116 citations · 1.1k across the 72 of their papers we have counts for
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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…
Relaxations and Exact Solutions to Quantum Max Cut via the Algebraic Structure of Swap Operators
Adam Bene Watts, Anirban Chowdhury, Aidan Epperly +2
The Quantum Max Cut (QMC) problem has emerged as a test-problem for designing approximation algorithms for local Hamiltonian problems. In this paper we attack this problem using th…
Noncommutative Nullstellensätze and Perfect Games
Adam Bene Watts, John William Helton, Igor Klep
The foundations of classical Algebraic Geometry and Real Algebraic Geometry are the Nullstellensatz and Positivstellensatz. Over the last two decades the basic analogous theorems f…
Dimension-free entanglement detection in multipartite Werner states
Felix Huber, Igor Klep, Victor Magron +1
Werner states are multipartite quantum states that are invariant under the diagonal conjugate action of the unitary group. This paper gives a complete characterization of their ent…