Parameterized Multipartite Entanglement and Genuine Entanglement Measures Based on q-Concurrence.

We study genuine multipartite entanglement (GME) and multipartite k-entanglement based on q-concurrence. Well-defined parameterized GME measures and measures of multipartite k-entanglement are presented for arbitrary dimensional n-partite quantum systems. Our GME measures show that the GHZ state is more entangled than the W state. Moreover, our measures are shown to be inequivalent to the existing measures according to entanglement ordering. Detailed examples show that our measures characterize the multipartite entanglement finer than some existing measures, in the sense that our measures identify the difference of two different states while the latter fail.

Phase Diagram and Quantum Entanglement Properties of a Pentamer S = 1/2 Heisenberg Spin Cluster.

Cluster molecular magnets prove their potential for applications in quantum technologies, encouraging studies of quantum entanglement in spin systems. In the paper we discuss quantum entanglement properties of pentamer cluster composed of spins S=1/2 forming a tetrahedron with additional spin in its center, with geometry reproducing the smallest nonplanar graph. We model the system with isotropic Heisenberg Hamiltonian including external magnetic field and use exact diagonalization approach to explore the ground-state phase diagram and thermodynamic properties within canonical ensemble formalism. We focus the interest on two-spin entanglement quantified by Wootters concurrence. For ground state, we find two states with total cluster spin equal to 3/2 exhibiting entanglement, occurring preferably for antiferromagnetic interactions. For finite temperatures, we predict the presence of magnetic-field-induced entanglement as well as temperature-induced entanglement.

Entanglement Swapping and Swapped Entanglement.

Entanglement swapping is gaining widespread attention due to its application in entanglement distribution among different parts of quantum appliances. We investigate the entanglement swapping for pure and noisy systems, and argue different entanglement quantifiers for quantum states. We explore the relationship between the entanglement of initial states and the average entanglement of final states in terms of concurrence and negativity. We find that if initial quantum states are maximally entangled and we make measurements in the Bell basis, then average concurrence and average negativity of final states give similar results. In this case, we simply obtain the average concurrence (average negativity) of the final states by taking the product of concurrences (negativities) of the initial states. However, the measurement in non-maximally entangled basis during entanglement swapping degrades the average swapped entanglement. Further, the product of the entanglement of the initial mixed states provides an upper bound to the average swapped entanglement of final states obtained after entanglement swapping. The negativity work well for weak entangled noisy states but concurrence gives better results for relatively strong entanglement regimes. We also discuss how successfully the output state can be used as a channel for the teleportation of an unknown qubit.

Determinants of drug expenditure in the Swiss healthcare market in 2006.

BACKGROUND: Several measures are in force in Switzerland to control the cost of drugs, but are not effective enough. There are many determinants influencing these expenditures, related to treatments, markets, physicians, patients and regions, but their impact on costs is not clear. METHODS: We applied a Bayesian multilevel model with five levels to adjust for patients, drugs' market, and physicians 'characteristics, treatment type, and district (i.e. Swiss canton). We used data of the Swiss drugs' market in 2006, offering real choices for doctors and patients (multiple products for similar active substances), with a neutral position of pharmacists (no financial incentives). RESULTS: Variance partitioning of yearly drugs' cost per insured showed that market level (delivered substance) contributed to 76% of the variance, treatment level (delivered product) to 20%, whereas patients' and physicians' levels accounted for only 2% each, without significant differences between Swiss cantons. After adjusting for covariables at each level, the model explained about 51% of the variation at the market and 20% at the treatment levels. We found that older but substitutable drugs, generics, larger size of the market and physician's specialty were associated with lower expenditure, whereas drugs requiring a physician's prescription, the number of prescribers per patient, patient' age, male gender, and comorbidities increased expenditure. Our results show that for a specific medication the yearly cost of recently released drugs was 36 CHF higher than for similar and substitutable drugs introduced 15 years earlier, corresponding to one third of the average annual treatment cost observed in our dataset. Competition did not seem to be effective to reduce expenditure on the drug market. CONCLUSION: The main finding of this study is that recentness of drugs was associated with an increase in drug expenditure in 2006, even after adjustment for all non-controllable determinants. Further research is recommended to confirm those results with updated data.

Analysis of Quantum Correlations Obtained Using Local Optimal Universal Asymmetric Cloners.

We apply the local optimal universal asymmetric cloning machine on an initially pure entangled state of two qubits. As output, we obtain two final states which present quantum correlations. We analyze three types of quantum correlations among the final states, namely, concurrence, quantum discord, and consonance. A detailed comparison between concurrence, quantum discord, and consonance is made, and we find that consonance is greater than quantum discord, which is in turn greater than concurrence.

