Practical high-dimensional quantum key distribution protocol over deployed multicore fiber

Quantum key distribution (QKD) is a secure communication scheme for sharing symmetric cryptographic keys based on the laws of quantum physics, and is considered a key player in the realm of cyber-security. A critical challenge for QKD systems comes from the fact that the ever-increasing rates at which digital data are transmitted require more and more performing sources of quantum keys, primarily in terms of secret key generation rate. High-dimensional QKD based on path encoding has been proposed as a candidate approach to address this challenge. However, while proof-of-principle demonstrations based on lab experiments have been reported in the literature, demonstrations in realistic environments are still missing. Here we report the generation of secret keys in a 4-dimensional hybrid time-path-encoded QKD system over a 52-km deployed multicore fiber link forming by looping back two cores of a 26-km 4-core optical fiber. Our results indicate that robust high-dimensional QKD can be implemented in a realistic environment by combining standard telecom equipment with emerging multicore fiber technology.

Dependence of nonlinear interference on mode dispersion and modulation format in strongly-coupled SDM transmissions

We study the role of the modulation format in the interaction between mode dispersion and the fiber nonlinear interference (NLI) in space-division multiplexed (SDM) systems with strongly-coupled spatial modes. We show that the interplay between mode dispersion and the modulation format has a significant impact on the magnitude of cross-phase modulation (XPM). We propose a simple formula that accounts for the modulation-format dependence of the XPM variance in the presence of arbitrary levels of mode dispersion, thus extending the ergodic Gaussian noise model.

Enhancing the Kramers-Kronig receiver via dispersion-based spatial diversity

We report a scheme for reconstructing the complex envelope of an optical signal from two decorrelated measurements of its intensity. The decorrelation is achieved by splitting the received optical signal into two copies, and by dispersing one of the copies prior to photo detection. The reconstructed complex-valued signal is obtained by means of an iterative algorithm that requires only a few tens of iterations. The starting point of the search procedure is produced by Kramers-Kronig (KK) reconstruction. With this procedure, the continuous-wave tone that accompanies the received signal is reduced by 5 dB to 6 dB compared to the requirement of a KK receiver alone.

Role of polarization-mode coupling in the crosstalk between cores of weakly-coupled multi-core fibers

We develop a theory of crosstalk in weakly-coupled multi-core fibers that accounts for the effect of intra-core polarization-mode coupling. We show that random polarization-mode coupling plays a critical role, just like other polarization-independent effects such as fiber bending and twist, in explaining the observed incoherent crosstalk in weakly-coupled multi-core fibers.

Simple method for optimizing the DC bias of Kramers-Kronig receivers based on AC-coupled photodetectors

We propose and evaluate a method to estimate the DC bias required for AC-coupled Kramers-Kronig receivers. The proposed method is based on a spectral analysis of the reconstructed signal without requiring an evaluation of the signal quality. The proposed method is described analytically and demonstrated experimentally using 12.5 GBaud 16-ary quadrature-amplitude modulated signals in back-to-back and after 100 km transmission.

Tritium and radiocarbon levels in the Rhône river delta and along the French Mediterranean coastline

The Rhône is characterised by a heavy concentration of nuclear-based industries including nuclear power stations and nuclear sites housing civilian and military facilities. Here, we report the results of a four-year survey (2010-2013) of tritium and radiocarbon levels in a variety of matrices within the Rhône delta and along the French Mediterranean coastline. The aim of the study is to create a spatial reference framework of environmental levels of these two radionuclides, which are the most prevalent in radioactive effluents from nuclear power stations. Although both tritium and radiocarbon levels in the samples analysed are very low and can only be detected using ultra-sensitive analytical techniques, they clearly show the influence of the tritium and radiocarbon discharges carried by the Rhône plume along the Mediterranean coast. The tritium content of suspended matter and sediments of the Rhône is a special case, which shows elevated tritium values not seen in other French rivers with similar nuclear facilities. The north-south spatial distribution of this tritium anomaly shows that these trace values are at their highest in the upper Rhône, close to the Swiss border and upstream of Creys Malville, the northernmost nuclear power station on the Rhône. This points to a legacy of past tritium releases by the watchmaking industry. A dedicated study would be needed to clearly identify the source and the exact nature of this contamination.

