All you need is the universal correlation detector: A unified approach to universalize communication protocols over quantum channels

arXiv:2609.29954 · quant-ph · Submitted 2026-09-24 · Read on arXiv

quant-ph

Submitted: 2026-09-24

Updated: 2026-09-24

Terminology

• Entanglement — 67× in this paper · explained in 3 episodes
• Distillation — 35× in this paper · explained in 2 episodes
• Decode — 5× in this paper · explained in 2 episodes
• Process tomography — 4× in this paper · explained in 2 episodes
• Trace — 4× in this paper · explained in 2 episodes
• Trace Distance — 4× in this paper · explained in 3 episodes
• Hilbert Space — 3× in this paper · explained in 2 episodes
• Decoupling — 2× in this paper · explained in 2 episodes
• Regularization — 2× in this paper · explained in 3 episodes
• Benchmarking — 1× in this paper · explained in 3 episodes
• Error Exponents — 1× in this paper · explained in 2 episodes
• Generalization — 1× in this paper · explained in 13 episodes
• Query Complexity — 1× in this paper · explained in 2 episodes
• Sample Complexity — 1× in this paper · explained in 15 episodes
• Unified Framework — 1× in this paper · explained in 5 episodes

Sources

• Principles of Quantum Communication Theory: A Modern Approach
• Umlaut information
• Quantum umlaut information
• Second-order coding rates for key distillation in quantum key distribution
• Universal classical-quantum channel resolvability and private channel coding
• The Converse Part of The Theorem for Quantum Hoeffding Bound
• One-Shot Private Classical Capacity of Quantum Wiretap Channel: Based on one-shot quantum covering lemma
• Quantum memory advantage for quantum process tomography
• The decoupling approach to quantum information theory
• Universally Attainable Error and Information Exponents, and Equivocation Rate for the Broadcast Channels with Confidential Messages
• Universal magic state concentration
• Universal quantum resource distillation via composite generalised quantum Stein's lemma

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