Mixedness, Coherence and Entanglement in a Family of Three-Qubit States.

We consider a family of states describing three-qubit systems. We derived formulas showing the relations between linear entropy and measures of coherence such as degree of coherence, first- and second-order correlation functions. We show that qubit-qubit states are strongly entangled when linear entropy reaches some range of values. For such states, we derived the conditions determining boundary values of linear entropy parametrized by measures of coherence.

Concurrent and Concordant Oral and Genital High-Risk Human Papillomavirus in the United States: Results from the National Health and Nutrition Examination Survey.

BACKGROUND: Oropharyngeal cancers associated with high-risk human papillomavirus (HR-HPV) infection are increasing in the United States, especially among men. We evaluated the prevalence and predictors of concurrent (genital and oral) and concordant (same-type) HR-HPV infections in the United States. METHODS: We used the National Health and Nutrition Examination Survey from 2009 to 2016. Predictors were assessed via multivariable logistic regression. RESULTS: Among 10 334 respondents, 172 (2.1%) had concurrent infections (109 [3.5%] men and 63 [0.76%] women]. Ninety-three (1.0%) had concordant infections (54 [1.6%] men and 39 [0.5%] women). Predictors of concurrence in men included the following: no longer married versus married (odds ratio [OR], 2.3; 95% confidence interval [CI], 1.3-4.9), living with a partner versus married (3.0; 1.2-7.5), and having 2-5 lifetime oral sex partners (3.0; 1.2-7.5). In women they included the following: no longer married versus married (3.6; 1.3-10.3), ≥2 recent sex partners (4.6; 1.4-15.6 for 2-5 partners and 3.9; 1.1-14.3 for ≥6 partners), and marijuana use (2.2; 1.0-4.5). The predictor of concordance in men and women was no longer married versus married (3.5; 1.2-9.9 in men and 3.2; 1.1-9.4 in women). CONCLUSIONS: Concurrent and concordant HR-HPV infections occur at a high rate, especially among men, and are associated with behavioral factors. This underscores the importance of HPV vaccination, screening, and education in men.

Exploring the relationships between wasting and stunting among a cohort of children under two years of age in Niger.

BACKGROUND: Wasting and stunting, physical growth manifestations of child undernutrition, have historically been considered separately with distinct interventions at the program, policy, and financing levels despite similar risk factors, overlapping burdens and multiplicative risk of death when the conditions are concurrent. The aim of this study was to elucidate shared risk factors and the temporal relationship between wasting and stunting among children under 2 years of age in rural Niger. METHODS: From August 2014 to December 2019, anthropometric data were collected every 4 weeks from 6 to 8 weeks to 24 months of age for 6567 children comprising 139,529 visits in Madarounfa, Niger. Children were defined as wasted if they had a weight-for-length Z-score < - 2 and stunted if they had a length-for-age Z-score < - 2 using the 2006 World Health Organization child growth standards. Parental, child, and socioeconomic risk factors for wasting and stunting at 6 and 24 months of age and the relationship between episodes of wasting, stunting and concurrent wasting-stunting were assessed using general estimating equations. RESULTS: Half of children (50%) were female, and 8.3% were born low birthweight (< 2500 g). Overall, at 24 months of age, 14% of children were wasted, 80% were stunted and 12% were concurrently wasted-stunted. We found that maternal short stature, male sex, and low birthweight were risk factors for wasting and stunting at 6 and 24 months, whereas higher maternal body mass index and household wealth were protective factors. Wasting at 6 and 24 months was predicted by a prior episodes of wasting, stunting, and concurrent wasting-stunting. Stunting at 6 and 24 months was similarly predicted by prior episodes of stunting and concurrent wasting-stunting at any prior age but only by prior episodes of wasting after 6 months of age. CONCLUSIONS: These data support a complex and dynamic bi-directional relationship between wasting and stunting in young children in rural Niger and an important burden of concurrent wasting-stunting in this setting. Further research to better understand the inter-relationships and mechanisms between these two conditions is needed in order to develop and target interventions to promote child growth. TRIAL REGISTRATION: ClinicalTrials.gov Identifier: NCT02145000 .

Concurrence of craniopharyngioma and meningioma: a case report and systematic review of the literature.

