Separable decompositions of 2xn states with operator Schmidt rank three

arXiv:2609.39669 · quant-ph · Submitted 2026-09-30 · Read on arXiv

quant-ph

Submitted: 2026-09-30

Updated: 2026-09-30

Code: https://github.com/vantalon/osr3_separability

Terminology

• Hilbert Space — 10× in this paper · explained in 2 episodes
• Entanglement — 9× in this paper · explained in 4 episodes
• Trace — 9× in this paper · explained in 2 episodes
• Steering — 7× in this paper · explained in 2 episodes
• Embeddings — 2× in this paper · explained in 2 episodes
• Generalization — 1× in this paper · explained in 13 episodes

Sources

• Does Symmetry Imply PPT Property?
• Separable Decompositions of Bipartite Mixed States

Related papers

• Reconquering Bell sampling on qudits: stabilizer learning and testing, quantum pseudorandomness bounds, and more
• Encrypted clones can leak: Classification of informative subsets in Quantum Encrypted Cloning
• Polynomial-time classical and quantum simulation of quantum impurity models
• Theory of quantum-enhanced interferometry with general Markovian light sources
• A convergent hierarchy of spectral gap certificates for qubit Hamiltonians
• Universal Bound and Phase Transition in Many-Body Fermionic Non-Gaussianity