4 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…
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…