Closed-Form Arbitrary-Gap R'enyi Nonadditivity Above Any Positive Order via Direct Products of Free Groups and High-Girth Graphs
quant-ph
Submitted: 2026-10-05
Updated: 2026-10-05
Sources
- Explicit channels with unbounded gains in classical communication using entangled inputs
- Constructive counterexamples to the additivity of minimum output R'enyi entropy of quantum channels for all $p>1$
- Counterexamples to additivity of minimum output p-R'enyi entropy of quantum channels for all p 0
- A constructive violation of additivity of minimum output von Neumann entropy
- Almost One Bit Violation of Minimum-Output R'enyi Entropy Additivity Simultaneously at All Orders
- Superadditivity of classical communication over quantum channels via random and deterministic permutations
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