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Quantum information theory has developed dramatically in the last 20 years
and has been revolutionary in the way it has changed how we think about
information and computation. It is clear that within a few years
communication protocols based on quantum mechanics will be common. Already
experiments have been performed showing how to communicate with
”absolute” security across a distance of 144 km. Experiments have also
been done on communication with satellites in space using lasers.
Combining these advances would lead to secure communication with
satellites.
This kind of communication puts one firmly in the realm of relativistic
effects. For example, the GPS
system requires that clocks are synchronized
to an accuracy of 20 to 30 nanoseconds. If relativistic corrections were
not made to the clock rates then they would get out of sync by almost 40
microseconds per day; a factor of 2000 away from what is needed. In the
case of quantum communication there would be entirely new phenomena to deal
with.
The laws of quantum information in this setting are poorly understood. In
particular we do not know general principles for calculating information
transmission rates or how to overcome the effects of noise in quantum
communication protocols that arise in some relativistic situations. On the
other hand, there are also (so far rare) examples where relativity can be
used to achieve security in situations where it is provably impossible
without relativity, even using quantum mechanics.
This project is set up to explore and formulate the fundamental laws of
information theory and communication in a fully relativistic and quantum
setting. Part of our goal is to understand the implications for
cryptography and information flow. Finally, on the positive side we want to
develop new communication paradigms and protocols that make use of
relativistic effects.
This project is funded by the Office of Naval Research as part of a Basic Research Challenge under the Broad Agency Announcement 08-007.