On the separability of Bell-diagonal states with absolutely positive partial transposition

arXiv:2610.12000 · quant-ph · Submitted 2026-10-08 · Read on arXiv

quant-ph

Submitted: 2026-10-08

Updated: 2026-10-08

Code: https://github.com/ayanpatraphys/Supplemental-M

Terminology

• Entanglement — 9× in this paper · explained in 3 episodes
• Affine Group — 3× in this paper · explained in 1 episode
• Verification — 1× in this paper · explained in 2 episodes

Sources

• On the role of entanglement in quantum computational speed-up
• Strong NP-Hardness of the Quantum Separability Problem
• Separability from Spectrum for Qubit-Qudit States
• Is absolute separability determined by the partial transpose?
• Sufficient criteria for absolute separability in arbitrary dimensions via linear map inverses
• On the extreme points of sets of absolulely separable and PPT states
• The geometry of absolute separability and other convex matrix properties from spectrum
• All Teleportation and Dense Coding Schemes
• Non-binary Unitary Error Bases and Quantum Codes
• Stabilizer Codes and Quantum Error Correction
• Entanglement witnesses for a class of bipartite states of n x n qubits
• Spectral Optimization for Absolutely PPT States: Purity, Entropy, and Volume Decay

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