Beth Ruskai will be giving a seminar on Monday, Nov. 21 at 4pm.
Details follow.
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Speaker: Mary Beth Ruskai
Room: 6C-442 at MIT.
Title: Using local additivity to find examples of
superadditivity of quantum channels.
Abstract: The local additivity of minimal output entropy
can be extended to local additivity of maximal
relative entropy with respect to a fixed
reference state. This can be exploited to test
channels for superadditivity of Holevo capacity
with numerical effort comparable to searching for the
minimal output entropy. Local maxima which do not
arise from product inputs play a key role. Moreover,
evidence of superadditivity can be found even if
the additivity violation itself is too small to be
seen numerically.
This talk will be divided into two parts. First we
sketch the Gour-Friedland proof of local additivity
with several significant simplifications.
Second, we describe a program to test 3-state qubit
channels for superadditivity of the Holevo capacity.
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