Nonlinear interference noise in space-division multiplexed transmission through optical fibers

We study the nonlinear interference noise (NLIN) generated in SDM systems, and generalize the NLIN model introduced in the context of single-mode fibers to the multi-mode case. The generalized model accounts for the modulation-format dependence of the NLIN, and gives the scaling of the NLIN power with the number of transmitted modes. It also provides the tools for extending the results of the NLIN Wizard to SDM. Unlike in the case of single-mode systems, the effect of MD cannot in general be ignored in the SDM case. We show that inclusion of MD erases the contribution of FWM effects, and significantly suppresses the effect of XPM.

The alkaline tolerance in Lotus japonicus is associated with mechanisms of iron acquisition and modification of the architectural pattern of the root

The response of fifty-four Lotus japonicus ecotypes, and of six selected ecotypes was investigated under alkaline conditions. Sensitive, but not tolerant ecotypes, showed interveinal chlorosis under all alkalinity conditions and high mortality under extreme alkalinity. Interveinal chlorosis was associated with Fe deficiency, as a reduced Fe²⁺ shoot content was observed in all sensitive ecotypes. In addition, some showed a decline in photosynthesis rate and PSII performance compared to the control. In contrast, some tolerant ecotypes did not change these parameters between treatments. Alkaline tolerance could be explained by a mechanism of Fe acquisition and a root structural modification. This conclusion was based on the fact that all tolerant, but not the sensitive ecotypes, presented high ferric reductase oxidase activity under alkaline stress compared to the control, and a Herringbone root pattern modification. On this basis, the analysis of these mechanisms of alkaline tolerance could be used in screening programs for the selection of new tolerant genotypes in the Lotus genus.

Evaluation of mean echogenicity of tendons and ligaments of the metacarpal region in neonatal foals: A preliminary study

The aims of this research were to evaluate mean echogenicity (ME) of the deep and superficial digital flexor tendons (DDFT and SDFT), the interosseous muscle (IM), and the accessory ligament of the deep digital flexor tendon (ALDDFT) of the metacarpal region in neonatal foals, and determine the effect of sex, side and body weight on this quantitative ultrasonographic evaluation. Thirteen orthopedically sound neonatal foals were examined. Four areas of study (1A, 1B, 2A, 2B) were identified. Transverse scans of the DDFT, SDFT, IM and ALDDFT were obtained, recorded, and analyzed. The most echogenic structures were the ALDDFT and DDFT, while the SDFT was significantly less echogenic than all other structures (P<0.05). No influence of sex, forelimb, or body weight was observed. The echogenicity of the tenodesmic structures of foals partially overlapped that reported in the metacarpal region in adult horses, except for IM.

Intensity impulse response of SDM links

We study the response of space-division multiplexed fiber links to an excitation by a short impulse of the optical intensity. We show that, in the presence of full mixing, the intensity impulse response is Gaussian, confirming recently reported experimental observations, and relate its variance to the mean square of the mode dispersion vector of the link τ(->). The good agreement between our theory and the previously published experiments provides solid foundations to the random coupling model of SDM fiber links, and provides a tool for efficient design of MIMO-DSP receivers.

Modeling and performance metrics of MIMO-SDM systems with different amplification schemes in the presence of mode-dependent loss

Mode-dependent loss (MDL) is a major factor limiting the achievable information rate in multiple-input multiple-output space-division multiplexed systems. In this paper we show that its impact on system performance, which we quantify in terms of the capacity reduction relative to a reference MDL-free system, may depend strongly on the operation of the inline optical amplifiers. This dependency is particularly strong in low mode-count systems. In addition, we discuss ways in which the signal-to-noise ratio of the MDL-free reference system can be defined and quantify the differences in the predicted capacity loss. Finally, we stress the importance of correctly accounting for the effect of MDL on the accumulation of amplification noise.

