A constructive violation of additivity of minimum output von Neumann entropy
quant-ph, math-ph, math.MP
Submitted: 2026-09-20
Updated: 2026-09-24
Comments: 22 pages; v2 added Theorem 1.3/Appendix B on extension to large entropy gap and p\ge p_0>0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Terminology
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 $p>1$
- More examples of additivity violation of the regularized minimum output entropy in the commuting-operator setup
- Counterexamples to additivity of minimum output p-R'enyi entropy of quantum channels for all p 0
- Superadditivity of classical communication over quantum channels via random and deterministic permutations
- Strong convergence of unitary and permutation representations of discrete groups
- Explicit near-fully X-Ramanujan graphs
- Unbounded Holevo additivity gaps in finite dimensions
- Almost One Bit Violation of Minimum-Output R'enyi Entropy Additivity Simultaneously at All Orders
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