4,544 research outputs found
Improved construction of irregular progressive edge-growth Tanner graphs
The progressive edge-growth algorithm is a well-known procedure to construct
regular and irregular low-density parity-check codes. In this paper, we propose
a modification of the original algorithm that improves the performance of these
codes in the waterfall region when constructing codes complying with both,
check and symbol node degree distributions. The proposed algorithm is thus
interesting if a family of irregular codes with a complex check node degree
distribution is used.Comment: 3 pages, 3 figure
The baryon-decuplet in the chiral dynamics of Lambda-hyperons in nuclear matter
We study the long range part of the -hyperon optical potential in
nuclei using Quantum Many Body techniques and flavor-SU(3) Chiral Lagrangians
as starting point. More precisely, we study the contributions to the
-hyperon optical potential due to the long-range two-pion exchange,
with and baryons in the internal baryonic lines and
considering Nh and h excitations. We also consider the contribution to
the spin-orbit potentials that comes out from these terms. Our results support
a natural explanation of the smallness of the -nuclear spin-orbit
interaction and shows the importance of the and degrees of
freedom for the hyperon-nucleus interactions.Comment: 8 pages, 5 figure
Blind Reconciliation
Information reconciliation is a crucial procedure in the classical
post-processing of quantum key distribution (QKD). Poor reconciliation
efficiency, revealing more information than strictly needed, may compromise the
maximum attainable distance, while poor performance of the algorithm limits the
practical throughput in a QKD device. Historically, reconciliation has been
mainly done using close to minimal information disclosure but heavily
interactive procedures, like Cascade, or using less efficient but also less
interactive -just one message is exchanged- procedures, like the ones based in
low-density parity-check (LDPC) codes. The price to pay in the LDPC case is
that good efficiency is only attained for very long codes and in a very narrow
range centered around the quantum bit error rate (QBER) that the code was
designed to reconcile, thus forcing to have several codes if a broad range of
QBER needs to be catered for. Real world implementations of these methods are
thus very demanding, either on computational or communication resources or
both, to the extent that the last generation of GHz clocked QKD systems are
finding a bottleneck in the classical part. In order to produce compact, high
performance and reliable QKD systems it would be highly desirable to remove
these problems. Here we analyse the use of short-length LDPC codes in the
information reconciliation context using a low interactivity, blind, protocol
that avoids an a priori error rate estimation. We demonstrate that 2x10^3 bits
length LDPC codes are suitable for blind reconciliation. Such codes are of high
interest in practice, since they can be used for hardware implementations with
very high throughput.Comment: 22 pages, 8 figure
Untainted Puncturing for Irregular Low-Density Parity-Check Codes
Puncturing is a well-known coding technique widely used for constructing
rate-compatible codes. In this paper, we consider the problem of puncturing
low-density parity-check codes and propose a new algorithm for intentional
puncturing. The algorithm is based on the puncturing of untainted symbols, i.e.
nodes with no punctured symbols within their neighboring set. It is shown that
the algorithm proposed here performs better than previous proposals for a range
of coding rates and short proportions of punctured symbols.Comment: 4 pages, 3 figure
Rate Compatible Protocol for Information Reconciliation: An application to QKD
Information Reconciliation is a mechanism that allows to weed out the
discrepancies between two correlated variables. It is an essential component in
every key agreement protocol where the key has to be transmitted through a
noisy channel. The typical case is in the satellite scenario described by
Maurer in the early 90's. Recently the need has arisen in relation with Quantum
Key Distribution (QKD) protocols, where it is very important not to reveal
unnecessary information in order to maximize the shared key length. In this
paper we present an information reconciliation protocol based on a rate
compatible construction of Low Density Parity Check codes. Our protocol
improves the efficiency of the reconciliation for the whole range of error
rates in the discrete variable QKD context. Its adaptability together with its
low interactivity makes it specially well suited for QKD reconciliation
Gauge-invariant implications of the LHCb measurements on Lepton-Flavour Non-Universality
We study the implications of the recent measurements of and
by the LHCb collaboration. We do that by adopting a model-independent approach
based on the Standard Model Effective Field Theory (SMEFT), in which the
dominant new physics effects are encoded in the coefficients of dimension-six
operators respecting the full Standard Model (SM) gauge symmetry. After
providing simplified expressions for and , we determine the
implications of the recent LHCb results for these observables on the
coefficients of the SMEFT operators at low and high energies. We also take into
account all data, which combined lead to effective New
Physics (NP) scenarios with SM pulls in excess of 5~. Thus the
operators discussed in this paper would be the first dimension-six terms in the
SM Lagrangian to be detected experimentally. Indirect constraints on these
operators are also discussed. The results of this paper transcend the
singularity of the present situation, and set a standard for future analyses in
transitions when the NP is assumed to lie above the electroweak scale.Comment: 10 pages, 2 figures, 3 tables. v2: references added, typos corrected,
improved discussion in Sec. V, corrected coefficient of C7 in formula for
RKstar in the low-bin, new figure with global fit in terms of SMEFT
coefficients. Conclusions unchanged. v3: minor addition, shorter version to
be published in PR
Minimal 3-loop neutrino mass models and charged lepton flavor violation
We study charged lepton flavor violation for the three most popular 3-loop
Majorana neutrino mass models. We call these models "minimal" since their
particle content correspond to the minimal sets for which genuine 3-loop models
can be constructed. In all the three minimal models the neutrino mass matrix is
proportional to some powers of Standard Model lepton masses, providing
additional suppression factors on top of the expected loop suppression. To
correctly explain neutrino masses, therefore large Yukawa couplings are needed
in these models. We calculate charged lepton flavor violating observables and
find that the three minimal models survive the current constraints only in very
narrow regions of their parameter spaces.Comment: 32+7 pages, 23 figures, 7 table
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