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· 2008 · DOI 10.1007/s00220-008-0625-z

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Counterexamples to additivity of minimum output $p$-R\'enyi entropy of quantum channels for $p>3/4$ and $0\leq p<1/4$

quant-ph · 2026-07-16 · accept · novelty 7.0

For every Rényi order p<1/4 or p>3/4, some finite-dimensional quantum channels have non-additive minimum output p-Rényi entropy.

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Counterexamples to additivity of minimum output $p$-R\'enyi entropy of quantum channels for $p>3/4$ and $0\leq p<1/4$ quant-ph · 2026-07-16 · accept · none · ref 10
For every Rényi order p<1/4 or p>3/4, some finite-dimensional quantum channels have non-additive minimum output p-Rényi entropy.

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