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
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
Related papers
- Reconquering Bell sampling on qudits: stabilizer learning and testing, quantum pseudorandomness bounds, and more
- Encrypted clones can leak: Classification of informative subsets in Quantum Encrypted Cloning
- Polynomial-time classical and quantum simulation of quantum impurity models
- Theory of quantum-enhanced interferometry with general Markovian light sources
- A convergent hierarchy of spectral gap certificates for qubit Hamiltonians
- Universal Bound and Phase Transition in Many-Body Fermionic Non-Gaussianity