Universal quantum coding

arXiv:2609.38038 · quant-ph · Submitted 2026-09-29 · Read on arXiv

quant-ph

Submitted: 2026-09-29

Updated: 2026-09-29

Terminology

• Entanglement — 70× in this paper · explained in 4 episodes
• Distillation — 64× in this paper · explained in 2 episodes
• Entanglement Distillation — 28× in this paper · explained in 2 episodes
• Trace — 20× in this paper · explained in 2 episodes
• Hilbert Space — 13× in this paper · explained in 2 episodes
• Fidelity — 11× in this paper · explained in 2 episodes
• Sample Complexity — 8× in this paper · explained in 15 episodes
• Decoupling — 7× in this paper · explained in 2 episodes
• Benchmark — 5× in this paper · explained in 2 episodes
• Generalization — 3× in this paper · explained in 13 episodes
• Quantum Circuits — 2× in this paper · explained in 2 episodes
• Accuracy — 1× in this paper · explained in 1 episode
• Additivity — 1× in this paper · explained in 1 episode
• Error Exponents — 1× in this paper · explained in 2 episodes
• Regularization — 1× in this paper · explained in 3 episodes
• Trace Distance — 1× in this paper · explained in 3 episodes
• Unified Framework — 1× in this paper · explained in 5 episodes

Sources

• The capacity of the noisy quantum channel
• The private classical capacity and quantum capacity of a quantum channel
• A decoupling approach to the quantum capacity
• Universal quantum state merging
• Entanglement transmission and generation under channel uncertainty: Universal quantum channel coding
• Resource cost results for one-way entanglement distillation and state merging of compound and arbitrarily varying quantum sources
• Applications of coherent classical communication and the Schur transform to quantum information theory
• Reversing quantum dynamics with near-optimal quantum and classical fidelity
• Relating different quantum generalizations of the conditional Renyi entropy
• Distillation of entanglement by projection on permutationally invariant subspaces
• Universal classical-quantum channel resolvability and private channel coding
• Decoding quantum information via the Petz recovery map
• A Fully Quantum Asymptotic Equipartition Property
• A Hierarchy of Information Quantities for Finite Block Length Analysis of Quantum Tasks
• Second-order asymptotics for quantum hypothesis testing
• Tight any-shot quantum decoupling
• Finite-Blocklength and Exponential Analyses for Universal Entanglement and Coherence Distillation under Various Free Operations
• Universal quantum resource distillation via composite generalised quantum Stein's lemma
• Sample-optimal tomography of quantum states
• Efficient quantum tomography

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