Craniopharyngioma (CPG) is a benign epithelial tumor that originates from Rathke's pouch. Meningiomas (MNG) are neoplasms of meningothelial cell. The patient is a 42-year-old female who presented with left-sided temporal headaches and visual acuity impairment. Neurological examination revealed bilateral peripheral visual field defects. Imaging of the brain showed a hypointense solid-cystic sellar lesion with suprasellar extension without calcification which enhanced with contrast. Also present was a second, contrast-enhancing extra axial lesion overlying the olfactory groove. The patient had no history of tumor surgery or radiation therapy. Both of the lesions were operated for resection and post operation status was uneventful. This study reports non-radiation related co-occurrence of a craniopharyngioma (CPG) and a meningioma (MNG). We reviewed published articles between 1966 and 2020, and found that although MNGs are the most commonly occurring brain tumors, the occurrence of MNG and CPG together with no relation to radiation is relatively rare, reported only 7 times in living patients. By analyzing the data and keeping in mind that there is no proven common genetic background and risk factor between them, their co-occurrence, shows the importance of further investigation to clear any possible relationship between the two other than mere coincidence.

Tavis-Cummings Model with Moving Atoms.

In this work, we examine a nonlinear version of the Tavis-Cummings model for two two-level atoms interacting with a single-mode field within a cavity in the context of power-law potentials. We consider the effect of the particle position that depends on the velocity and acceleration, and the coupling parameter is supposed to be time-dependent. We examine the effect of velocity and acceleration on the dynamical behavior of some quantumness measures, namely as von Neumann entropy, concurrence and Mandel parameter. We have found that the entanglement of subsystem states and the photon statistics are largely dependent on the choice of the qubit motion and power-law exponent. The obtained results present potential applications for quantum information and optics with optimal conditions.

Simultaneous occurrence of hepatic alveolar and cystic echinococcosis.

The co-occurrence of hepatic cystic echinococcosis (CE) and alveolar echinococcosis (AE) is extremely rare. Here, we present the clinical manifestations and treatment outcomes of three cases with co-occurring CE and AE in the liver. Computed tomography (CT), magnetic resonance imaging and 18FFluorodeoxyglucose Positron Emission Tomography-CT were used for preoperative diagnosis. Specimens were taken intraoperatively and sent for pathological studies to confirm the coexistence of CE and AE by laminated membrane, daughter cysts or germinal layer and infiltration structure. Albendazole was prescribed after operation for 12 months. All patients were completely recovered and showed no recurrence at last follow-up. Therefore, surgical intervention and postoperative application of albendazole are recommended for patients with concurrence of hepatic AE and CE.

Microbial source tracking markers associated with domestic rainwater harvesting systems: Correlation to indicator organisms.

Domestic rainwater harvesting (tank water) systems were screened for the presence of a panel of microbial source tracking (MST) markers and traditional indicator organisms. The indicator organisms were enumerated utilizing traditional culture-based methods, while the MST markers were quantified by quantitative PCR (qPCR). The indicators Escherichia coli (E. coli) and enterococci were also quantified using qPCR. Correlations and concurrence between these parameters were then investigated to determine which markers could be utilized to supplement traditional indicator analysis. Quantitative PCR analysis indicated that Bacteroides HF183, adenovirus, Lachnospiraceae and E. coli were detected and quantifiable in 100% of the tank water samples collected throughout the sampling period, while human mitochondrial DNA (mtDNA) was quantifiable in 90% of the tank water samples and Bifidobacterium adolescentis (B. adolescentis) and enterococci were quantifiable in 67% of the tank water samples, respectively. Significant positive correlations were recorded for Lachnospiraceae versus heterotrophic bacteria (p = 0.000), adenovirus versus E. coli (culturing) (p = 0.000) and heterotrophic bacteria (p = 0.024), the HF183 marker versus E. coli (qPCR) (p = 0.024) and B. adolescentis versus fecal coliforms (p = 0.037). In addition, 100% concurrence was observed for the HF183 marker, adenovirus and Lachnospiraceae versus E. coli (qPCR), enterococci (qPCR) and heterotrophic bacteria, amongst others. Based on the correlations and the concurrence analysis, the HF183 marker, Lachnospiraceae and adenovirus may be utilized to supplement indicator organism analysis for the monitoring of harvested rainwater quality.

Generalized Weyl-Heisenberg Algebra, Qudit Systems and Entanglement Measure of Symmetric States via Spin Coherent States.

