5 citations · 6 across the 6 of their papers we have counts for
6 papers
Quantitative semidefinite certificates for ground-state energies of Pauli Hamiltonians
Igor Klep, Nando Leijenhorst, Victor Magron
The -local Hamiltonian problem is a central model for quantum many-body systems and Hamiltonian complexity. Semidefinite programming and noncommutative sum-of-squares hierarchie…
Robust self-testing with CHSH mod 3
Igor Klep, Nando Leijenhorst, Victor Magron
The CHSH mod 3 Bell inequality is a natural testbed for higher-dimensional quantum nonlocality, yet its maximal quantum violation and self-testing properties have remained unresolv…
Optimality and uniqueness of the root system
David de Laat, Nando M. Leijenhorst, Willem H. H. de Muinck Keizer
We prove that the root system (the set of vertices of the regular -cell) is the unique optimal kissing configuration in , and is an optimal spherical code. F…
Optimality of spherical codes via exact semidefinite programming bounds
Henry Cohn, David de Laat, Nando Leijenhorst
We show that the spectral embeddings of all known triangle-free strongly regular graphs are optimal spherical codes (the new cases are points in dimensions, points i…
Multiplicity of nontrivial zeros of primitive L-functions via higher-level correlations
Felipe Gonçalves, David de Laat, Nando Leijenhorst
We give universal bounds on the fraction of nontrivial zeros having given multiplicity for L-functions attached to a cuspidal automorphic representation of $\mathrm{GL}_m/\mathbb{Q…
Solving clustered low-rank semidefinite programs arising from polynomial optimization
Nando Leijenhorst, David de Laat
We study a primal-dual interior point method specialized to clustered low-rank semidefinite programs requiring high precision numerics, which arise from certain multivariate polyno…