output
20072022
most citedBreaking Symmetric Cryptosystems using Quantum Period Finding

341 citations

18 papers

astro-ph.CO2022★ 19 cited

Optimal Transport Reconstruction of Baryon Acoustic Oscillations

Farnik Nikakhtar, Ravi K. Sheth, Bruno Lévy +1

A weighted, semi-discrete, fast optimal transport (OT) algorithm for reconstructing the Lagrangian positions of proto-halos from their evolved Eulerian positions is presented. The…

math.NA2020★ 6 cited

Multiple projection MCMC algorithms on submanifolds

Tony Lelièvre, Gabriel Stoltz, Wei Zhang

We propose new Markov Chain Monte Carlo algorithms to sample probability distributions on submanifolds, which generalize previous methods by allowing the use of set-valued maps in…

quant-ph2020★ 142 cited

Towards Scalable Bosonic Quantum Error Correction

Barbara M. Terhal, Jonathan Conrad, Christophe Vuillot

We review some of the recent efforts in devising and engineering bosonic qubits for superconducting devices, with emphasis on the Gottesman-Kitaev-Preskill (GKP) qubit. We present…

cs.NI2020★ 1 cited

The Challenges of Trace-Driven Wi-Fi Emulation

Mohammad Imran Syed, Renata Teixeira, Sara Ayoubi +1

Wi-Fi link is unpredictable and it has never been easy to measure it perfectly; there is always bound to be some bias. As wireless becomes the medium of choice, it is useful to cap…

quant-ph2020★ 18 cited

Approximate tensorization of the relative entropy for noncommuting conditional expectations

Ivan Bardet, Angela Capel, Cambyse Rouzé

In this paper, we derive a new generalisation of the strong subadditivity of the entropy to the setting of general conditional expectations onto arbitrary finite-dimensional von Ne…

math.NA2019★ 1 cited

Guaranteed and robust -norm a posteriori error estimates for 1D linear advection problems

Alexandre Ern, Martin Vohralík, Mohammad Zakerzadeh

We propose a reconstruction-based a posteriori error estimate for linear advection problems in one space dimension. In our framework, a stable variational ultra-weak formulation is…

q-bio.NC2018★ 32 cited

Disrupted core-periphery structure of multimodal brain networks in Alzheimer's Disease

Jeremy Guillon, Mario Chavez, Federico Battiston +7

In Alzheimer's disease (AD), the progressive atrophy leads to aberrant network reconfigurations both at structural and functional levels. In such network reorganization, the core a…

cs.PL2018★ 60 cited

Journey Beyond Full Abstraction: Exploring Robust Property Preservation for Secure Compilation

Carmine Abate, Roberto Blanco, Deepak Garg +3

(CROPPED TO FIT IN ARXIV'S SILLY LIMIT. SEE PDF FOR COMPLETE ABSTRACT.) We are the first to thoroughly explore a large space of formal secure compilation criteria based on robust p…

cs.DM2018★ 4 cited

Certificates in P and Subquadratic-Time Computation of Radius, Diameter, and all Eccentricities in Graphs

Feodor F. Dragan, Guillaume Ducoffe, Michel Habib +1

In the context of fine-grained complexity, we investigate the notion of certificate enabling faster polynomial-time algorithms. We specifically target radius (minimum eccentricity)…

cs.CR2018★ 10 cited

When Good Components Go Bad: Formally Secure Compilation Despite Dynamic Compromise

Carmine Abate, Arthur Azevedo de Amorim, Roberto Blanco +8

We propose a new formal criterion for evaluating secure compilation schemes for unsafe languages, expressing end-to-end security guarantees for software components that may become…

cs.PL2017

FabULous Interoperability for ML and a Linear Language

Gabriel Scherer, Max New, Nick Rioux +1

Instead of a monolithic programming language trying to cover all features of interest, some programming systems are designed by combining together simpler languages that cooperate…

math.PR2017

Stationary analysis of the shortest queue problem

Plinio S. Dester, Christine Fricker, Danielle Tibi

A simple analytical solution is proposed for the stationary loss system of two parallel queues with finite capacity , in which new customers join the shortest queue, or one of t…

stat.ML2016★ 13 cited

PAC-Bayesian Theory Meets Bayesian Inference

Pascal Germain, Francis Bach, Alexandre Lacoste +1

We exhibit a strong link between frequentist PAC-Bayesian risk bounds and the Bayesian marginal likelihood. That is, for the negative log-likelihood loss function, we show that the…

quant-ph2016★ 341 cited

Breaking Symmetric Cryptosystems using Quantum Period Finding

Marc Kaplan, Gaëtan Leurent, Anthony Leverrier +1

Due to Shor's algorithm, quantum computers are a severe threat for public key cryptography. This motivated the cryptographic community to search for quantum-safe solutions. On the…

quant-ph2015★ 147 cited

A largely self-contained and complete security proof for quantum key distribution

Marco Tomamichel, Anthony Leverrier

In this work we present a security analysis for quantum key distribution, establishing a rigorous tradeoff between various protocol and security parameters for a class of entanglem…

cs.SC2014★ 13 cited

On the complexity of computing Gröbner bases for weighted homogeneous systems

Jean-Charles Faugère, Mohab Safey El Din, Thibaut Verron

Solving polynomial systems arising from applications is frequently made easier by the structure of the systems. Weighted homogeneity (or quasi-homogeneity) is one example of such a…

math.NA2014★ 15 cited

Nonoverlapping domain decomposition preconditioners for discontinuous Galerkin approximations of Hamilton--Jacobi--Bellman equations

Iain Smears

We analyse a class of nonoverlapping domain decomposition preconditioners for nonsymmetric linear systems arising from discontinuous Galerkin finite element approximation of fully…

math.AP2007

Controllability of the heat and wave equations and their finite difference approximations by the shape of the domain

Jonathan Touboul

In this article we study a controllability problem for a parabolic and a hyperbolic partial differential equations in which the control is the shape of the domain where the equatio…