A relation is established in the present paper between Dicke states in a d-dimensional space and vectors in the representation space of a generalized Weyl-Heisenberg algebra of finite dimension d. This provides a natural way to deal with the separable and entangled states of a system of N = d - 1 symmetric qubit states. Using the decomposition property of Dicke states, it is shown that the separable states coincide with the Perelomov coherent states associated with the generalized Weyl-Heisenberg algebra considered in this paper. In the so-called Majorana scheme, the qudit (d-level) states are represented by N points on the Bloch sphere; roughly speaking, it can be said that a qudit (in a d-dimensional space) is describable by a N-qubit vector (in a N-dimensional space). In such a scheme, the permanent of the matrix describing the overlap between the N qubits makes it possible to measure the entanglement between the N qubits forming the qudit. This is confirmed by a Fubini-Study metric analysis. A new parameter, proportional to the permanent and called perma-concurrence, is introduced for characterizing the entanglement of a symmetric qudit arising from N qubits. For d = 3 ( ⇔ N = 2 ), this parameter constitutes an alternative to the concurrence for two qubits. Other examples are given for d = 4 and 5. A connection between Majorana stars and zeros of a Bargmmann function for qudits closes this article.

[Impact of the expiry of the patent on quality and price of medicines at hospital: Study of five anticancer drugs from 2008 to 2015 at the Assistance publique-Hôpitaux de Paris]. / Impact de la chute des brevets sur le critère « qualité ¼ et sur le prix des médicaments à l'hôpital : étude sur cinq anticancéreux entre 2008 et 2015 à l'Assistance publique­Hôpitaux de Paris.

OBJECTIVES: Anticancer drugs were in 2005 the first expenditure item of the hospital drugs. Ten years later, it is noted that the placing on the market of generic drugs has led to a strong decrease of their price. To determine whether this decrease comes at the expense of product quality, a price-quality ratio trend study of five anticancer drugs was performed at AP-HP. METHOD: This work concerns docetaxel, oxaliplatin, gemcitabine, irinotecan and paclitaxel, and focus on the transition period between monopoly conditions and competitive situation (2008 to 2015). The price is set by calculating the cost per milligram of each specialty. Quality is evaluated by the average of quality marks obtained during the analysis of the tenders received in the purchasing procedures on four assessment criteria: ready for use form, stability of the solution after dilution, safety use and labeling. RESULTS: Between 2008 and 2015, the price per milligram of these anticancer drugs decreases, following the placing on the market of generic drugs. The quality of the tenders is maintained and even improved in many cases. On average, generic rating quality, lower than that of the originators in 2008, are now the highest. CONCLUSION: This study allows an objective basis of the effects of the drop in patent originator medicines. The placing on the market of generic drugs has a double positive result for the buyer: strong price cuts, parallel to the quality improvement, through the example of five anticancer drugs studied.

Autopsy case of concurrent Huntington's disease and neurofibromatosis type 1.

We report here an autopsy case of concurrent Huntington's disease (HD) and neurofibromatosis type 1 (NF1), also known as von Recklinghausen's disease. The patient was a Japanese woman with a significant hereditary burden: seven of her family members within four generations were affected by either NF1 or concurrent HD and NF1. She was diagnosed as having NF1 at age 24. At age 40, she showed signs of irritability, aggressive and childish behaviour, which became progressively worse. At age 48, rigidity and spastic gait were observed. One year later, choreoathetoid involuntary movements became apparent. Diagnosis of HD was made by identification of the abnormally expanded cytosine-adenine-guanine repeats in the Huntington's disease gene. Her condition deteriorated gradually to an apallic state and she died at age 60. Post-mortem examination revealed extensive brain atrophy, which was particularly severe in the frontal and temporal cortices and the striatum. The degree of neurodegenerative change seemed to correspond to grade IV. Polyglutamine positive inclusions were seen frequently in all layers of the cerebral cortex and in the amygdala and hippocampus. Inclusions were also present in the striatum, but there were fewer than in the cortex. Remarkably, neuronal intranuclear inclusions were present in the cerebellum, although they are usually not seen in HD. Features associated with the central nervous system involvement of NF1 were not found in the brain, but HD pathology might have been accelerated by the concurrence of NF1. This is the third report of a case with concurrent HD and NF1 in the world, and the first study in which occurrence of polyglutamine inclusions was confirmed on post-mortem examination.

Entanglement harvesting in buckled honeycomb lattices by vacuum fluctuations in a microcavity.

We study the entanglement harvesting between two identical buckled honeycomb lattices placed inside a planar microcavity. By applying time dependent perturbation theory, we obtain quantum correlations between both layers induced by the cavity field. Considering the vacuum state as the initial state of the cavity field and tracing out the time-evolved degrees of freedom, we analyze the entanglement formation using the concurrence measure. We show that the concurrence depends on the virtual photon exchanged and the positions of the layer through the interlayer photon propagator. Furthermore, we find that the formation of entanglement between equal energy electrons tends to be enhanced when they move in perpendicular directions. Our results indicate that a buckled honeycomb structure and a large spin-orbit interaction favor the entanglement harvesting.

