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UID:www.tcs.tifr.res.in/event/226
DTSTAMP:20230914T125915Z
SUMMARY:On Some Special Cases of the Entropy Photon-Number Inequality
DESCRIPTION:Speaker: Naresh Sharma\n\nAbstract: \nOne of the aims of infor
mation theory is to find out the capacity of noisy channels defined as the
ultimate limit on communication rates. If an optical communication link i
s modeled quantum mechanically\, then the task of finding the capacity (fo
r sending classical data) relies on certain minimum output entropy conject
ure which in turn is implied by the entropy photon number inequality (EPnI
) conjecture. It has been a longstanding problem in quantum information th
eory to resolve these conjectures. We show that the EPnI holds where one o
f the input states is the vacuum state and for several candidates of the o
ther input state that includes the cases when the state has the eigenvecto
rs as the number states and either has only two non-zero eigenvalues or ha
s arbitrary number of non-zero eigenvalues but is a high entropy state. We
also discuss the conditions\, which if satisfied\, would lead to an exten
sion of these results (joint work with Smarajit Das and Siddharth Muthukri
shnan).\n
URL:https://www.tcs.tifr.res.in/web/events/226
DTSTART;TZID=Asia/Kolkata:20111130T160000
DTEND;TZID=Asia/Kolkata:20111130T170000
LOCATION:A-212 (STCS Seminar Room)
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