The delay spread in fibers for SDM transmission: dependence on fiber parameters and perturbations

Contrary to single mode fibers, where random imperfections are responsible for polarization-mode dispersion, modal dispersion (MD) in multi-mode fiber structures for space-division multiplexed (SDM) transmission, originates chiefly from the intrinsic non-degeneracy of the propagating modes, also known as modal birefringence. The presence of random imperfections in such fibers has a positive aspect, as it reduces the intrinsic MD, and in the limit of strong coupling it causes the signal delay spread to increase with the square root of the propagation distance, rather than linearly, as would be the case in an ideal fiber. In this paper we derive a formula that relates the signal delay spread to the fiber geometry and to the statistical properties of the structural fiber perturbations. The derived formula provides insight into the MD phenomenon and facilitates the design of low-MD multi-mode fiber structures.

Response to long-term NaHCO3-derived alkalinity in model Lotus japonicus Ecotypes Gifu B-129 and Miyakojima MG-20: transcriptomic profiling and physiological characterization

The current knowledge regarding transcriptomic changes induced by alkalinity on plants is scarce and limited to studies where plants were subjected to the alkaline salt for periods not longer than 48 h, so there is no information available regarding the regulation of genes involved in the generation of a new homeostatic cellular condition after long-term alkaline stress. Lotus japonicus is a model legume broadly used to study many important physiological processes including biotic interactions and biotic and abiotic stresses. In the present study, we characterized phenotipically the response to alkaline stress of the most widely used L. japonicus ecotypes, Gifu B-129 and MG-20, and analyzed global transcriptome of plants subjected to 10 mM NaHCO3 during 21 days, by using the Affymetrix Lotus japonicus GeneChip®. Plant growth assessment, gas exchange parameters, chlorophyll a fluorescence transient (OJIP) analysis and metal accumulation supported the notion that MG-20 plants displayed a higher tolerance level to alkaline stress than Gifu B-129. Overall, 407 and 459 probe sets were regulated in MG-20 and Gifu B-129, respectively. The number of probe sets differentially expressed in roots was higher than that of shoots, regardless the ecotype. Gifu B-129 and MG-20 also differed in their regulation of genes that could play important roles in the generation of a new Fe/Zn homeostatic cellular condition, synthesis of plant compounds involved in stress response, protein-degradation, damage repair and root senescence, as well as in glycolysis, gluconeogenesis and TCA. In addition, there were differences between both ecotypes in the expression patterns of putative transcription factors that could determine distinct arrangements of flavonoid and isoflavonoid compounds. Our results provided a set of selected, differentially expressed genes deserving further investigation and suggested that the L. japonicus ecotypes could constitute a useful model to search for common and distinct tolerance mechanisms to long-term alkaline stress response in plants.

[Effectiveness of a new cervicometer in evaluating the risk of preterm delivery]

AIM

The ultrasound measurement of the cervix is the gold standard for assessing the risk of preterm delivery. We compared the accuracy of this technique with measurements obtained by the cervicometer Cervilenz®. The purpose was to show that this device can be used as a screening tool, low cost, in the diagnosis of preterm labor.

METHODS

Fifty patients were included in the study at gestational age between 21+0 and 26 +0 or weeks. The study was blinded between the two performers utilizing the cervicometer and the transvaginal ultrasound.

RESULTS

The study showed 100% concordance and a correlation between the two techniques of 0.94.

CONCLUSION

The cervicometer proved to be a reliable and easy to use device to detect a normal or short cervix, with contained healthcare costs.

Random coupling between groups of degenerate fiber modes in mode multiplexed transmission

We study random coupling induced crosstalk between groups of degenerate modes in spatially multiplexed optical transmission. Our analysis shows that the average crosstalk is primarily determined by the wavenumber mismatch, by the correlation length of the random perturbations, and by the coherence length of the degenerate modes, whereas the effect of a deterministic group velocity difference is negligible. The standard deviation of the crosstalk is shown to be comparable to its average value, implying that crosstalk measurements are inherently noisy.

Raman amplification in multimode fibers with random mode coupling

We present the theory of Raman amplification in long multimode optical fibers, where strong random mode coupling within groups of quasi-degenerate modes is unavoidable. In such fibers, the signal components in modes that belong to the same strongly coupled group experience the same Raman amplification, where the differential gain is linearly dependent on the aggregate powers of the pump in each of the mode groups. The equations that we derive significantly facilitate the numerical and analytical study of Raman amplification in long multimode fibers.

