>VITAE:
Jeffrey H. Shapiro Director - Julius A. Stratton Professor of Electrical
Engineering
- Professor Jeffrey H. Shapiro is Director of the Research Laboratory
of Electronics (RLE) at the Massachusetts Institute of Technology (MIT).
- Dr. Shapiro's research interests have centered on the application of
communication theory to optical systems. He is best known for his work
on the generation, detection, and application of squeezed-state light
beams, but he has also published extensively in the areas of atmospheric
optical communication, coherent laser radar, and quantum information science.
- Dr. Shapiro is a fellow of the Institute of Electrical and Electronics
Engineers, of the Optical Society of America, of the American Physical
Society, and of the Institute of Physics, and he is a member of SPIE (The
International Society for Optical Engineering). He has been an Associate
Editor of the IEEE Transactions on Information Theory and the Journal
of the Optical Society of America, and was the Principal Organizer of
the Sixth International Conference on Quantum Communication, Measurement
and Computing (QCMC'02). |
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Information theory probes the ultimate limits on reliable
communication. Optical communication systems are limited by noises of
quantum-mechanical origin. Determining the ultimate limits on the transmission
of classical information over optical channels is therefore the province
of quantum information theory applied to bosonic channels, because photons
are bosons. This talk will review some information capacity results for
single-user, multiple-access, and broadcast bosonic channels, all of which
are constructed from beam splitter models for propagation. An exact capacity
result is available for the single-user pure-loss channel, and a capacity
result has been conjectured for the single-user thermal-noise channel
whose validity would be implied by a related conjecture on the minimum
von Neumann entropy that can be achieved at the channel output. Interestingly,
single-use encoding over coherent states suffices to achieve the pure-loss
capacity and the conjectured thermal-noise capacity. For the lossless
multiple-access channel, there are inner and outer bounds on the capacity
region. It turns out that single-use encoding over coherent states achieves
the sum-rate capacity, but non-classical light is needed to reach the
single-user capacities in the multiple-access scenario. For the broadcast
channel, there is a conjectured capacity region - achievable with single-use
coherent-state encoding - whose validity would be implied by a second
minimum output entropy conjecture.
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