and pseudorandom unitaries from permutations. - Chi-Fang Chen; Adam Bouland; Fernando G. S. L. Brandão; Jordan Docter; Patrick Hayden; Michelle Xu (CoRR, 2024)