Anti-isomorphisms and the naturality of channel--state duality

arXiv:2608.13750 · math.OA, math-ph, math.MP, quant-ph · Submitted 2026-08-13 · Read on arXiv

math.OA, math-ph, math.MP, quant-ph

Submitted: 2026-08-13

Updated: 2026-09-15

Terminology

• Trace — 5× in this paper · explained in 2 episodes
• Hilbert Space — 3× in this paper · explained in 2 episodes
• Embeddings — 2× in this paper · explained in 2 episodes
• Generalization — 2× in this paper · explained in 13 episodes

Sources

• The Choi-Jamiolkowski isomorphism and covariant quantum channels

Related papers

• The Differential Structure of Generators of KMS-Symmetric Quantum Markov Semigroups
• Vertex-transitive quantum graphs
• A complete characterization of eventually entanglement breaking unital quantum channels
• Quantum channels on duals of von Neumann algebras in the Schr" o dinger picture
• Quantum Graph Theory by Example