Bonn 2025 – wissenschaftliches Programm
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QI: Fachverband Quanteninformation
QI 5: Quantum Entanglement I
QI 5.2: Vortrag
Montag, 10. März 2025, 17:30–17:45, HS IX
Ket.jl: Toolbox for quantum information, nonlocality, and entanglement — Mateus Araújo1, Peter Brown2, Sébastien Designolle3, •Carlos de Gois4, and Lucas Porto5 — 1Universidad de Valladolid — 2Télécom Paris — 3Zuse-Institut Berlin — 4Universität Siegen — 5Universidade Estadual de Campinas
Ket.jl is a versatile toolbox for doing quantum information in the Julia programming language. This contribution will offer a brief, hands-on introduction to its capabilities. Key features to be discussed include parallelized algorithms for computing local bounds of Bell inequalities, a generic see-saw method for maximizing the quantum value of any Bell functional, and tools for computing the incompatibility robustness of quantum measurements. For entanglement theory, the library offers, among others, methods for computing the entanglement entropy and the Schmidt number of quantum states, and to construct witnesses for genuine multipartite entanglement -- all of which leverage an implementation of the symmetric extensions hierarchy.
Notably, Ket.jl provides flexible implementations for subsystem permutation, partial trace and partial transpose, designed to work with abstract data types. This flexibility enables integration with JuMP for formulating optimization programs. Additional features include utilities for generating random operators, computing norms and entropies, and constructing mutually unbiased bases and symmetric informationally complete POVMs with arbitrary precision.
Keywords: quantum information; julia; entanglement; nonlocality; measurements