A Generalized Stein Lemma for Quantum Channels

arXiv:2609.30762 · quant-ph · Submitted 2026-09-25 · Read on arXiv

quant-ph

Submitted: 2026-09-25

Updated: 2026-09-25

Comments: 43 pages

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Trace — 71× in this paper · explained in 2 episodes
• Accuracy — 13× in this paper · explained in 1 episode
• Entanglement — 11× in this paper · explained in 3 episodes
• Axioms — 5× in this paper · explained in 2 episodes
• Benchmark — 4× in this paper · explained in 2 episodes
• Regularization — 3× in this paper · explained in 3 episodes
• Additivity — 2× in this paper · explained in 1 episode
• Error Exponents — 2× in this paper · explained in 2 episodes
• Hilbert Space — 2× in this paper · explained in 2 episodes
• Verification — 2× in this paper · explained in 2 episodes
• Approximation Bound — 1× in this paper · explained in 1 episode
• Core — 1× in this paper · explained in 2 episodes
• Generalization — 1× in this paper · explained in 13 episodes
• Gibbs State — 1× in this paper · explained in 2 episodes
• Semidefinite Program (SDP) — 1× in this paper · explained in 2 episodes

Sources

• Strong Converse and Stein's Lemma in the Quantum Hypothesis Testing
• Quantum Channel Stein's Lemma with an Exponential Strong Converse
• Composite Classical and Quantum Channel Discrimination
• Generalized Quantum Stein's Lemma for Classical-Quantum Dynamical Resources
• Generalized Quantum Stein's Lemma and Reversibility of Quantum Resource Theories for Classical-Quantum Channels
• General Entanglement Breaking Channels

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