Transmitting algebras through quantum channels

arXiv:2609.40054 · quant-ph, math-ph, math.MP · Submitted 2026-09-30 · Read on arXiv

quant-ph, math-ph, math.MP

Submitted: 2026-09-30

Updated: 2026-09-30

Terminology

• Trace — 15× in this paper · explained in 2 episodes
• Hilbert Space — 10× in this paper · explained in 2 episodes
• Superadditivity — 5× in this paper · explained in 2 episodes
• Embeddings — 4× in this paper · explained in 2 episodes
• Entanglement — 4× in this paper · explained in 4 episodes
• Combinatorial Optimization — 1× in this paper · explained in 2 episodes
• Core — 1× in this paper · explained in 2 episodes
• Generalization — 1× in this paper · explained in 13 episodes

Sources

• Superadditivity of Zero-Error Capacity in Noisy Classical and Perfect Quantum Channel Pairs
• On the Complexity of Computing Zero-Error and Holevo Capacity of Quantum Channels
• Emulation Capacity between Idempotent Channels
• Super-Activation of Zero-Error Capacity of Noisy Quantum Channels

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