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Line 10: By analogy with the classical conditional entropy, one defines the conditional quantum entropy as <math>S(A\|B)_\rho \ \stackrel{\mathrm{def}}{=}\ S(AB)_\rho - S(B)_\rho</math>. An equivalent operational definition of the quantum conditional entropy (as a measure of the [[quantum communication]] cost or surplus when performing [[quantum state]] merging) was given by [[Michał Horodecki]], [[Jonathan Oppenheim]], and [[Andreas Winter]].<ref>{{Cite journal\|last=Horodecki\|first=Michał\|last2=Oppenheim\|first2=Jonathan\|last3=Winter\|first3=Andreas\|title=Partial quantum information\|journal=Nature\|volume=436\|issue=7051\|pages=673–676\|arxiv=quant-ph/0505062\|doi=10.1038/nature03909\|bibcode=2005Natur.436..673H\|year=2005\|pmid=16079840}}</ref> ==Properties==

Conditional quantum entropy: Difference between revisions