Stokes-space analysis of modal dispersion in fibers with multiple mode transmission

Modal dispersion (MD) in a multimode fiber may be considered as a generalized form of polarization mode dispersion (PMD) in single mode fibers. Using this analogy, we extend the formalism developed for PMD to characterize MD in fibers with multiple spatial modes. We introduce a MD vector defined in a D-dimensional extended Stokes space whose square length is the sum of the square group delays of the generalized principal states. For strong mode coupling, the MD vector undertakes a D-dimensional isotropic random walk, so that the distribution of its length is a chi distribution with D degrees of freedom. We also characterize the largest differential group delay, that is the difference between the delays of the fastest and the slowest principal states, and show that it too is very well approximated by a chi distribution, although in general with a smaller number of degrees of freedom. Finally, we study the spectral properties of MD in terms of the frequency autocorrelation functions of the MD vector, of the square modulus of the MD vector, and of the largest differential group delay. The analytical results are supported by extensive numerical simulations.

Nonlinear propagation in multi-mode fibers in the strong coupling regime

We show that light propagation in a group of degenerate modes of a multi-mode optical fiber in the presence of random mode coupling is described by a multi-component Manakov equation, thereby making multi-mode fibers the first reported physical system that admits true multi-component soliton solutions. The nonlinearity coefficient appearing in the equation is expressed rigorously in terms of the multi-mode fiber parameters.

Effects of mesenchymal stem cells isolated from amniotic fluid and platelet-rich plasma gel on severe decubitus ulcers in a septic neonatal foal

This paper documents the treatment of severe decubitus ulcers with amniotic fluid mesenchymal stem cells and platelets rich plasma (PRP) gel in a septic neonatal foal. The colt needed 25 days of hospitalization: during this period ulcers were treated for 15 days with mesenchymal stem cells (MSCs) plus PRP, PRP gel alone, or aloe gel. Healing was faster using MSCs+PRP, and at 7 months an ulcer treated with aloe gel was still not completely healed.

Autocorrelation of the polarization-dependent loss in fiber routes

We study the spectral properties of polarization-dependent loss (PDL) in fiber routes with multiple spans and amplifiers. In these systems, PDL stems from a small number of lumped WDM components interconnected by PDL-free fibers, a configuration that is poorly described by the popular model of distributed PDL. We derive transparent and practical analytical expressions for the autocorrelation functions of the PDL vector and of the square PDL magnitude and show that they are strongly affected by the order of the individual PDL elements.

Statistics of polarization dependent loss in an installed long-haul WDM system

We have made continual, multiple-day measurements of the polarization dependent loss of multiple C-band channels in an installed 1800 km terrestrial link. The PDLs of individual channels varied on the time-scale of hours, while the temporal variations of the PDLs of adjacent channels often tracked. The probability densities of the field measurements of PDL were not Maxwellian and instead were truncated, consistent with the limited number of elements in the link having appreciable PDL. A new model for the statistics of PDL in systems with few PDL elements is proposed, where a lower bound of the distribution exists if there is a dominant PDL element. The probability distributions from measurement and theory show good agreement.

Sudden death of entanglement induced by polarization mode dispersion

We study the decoherence of polarization-entangled photon pairs subject to the effects of polarization mode dispersion, the chief polarization decoherence mechanism in optical fibers. We show that fiber propagation reveals an intriguing interplay between the concepts of entanglement sudden death, decoherence-free subspaces, and nonlocality. We define the boundaries in which entanglement-based quantum communications protocols relying on fiber propagation can be applied.

Nonlocal compensation of polarization mode dispersion in the transmission of polarization entangled photons

We study the feasibility of nonlocally compensating for polarization mode dispersion (PMD), when polarization entangled photons are distributed in fiber-optic channels.We quantify the effectiveness of nonlocal compensation while taking into account the possibility that entanglement is generated through the use of a pulsed optical pump signal.

Loss of polarization entanglement in a fiber-optic system with polarization mode dispersion in one optical path

We characterize theoretically and experimentally the degradation of polarization entanglement in a fiber-optic entanglement distribution system where one of the optical fibers is exposed to the effects of polarization mode dispersion (PMD). We show gradual reduction of entanglement with increasing PMD and find that the highest PMD tolerance is achieved when the bandwidth of the pump used to generate the entangled photons in a χ((3)) process is approximately half the bandwidth of the quantum channels.

