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→ L (A)is CP,Λ : L(B1 ⊗B 2) → L (E)is CPTP, andΦ B′ 1B1 d andΦ B′ 2B2 d are normalized maximally entangled states of dimensiond

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quant-ph 1

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2026 1

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Additivity Results for the R\'enyi-2 Entanglement of Purification

quant-ph · 2026-05-14 · unverdicted · novelty 6.0

Proves that υ₂(Ω) is multiplicative for CP maps satisfying N† ∘ N = a id + b Tr[·]I, including depolarizing and transpose-depolarizing channels, implying additivity of Rényi-2 entanglement of purification.

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  • Additivity Results for the R\'enyi-2 Entanglement of Purification quant-ph · 2026-05-14 · unverdicted · none · ref 2

    Proves that υ₂(Ω) is multiplicative for CP maps satisfying N† ∘ N = a id + b Tr[·]I, including depolarizing and transpose-depolarizing channels, implying additivity of Rényi-2 entanglement of purification.