Quantum Information Processing

, Volume 6, Issue 3, pp 179–186 | Cite as

Simplification of Additivity Conjecture in Quantum Information Theory

  • Motohisa Fukuda

We simplify some conjectures in quantum information theory; the additivity of minimal output entropy, the multiplicativity of maximal output p-norm and the superadditivity of convex closure of output entropy. In this paper, by using some unital extension of quantum channels, we show that proving one of these conjectures for all unital quantum channels would imply that it is also true for all quantum channels.


quantum channel unital quantum channel additivity multiplicativity 

PACS Numbers

03.67.-a 03.67.Hk 


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Copyright information

© Springer Science+Business Media, LLC 2007

Authors and Affiliations

  1. 1.Statistical Laboratory, Centre for Mathematical SciencesUniversity of CambridgeCambridgeUK

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