Method for characterizing single photon detectors in saturation regime by cw laser

We derive an analytical expression for the count probability of a single photon detector for a wide range of input optical power that includes afterpulsing effects. We confirm the validity of the expression by fitting it to the data obtained from a saturated commercial Single Photon Detector by illuminating it with a cw laser. Detector efficiency and afterpulsing probability extracted from the fits agree with the manufacture specs for low repetition frequencies.

Chaos self-synchronization in a semiconductor laser

We show theoretically and experimentally that a semiconductor laser driven to chaos by optical feedback may be self-synchronized by reinjection of a delayed replica of its same optical output. The ensuing periodic regularity of the self-synchronized laser output is analyzed.

Guiding principles in choosing a therapeutic table for DCI hyperbaric therapy

Hyperbaric therapy is the basis of treatment for pervasive development disorders. For this reason, the choice of the right therapeutic table for each case is critical. Above all, the delay in recompression time with respect to the first symptoms and to the severity of the case must be considered. In our experience, the use of low-pressure oxygen tables resolves almost all cases if recompression takes place within a short time. When recompression is possible almost immediately, the mechanical effect of reduction on bubble volume due to pressure is of remarkable importance. In these cases, high-pressure tables can be considered. These tables can also be used in severe spinal-cord decompression sickness. The preferred breathing mixture is still disputed. Heliox seems to be favored because it causes fewer problems during the recompression of divers, and above all, because nitrox can cause narcosis and contributes nitrogen. Saturation treatment should be avoided or at least used only in special cases. In cases of arterial gas embolism cerebral injury, it is recommended to start with an initial 6 ATA recompression only if the time between symptom onset and the beginning of recompression is less than a few hours.

Nonintrusive characterization of long-fiber-link birefringence

We propose a technique for estimating the birefringence correlation length and beat length of a long fiber link based on the measurement of two parameters only, the mean differential group delay and the mean Faraday rotation of a fiber with a small magnetic field applied. The two parameters can be measured without the need of cutting the fiber.

Theory of the effect of geomagnetic field on plug-and-play schemes for fiber-based quantum key distribution systems

We quantify the instantaneous polarization rotation of the optical field by the Faraday birefringence in a long spun-fiber link terminated by a Faraday mirror. Obtained analytical results agrees well with computer simulations and are consistent with previous experimental findings.

Effect of fiber-spinning profile on plug-and-play quantum-key distribution systems

The spin profile of a fiber is usually optimized to reduce transmission impairments caused by polarization-mode dispersion (PMD). In this paper, we show that fiber-optic-based plug-and-play quantum-key distribution systems using polarization modulation and fibers with a spin profile optimal for PMD may suffer from a large Faraday rotation induced by the geomagnetic field. We show that, for periodic spin patterns of small periods, the Faraday rotation is minimum when no spin is applied to the fiber.

Statistics of the polarization mode dispersion dynamics

We characterize the joint two-time statistics of the polarization-mode dispersion (PMD) vector. Good agreement with experimental PMD measurements taken on an installed system is achieved. The results can be used to obtain the temporal evolution of the average penalty of a system close to an outage condition.

GFAP mutations and polymorphisms in 13 unrelated Italian patients affected by Alexander disease

Alexander disease (AD), a rare neurodegenerative disorder of the central nervous system, is characterized by the accumulation of cytoplasmic protein aggregates (Rosenthal fibers) composed of glial fibrillary acidic protein (GFAP) and small heat-shock proteins within astrocytes. To date, more than 40 different GFAP mutations have been reported in AD. The present study is aimed at the molecular diagnosis of Italian patients suspected to be affected by AD. By analyzing the GFAP gene of 13 unrelated patients (eight with infantile form, two with juvenile form and three with adult form), we found 11 different alleles, including four new ones. Among the novel mutations, three (p.R70Q, p.R73K, and p.R79P) were identified in exon 1 and p.L359P in exon 6. The sequence analysis also detected six different single nucleotide polymorphic variants, including two previously unreported ones, spread throughout non-coding regions (introns 2, 3, 5, 6, and 3'UTR) of the gene. All patients were heterozygous for the mutations, thus confirming their dominant effect.

