Local extrema of entropy functions under tensor products
classification
🧮 math-ph
math.MPquant-ph
keywords
entropylocalunderfunctionsproductstensoradditivecertain
read the original abstract
We show that under a certain condition of local commutativity the minimum von-Neumann entropy output of a quantum channel is locally additive. We also show that local minima of the 2-norm entropy functions are closed under tensor products if one of the subspaces has dimension 2.
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