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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…