57 citations · 86 across the 7 of their papers we have counts for
7 papers
(2,2)-GB Codes: Classification and Comparison with weight-4 Surface Codes
François Arnault, Philippe Gaborit, Nicolas Saussay
Generalized Bicycle (GB) codes offer a compelling alternative to surface codes for quantum error correction. This paper focuses on (2,2)-Generalized Bicycle codes, constructed from…
A Variant of the Bravyi-Terhal Bound for Arbitrary Boundary Conditions
François Arnault, Philippe Gaborit, Wouter Rozendaal +2
We present a modified version of the Bravyi-Terhal bound that applies to quantum codes defined by local parity-check constraints on a -dimensional lattice quotient. Specifically…
Quantum entanglement from random measurements
Minh Cong Tran, Borivoje Dakic, Francois Arnault +2
We show that the expectation value of squared correlations measured along random local directions is an identifier of quantum entanglement in pure states which can be directly expe…
A qutrit Quantum Key Distribution protocol with better noise resistance
François Arnault, Zoé Amblard
The Ekert quantum key distribution protocol uses pairs of entangled qubits and performs checks based on a Bell inequality to detect eavesdropping. The 3DEB protocol uses instead pa…
A complete set of multidimensional Bell inequalities
François Arnault
We give a multidimensional generalisation of the complete set of Bell-correlation inequalities given by Werner and Wolf, and by Zukowski and Brukner, for the two-dimensional case.…
Construction of self-dual normal bases and their complexity
François Arnault, Erik Jarl Pickett, Stéphane Vinatier
Recent work of Pickett has given a construction of self-dual normal bases for extensions of finite fields, whenever they exist. In this article we present these results in an expli…
Revisiting LFSMs
François Arnault, Thierry Berger, Marine Minier +1
Linear Finite State Machines (LFSMs) are particular primitives widely used in information theory, coding theory and cryptography. Among those linear automata, a particular case of…