286,273 research outputs found
Quantum Limitations on the Storage and Transmission of Information
Information must take up space, must weigh, and its flux must be limited.
Quantum limits on communication and information storage leading to these
conclusions are here described. Quantum channel capacity theory is reviewed for
both steady state and burst communication. An analytic approximation is given
for the maximum signal information possible with occupation number signal
states as a function of mean signal energy. A theorem guaranteeing that these
states are optimal for communication is proved. A heuristic "proof" of the
linear bound on communication is given, followed by rigorous proofs for signals
with specified mean energy, and for signals with given energy budget. And
systems of many parallel quantum channels are shown to obey the linear bound
for a natural channel architecture. The time--energy uncertainty principle is
reformulated in information language by means of the linear bound. The quantum
bound on information storage capacity of quantum mechanical and quantum field
devices is reviewed. A simplified version of the analytic proof for the bound
is given for the latter case. Solitons as information caches are discussed, as
is information storage in one dimensional systems. The influence of signal
self--gravitation on communication is considerd. Finally, it is shown that
acceleration of a receiver acts to block information transfer.Comment: Published relatively inaccessible review on a perennially interesting
subject. Plain TeX, 47 pages, 5 jpg figures (not embedded
Capacity Results on Multiple-Input Single-Output Wireless Optical Channels
This paper derives upper and lower bounds on the capacity of the
multiple-input single-output free-space optical intensity channel with
signal-independent additive Gaussian noise subject to both an average-intensity
and a peak-intensity constraint. In the limit where the signal-to-noise ratio
(SNR) tends to infinity, the asymptotic capacity is specified, while in the
limit where the SNR tends to zero, the exact slope of the capacity is also
given.Comment: Submitted to IEEE Transactions on Information Theor
Interference, Cooperation and Connectivity - A Degrees of Freedom Perspective
We explore the interplay between interference, cooperation and connectivity
in heterogeneous wireless interference networks. Specifically, we consider a
4-user locally-connected interference network with pairwise clustered decoding
and show that its degrees of freedom (DoF) are bounded above by 12/5.
Interestingly, when compared to the corresponding fully connected setting which
is known to have 8/3 DoF, the locally connected network is only missing
interference-carrying links, but still has lower DoF, i.e., eliminating these
interference-carrying links reduces the DoF. The 12/5 DoF outer bound is
obtained through a novel approach that translates insights from interference
alignment over linear vector spaces into corresponding sub-modularity
relationships between entropy functions.Comment: Submitted to 2011 IEEE International Symposium on Information Theory
(ISIT
Strong converse for the classical capacity of optical quantum communication channels
We establish the classical capacity of optical quantum channels as a sharp
transition between two regimes---one which is an error-free regime for
communication rates below the capacity, and the other in which the probability
of correctly decoding a classical message converges exponentially fast to zero
if the communication rate exceeds the classical capacity. This result is
obtained by proving a strong converse theorem for the classical capacity of all
phase-insensitive bosonic Gaussian channels, a well-established model of
optical quantum communication channels, such as lossy optical fibers, amplifier
and free-space communication. The theorem holds under a particular
photon-number occupation constraint, which we describe in detail in the paper.
Our result bolsters the understanding of the classical capacity of these
channels and opens the path to applications, such as proving the security of
noisy quantum storage models of cryptography with optical links.Comment: 15 pages, final version accepted into IEEE Transactions on
Information Theory. arXiv admin note: text overlap with arXiv:1312.328
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