activity
20232026
most citedFirst-order optimality conditions for non-commutative optimization problems

3 citations · 3 across the 7 of their papers we have counts for

collaborators

7 papers

math.OC2026

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…

math.OC2026

The Effective Lasserre's Perturbative Positivstellensatz

Igor Klep, Victor Magron, Matthias Schötz

We study sum-of-squares (SOS) certificates for nonnegative polynomials on and their implications for polynomial optimization over unbounded domains. Building on…

quant-ph2025

Inclusion constants for free spectrahedra with applications to quantum incompatibility

Andreas Bluhm, Eric Evert, Igor Klep +2

Building on the matrix cube problem, inclusions of free spectrahedra have been used successfully to obtain relaxations of hard spectrahedral inclusion problems. The quality of such…

math.OC2025

Exploiting Term Sparsity in Symmetry-Adapted Basis for Polynomial Optimization

Igor Klep, Victor Magron, Tobias Metzlaff +1

Polynomial optimization problems are infinite-dimensional, nonconvex, NP-hard, and are often handled in practice with the moment-sums of squares hierarchy of semidefinite programmi…

quant-ph2025

Quantum Max d-Cut via qudit swap operators

Igor Klep, Tea Štrekelj, Jurij Volčič

Quantum Max Cut (QMC) problem for systems of qubits is an example of a 2-local Hamiltonian problem, and a prominent paradigm in computational complexity theory. This paper investig…

math.CO2024

Monoid algebras and graph products

Wilfried Imrich, Igor Klep, Daniel Smertnig

In this note, we extend results about unique roots and cancellation of finite disconnected graphs with respect to the Cartesian, the strong and the direct product…

quant-ph2023★ 3 cited

First-order optimality conditions for non-commutative optimization problems

Mateus Araújo, Igor Klep, Andrew J. P. Garner +2

We consider the problem of optimizing the state average of a polynomial of non-commuting variables, over all states and operators satisfying a number of polynomial constraints, and…