A Proposal for the Clinical Characterization of Continuous Glucose Monitoring Trend Arrow Accuracy.

The assessment and characterization of trend accuracy, that is, the ability of a continuous glucose monitoring (CGM) system to correctly indicate the direction and rate of change (RoC) of glucose levels, has received comparatively little attention in the overall evaluation of CGM performance. As such, only few approaches that examine the trend accuracy have been put forward. In this article, we review existing approaches and propose the clinical trend concurrence analysis (CTCA) which is an adaptation of the conventional trend concurrence analysis. The CTCA is intended to directly evaluate the trend arrows displayed by the CGM systems by characterizing their agreement to suitably categorized comparator RoCs. Here, we call on manufactures of CGM systems to provide the displayed trend arrows for retrospective analysis. The CTCA classifies any deviations between the CGM trend and comparator RoC according to their risk for an adverse clinical event arising from a possibly erroneous treatment decision. For that, the existing rate error grid analysis and a specific set of trend arrow-based insulin dosing recommendations were used. The results of the CTCA are presented in an accessible graphical display and exemplified on data from three CGM systems. With this article, we hope to increase the awareness for the importance and challenges of assessing the accuracy of trend information displayed by CGM systems.

Magnetic phases of XY model with three-spin terms: interplay of topology and entanglement.

Magnetic and topological properties along with quantum correlations in terms of several entanglement measures have been investigated for an antiferromagnetic (AFM) spin-1/2 XY model in the presence of transverse magnetic field and XZX-YZY type of three-spin interactions. Symmetries of the spin Hamiltonian have been identified. Under the Jordan-Wigner transformation, the spin Hamiltonian converted into spinless superconducting model with nearest neighbor (NN) hopping and Cooper pairing terms in addition to next NN Cooper pairing potential. Long range AFM order has been studied in terms of staggered spin-spin correlation functions, while the topological orders have been characterized by winding numbers. Magnetic and topological phase diagrams have been prepared. Faithful coexistence of magnetic and topological superconducting phases is found in the entire parameter regime. Boundaries of various quantum phases have been marked and positions of bicritical points have been identified.

Association between concurrence of multiple risk factors and under-5 mortality: a pooled analysis of data from Demographic and Health Survey in 61 low-and-middle-income countries.

Background: Exposure to multiple risk factors is prevalent in low-and middle-income countries (LMICs), challenging one-directional strategies to address preventable under-5 mortality (U5M). This study aims to assess the associations between concurrence of multiple risk factors and U5M in LMICs. Methods: We extracted data from the Demographic and Health Surveys conducted between 2010 and 2021 across 61 LMICs. Our primary outcome was U5M, defined as deaths from birth to 59 months. Binary logistic regression model was applied to ascertain the association between U5M and a total of 20 critical risk factors. Upon identifying the risk factors demonstrating the strongest associations, we investigated the simultaneous presence of multiple risk factors in each individual and assessed their combined effects on U5M with logistic regression models. Findings: Of the 604,372 under-5 children, 18,166 (3.0%) died at the time of the survey. Unsatisfied family planning needs was the strongest risk factor for U5M (odds ratio [OR]: 2.0, 95% confidence interval [CI]: 1.9-2.1), followed by short birth interval (<18 months; OR: 2.0, 95% CI: 1.9-2.1), small birth size (OR: 2.0, 95% CI: 1.8-2.1), never breastfed or delayed breastfeeding (OR: 2.0, 95% CI: 1.9-2.0), and low maternal education (OR: 1.6, 95% CI: 1.4-1.8). 66.7% (66.6%-66.8%) of the children had 2 or more leading risk factors simultaneously. Simultaneous presence of multiple leading risk factors was significantly associated with elevated risk of U5M and children presenting with all 5 leading risk factors exhibited an exceedingly high risk of U5M (OR: 5.2, 95% CI: 4.3-6.3); a dose-response relationship between the number of risk factors and U5M was also observed-with the increment of numbers of leading risk factors, the U5M showed an increasing trend (p-trend < 0.001). Interpretation: Exposure to multiple risk factors is very common in LMICs and underscores the necessity of developing multisectoral and integrated approaches to accelerate progress in reducing U5M in line with the SDG 3.2. Funding: This research is funded by Research Fund, Vanke School of Public Health, Tsinghua University.