2025/03/21 by Zachary P. Bradshaw, Margarite L. LaBorde, Bradshaw, Zachary P. +1
Physics and Astronomy · Computer Science · #Quantum Mechanics and Applications #Noncommutative and Quantum Gravity Theories #Quantum Information and Cryptography
paper · pdf · doi:10.48550/arxiv.2503.17525
Neven et al. have explored an unexpected alliance between the mathematical insights of Sir Isaac Newton and René Descartes which culminates in the reduction of the Positive Partial Transpose (PPT) criterion to an equivalent hierarchy of entanglement tests based on the moments of the partial transpose. By repurposing these classical results in the context of modern quantum theory, they illuminate new pathways for entanglement verification. Here, we expand on this work by providing a closed form for the inequalities defining these entanglement tests and producing an equivalent set of graph theoretic conditions on the weighted graph induced by the partial transpose.