24 research outputs found
Algorithmic Superactivation of Asymptotic Quantum Capacity of Zero-Capacity Quantum Channels
The superactivation of zero-capacity quantum channels makes it possible to
use two zero-capacity quantum channels with a positive joint capacity for their
output. Currently, we have no theoretical background to describe all possible
combinations of superactive zero-capacity channels; hence, there may be many
other possible combinations. In practice, to discover such superactive
zero-capacity channel-pairs, we must analyze an extremely large set of possible
quantum states, channel models, and channel probabilities. There is still no
extremely efficient algorithmic tool for this purpose. This paper shows an
efficient algorithmical method of finding such combinations. Our method can be
a very valuable tool for improving the results of fault-tolerant quantum
computation and possible communication techniques over very noisy quantum
channels.Comment: 35 pages, 17 figures, Journal-ref: Information Sciences (Elsevier,
2012), presented in part at Quantum Information Processing 2012 (QIP2012),
v2: minor changes, v3: published version; Information Sciences, Elsevier,
ISSN: 0020-0255; 201
Private Quantum Coding for Quantum Relay Networks
The relay encoder is an unreliable probabilistic device which is aimed at
helping the communication between the sender and the receiver. In this work we
show that in the quantum setting the probabilistic behavior can be completely
eliminated. We also show how to combine quantum polar encoding with
superactivation-assistance in order to achieve reliable and capacity-achieving
private communication over noisy quantum relay channels.Comment: 15 pages, 3 figures, Journal-ref: Lecture Notes in Computer Science,
Vol. 7479, pp. 239-250. Springer-Verlag, 2012, presented in part at the 11th
Intl. Conference on Quantum Communication, Measurement and Computing
(QCMC2012), v2: minor formatting change
Quasi-Superactivation of Classical Capacity of Zero-Capacity Quantum Channels
One of the most surprising recent results in quantum Shannon theory is the
superactivation of the quantum capacity of a quantum channel. This phenomenon
has its roots in the extreme violation of additivity of the channel capacity
and enables to reliably transmit quantum information over zero-capacity quantum
channels. In this work we demonstrate a similar effect for the classical
capacity of a quantum channel which previously was thought to be impossible. We
show that a nonzero classical capacity can be achieved for all zero-capacity
quantum channels and it only requires the assistance of an elementary
photon-atom interaction process - the stimulated emission.Comment: 52 pages, 6 figures, Journal-ref: Journal of Modern Optics, published
version (minor typo fixed
Polaractivation of Hidden Private Classical Capacity Region of Quantum Channels
We define a new phenomenon for communication over noisy quantum channels. The
investigated solution is called polaractivation and based on quantum polar
encoding. Polaractivation is a natural consequence of the channel polarization
effect in quantum systems and makes possible to open the hidden capacity
regions of a noisy quantum channel by using the idea of rate increment. While
in case of a classical channel only the rate of classical communication can be
increased, in case of a quantum channel the channel polarization and the rate
improvement can be exploited to open unreachable capacity regions. We
demonstrate the results for the opening of private classical capacity-domain.
We prove that the method works for arbitrary quantum channels if a given
criteria in the symmetric classical capacity is satisfied. We also derived a
necessary lower bound on the rate of classical communication for the
polaractivation of private classical capacity-domain.Comment: 49 pages, 13 figures (with supplemental material), minor changes,
Journal-ref: IEEE Symposium on Quantum Computing and Computational
Intelligence 2013 (IEEE QCCI 2013
A Survey on Quantum Channel Capacities
Quantum information processing exploits the quantum nature of information. It
offers fundamentally new solutions in the field of computer science and extends
the possibilities to a level that cannot be imagined in classical communication
systems. For quantum communication channels, many new capacity definitions were
developed in comparison to classical counterparts. A quantum channel can be
used to realize classical information transmission or to deliver quantum
information, such as quantum entanglement. Here we review the properties of the
quantum communication channel, the various capacity measures and the
fundamental differences between the classical and quantum channels.Comment: 58 pages, Journal-ref: IEEE Communications Surveys and Tutorials
(2018) (updated & improved version of arXiv:1208.1270
Quantum channels and their entropic characteristics
One of the major achievements of the recently emerged quantum information
theory is the introduction and thorough investigation of the notion of quantum
channel which is a basic building block of any data-transmitting or
data-processing system. This development resulted in an elaborated structural
theory and was accompanied by the discovery of a whole spectrum of entropic
quantities, notably the channel capacities, characterizing
information-processing performance of the channels. This paper gives a survey
of the main properties of quantum channels and of their entropic
characterization, with a variety of examples for finite dimensional quantum
systems. We also touch upon the "continuous-variables" case, which provides an
arena for quantum Gaussian systems. Most of the practical realizations of
quantum information processing were implemented in such systems, in particular
based on principles of quantum optics. Several important entropic quantities
are introduced and used to describe the basic channel capacity formulas. The
remarkable role of the specific quantum correlations - entanglement - as a
novel communication resource, is stressed.Comment: review article, 60 pages, 5 figures, 194 references; Rep. Prog. Phys.
(in press