[QIP-Sem] QIP seminar, Wed 10/10, 3pm, 26-214, Graeme Smith
Peter Shor
shor at math.mit.edu
Tue Oct 9 12:07:29 EDT 2007
MIT Quantum Information Processing seminar
Wednesday 10/10 at 3pm in 26-214
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Graeme Smith (IBM)
Capacities of a quantum channel with symmetric assistance
Abstract:
In classical information theory there is a neat formula for the private capacity of a channel. This problem has two quantum analogs, the private classical capacity of a quantum channel, and the quantum capacity (necessarily private) of a quantum channel, neither of which is as nice. Indeed, these capacities are unknown for all but a handful of channels. I discuss these capacities in a scenario supplemented by a symmetric side channel, which by itself has no quantum or secret capacity. Including this extra resource results in a dramatic simplification�the capacities are additive, convex, and single letter�and gives strong upper bounds on the unassisted capacities of several channels of interest.
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