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Computing key rates in quantum key distribution (QKD) numerically is essential to unlock more powerful protocols, that use more sophisticated measurement bases or quantum systems of higher dimension.
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Yu.. Nesterov and M.. Todd · 1997
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“Optimal Eavesdropping in Quantum Cryptography with Six States”
Dagmar Bru · 1998
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“Infeasible-start primal-dual methods and infeasibility detectors for nonlinear programming problems”
Y. Nesterov, M.J. Todd and Y. Ye · 1999
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“Generalization of Primal-Dual Interior-Point Methods to Convex Optimization Problems in Conic Form”
Levent Tunçel · 2001
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“Quantum cryptography”
Nicolas Gisin, Gr\’egoire Ribordy, Wolfgang Tittel and Hugo Zbinden · 2002
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“Security of Quantum Key Distribution Using d d -Level Systems”
Nicolas. Cerf, Mohamed Bourennane, Anders Karlsson and Nicolas Gisin · 2002
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“Distillation of secret key and entanglement from quantum states”
Igor Devetak and Andreas Winter · 2004
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“YALMIP: a toolbox for modeling and optimization in MATLAB” https://yalmip.github.io/
J. Löfberg · 2004
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“MPFR: A multiple-precision binary floating-point library with correct rounding”
Laurent Fousse et al · 2007
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“The security of practical quantum key distribution”
Valerio Scarani et al · 2009
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“Security proof for quantum key distribution using qudit systems”
Lana Sheridan and Valerio Scarani · 2010
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“Towards non-symmetric conic optimization”
Yurii Nesterov · 2011
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“Unification of different views of decoherence and discord”
Patrick. Coles · 2012
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“Quantum cryptography: Public key distribution and coin tossing” (reprint)
Charles. Bennett and Gilles Brassard · 2014
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“A homogeneous interior-point algorithm for nonsymmetric convex conic optimization”
Anders Skajaa and Yinyu Ye · 2015
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“On “A Homogeneous Interior-Point Algorithm for Non-Symmetric Convex Conic Optimization””, 2017
Dávid Papp and Sercan Yıldız · 2017
Cited alongside, same era.
“The Many Faces of Degeneracy in Conic Optimization”
Dmitriy Drusvyatskiy and Henry Wolkowicz · 2017
Cited alongside, same era.
“Julia: A fresh approach to numerical computing”
Jeff Bezanson, Alan Edelman, Stefan Karpinski and Viral Shah · 2017
Cited alongside, same era.
“Reliable numerical key rates for quantum key distribution”
Adam Winick, Norbert Lütkenhaus and Patrick. Coles · 2018
Cited alongside, same era.
“Lectures on Convex Optimization”
Yurii Nesterov · 2018
Cited alongside, same era.
“Asymptotic Security Analysis of Discrete-Modulated Continuous-Variable Quantum Key Distribution”
Jie Lin, Twesh Upadhyaya and Norbert Lütkenhaus · 2019
“Performance enhancements for a generic conic interior point algorithm”
Chris Coey, Lea Kapelevich and Juan Vielma · 2023
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“JuMP 1.0: Recent improvements to a modeling language for mathematical optimization”
Miles Lubin et al · 2023
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“Optimal Self-Concordant Barriers for Quantum Relative Entropies”
Hamza Fawzi and James Saunderson · 2023
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“Distribution of genuine high-dimensional entanglement over 10.2 km of noisy metropolitan atmosphere”
Lukas Bulla et al · 2023
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“The MOSEK Optimization Suite 10.1.11” https://docs.mosek.com/latest/intro/index.html , 2023
MOSEK ApS · 2023
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“Hypatia cones reference”, 2024
Chris Coey, Lea Kapelevich and Juan Vielma · 2024
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“Secure quantum key distribution with realistic devices”
Feihu Xu et al · 2020
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“Advances in quantum cryptography”
S. Pirandola et al · 2020
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“Entropy accumulation”
Frederic Dupuis, Omar Fawzi and Renato Renner · 2020
Cited alongside, same era.
“Robust Interior Point Method for Quantum Key Distribution Rate Computation”
Hao Hu et al · 2022
Cited alongside, same era.
“Solving natural conic formulations with Hypatia.jl”
Chris Coey, Lea Kapelevich and Juan Vielma · 2022
Cited alongside, same era.
“Long-step path-following algorithm for quantum information theory: Some numerical aspects and applications”
Leonid Faybusovich and Cunlu Zhou · 2022
Cited alongside, same era.
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“Efficient Implementation of Interior-Point Methods for Quantum Relative Entropy”
Mehdi Karimi and Levent Tunçel · 2024
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Ohad Lib et al · 2024
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Ignatius Primaatmaja, Wen Kon and Charles Lim · 2024
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Amir Arqand, Thomas Hahn and Ernest Y-Z Tan · 2024
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“Improved finite-size key rates for discrete-modulated continuous variable quantum key distribution under coherent attacks”
Carlos Pascual-García et al · 2025
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