Strong superadditivity of the entanglement of formation follows from its additivity

2003/05/09 by Andrei Pomeransky, A. A. Pomeransky · 3 citations
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #quant-ph

paper · pdf · doi:10.1103/physreva.68.032317

published as Phys. Rev. A 68, 032317 (2003) · revtex, 7 pages, research at Quantware MIPS Center http://www.quantware.ups-tlse.fr

arxiv created 2003/05/09 · openalex publication_date 2003/09/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The additivity of both the entanglement of formation and the classical channel capacity is known to be a consequence of the strong superadditivity conjecture. We show that, conversely, the strong superadditivity conjecture follows from the additivity of the entanglement of formation; this means that the two conjectures are equivalent and that the additivity of the classical channel capacity is a consequence of them.

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