Intracavity pulse dynamics and stability for passively mode-locked lasers

We derive a general characterization of the intracavity pulse dynamics for passively mode-locked fiber lasers based on the use of the variational principle. As a first application this method is used for an efficient simulation of the laser dynamics of stretched pulse and similariton lasers and evaluation of its stability.

Radiological consequences of the extreme flooding on the lower course of the Rhone valley (December 2003, south east France)

In early December 2003 unusual weather conditions led to major flooding of the lower Rhone valley. When it floods, the Rhone carries large masses of solid matter in suspension, which potentially includes associated artificial (anthropogenic) radioactive contaminants from soil drainage in the catchment area and from re-uptake of sedimentary matter that has been contaminated with low-level radioactive liquid effluents from almost twenty nuclear facilities situated along the Rhone valley. A sampling campaign was carried out to investigate the level and spread of both sediment mass and associated radioactive contamination across the flooded areas. An attempt was made to assess the radiological consequences of such an extreme event on contamination of the food chain. Our results show that almost 700,000 tons of sediment was transported onto the floodplain, of which 80% were coarse and fine sands. These materials transferred 6660 MBq of 137Cs, 93 MBq of (239+240)Pu, 13 MBq of 238Pu and 204 MBq of 60Co over a surface area of 60 km2. More than 90% of deposited sediments are concentrated in a 10 km2 area of agricultural soils, and we estimated that 18% were plowed into the soil. Nevertheless, the level of activity measured in the vegetable crops and milk was not significantly different from the level measured in similar samples from regions that were not affected by the December 2003 floods.

Pulse broadening due to polarization mode dispersion with first-order compensation

We give the exact analytical expression for the autocorrelation function of the polarization mode dispersion (PMD) vector of a fiber link in which first-order PMD is compensated for at the output. We use the result to obtain the mean-square width of a Gaussian pulse in the presence of a first-order PMD compensator.

Characterization of the time dependence of polarization mode dispersion

We elaborate on a recently proposed model of the temporal dependence of polarization mode dispersion in long fiber links. We evaluate the probability that a channel of a wavelength-division multiplexed system never incurs an outage, and the range of frequency over which the parameters that characterize the temporal statistics of the differential group delay are correlated.

Non-Maxwellian probability density function of fibers with lumped polarization mode dispersion elements

We give an analytical expression for the probability density function of the differential group delay for a concatenation of Maxwellian fiber sections and an arbitrary number of lumped elements with constant and isotropically oriented birefringence. When the contribution of the average squared of the constant birefringence elements is a significant fraction of the total, we show that the outage probability can be significantly overestimated if the probability density function of the differential group delay is approximated by a Maxwellian distribution.

Relationship between gastric and gallbladder emptying and refilling in normal subjects and patients with H. pylori-positive and -negative idiopathic dyspepsia and correlation with symptoms

Gastric and gallbladder emptying and refilling was studied in 10 normal subjects and in 38 dyspeptic patients. H. pylori was determined in each dyspeptic on mucosal antral biopsy performed during endoscopy. Gastric and gallbladder emptying was evaluated by real-time ultrasonography. Normal subjects were evaluated after two solid-liquid meals of 340 kcal and 680 kcal. Dyspeptics were studied after the 340-kcal meal only. For each subject and patient, minimum gallbladder volume and percentage of gastric emptying at this point was determined. Gastric and gallbladder slope was also drawn, and the crossing point between the two slopes identified. In normal subjects with the 340-kcal and 680-kcal meal, minimum gallbladder volume occurred for a similar percentage of gastric emptying. The crossing point between the two slopes was computed at the same percentage of gastric and gallbladder refilling with both meals. With the 680-kcal meal, however, peak gallbladder contraction and the crossing point between the two slopes occurred significantly later than with the 340-kcal meal (P < 0.05). In dyspeptics with the 340-kcal meal, the parameters evaluated were similar to the ones computed in controls after the meal of 680-kcal, suggesting delayed gastric emptying and gallbladder refilling. The presence or absence of H. pylori and symptom score were not correlated with any of the parameters studied.