A sharp norm inequality for entanglement-breaking channels

arXiv:2609.27906 · quant-ph, math-ph, math.MP, math.OA · Submitted 2026-08-21 · Read on arXiv

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

Submitted: 2026-08-21

Updated: 2026-08-21

Terminology

• Entanglement — 20× in this paper · explained in 4 episodes
• Trace — 3× in this paper · explained in 2 episodes
• Consistency — 1× in this paper · explained in 3 episodes
• Verification — 1× in this paper · explained in 2 episodes

Sources

• General Entanglement Breaking Channels
• Qubit Entanglement Breaking Channels
• Entanglement-Breaking Indices
• An Analysis of Completely-Positive Trace-Preserving Maps on 2x2 Matrices
• Eventually Entanglement Breaking Maps
• When Do Composed Maps Become Entanglement Breaking?
• Every PPT channel has finite entanglement-breaking index
• Unifying several separability conditions using the covariance matrix criterion
• Entanglement detection beyond the cross-norm or realignment criterion

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