Entanglement Distribution and Entangling Power of Quantum Gates

Quantum gates, that play a fundamental role in quantum computation and other quantum information processes, are unitary evolution operators $\hat U$ that act on a composite system changing its entanglement. In the present contribution we study some aspects of these entanglement changes. By recourse of a Monte Carlo procedure, we compute the so called "entangling power" for several paradigmatic quantum gates and discuss results concerning the action of the CNOT gate. We pay special attention to the distribution of entanglement among the several parties involved

Clinical findings and outcome of dogs with unilateral masticatory muscle atrophy

Background: Little is known about the spectrum of underlying disorders in dogs with unilateral masticatory muscle (MM) atrophy. Objectives: To evaluate the clinical presentation, magnetic resonance imaging (MRI) findings, and outcome of dogs with unilateral MM atrophy. Animals: Sixty‐three client‐owned dogs. Methods: The medical database was retrospectively reviewed for dogs that underwent MRI for evaluation of unilateral MM atrophy. Imaging studies were reviewed and follow‐up information was obtained from telephone interviews. Results: Presumptive trigeminal nerve sheath tumor (pTNST) was diagnosed in 30 dogs (47.6%); survival time varied from 1 day to 21 months (median, 5 months). Other extra‐axial mass lesions were observed in 13 dogs (20.6%); survival time varied from 6 days to 25 months (median, 2.5 months). In 18 dogs (28.6%), no abnormalities were observed on MRI; neurological signs only progressed in 1 dog. Diagnosis had a significant influence on the type of neurological abnormalities, with additional neurological deficits observed in most dogs with pTNST and in all dogs with other extra‐axial mass lesions. Diagnosis had a significant effect on euthanasia at the time of diagnosis and likelihood of neurological deterioration. Dogs with mass lesions were more likely to be euthanized or experience neurological deterioration, whereas these outcomes occurred less often in dogs in which no causative lesion could be identified. Conclusions and Clinical Importance: Trigeminal nerve sheath tumors should not be considered the only cause of unilateral MM atrophy. Our results illustrate the importance of performing a neurological examination and MRI when evaluating dogs with unilateral MM atrophy

Acoustic detection of larval fish aggregations in Galician waters (NW Spain)

14 páginas, 3 tablas, 7 figurasAn acoustic study was conducted on the Galician shelf (NW Spain) during late winter 2012 to detect and assess larval fish abundance. An echo sounder operating with 18, 38, 70, 120 and 200 kHz split-beam, hull-mounted transducers was employed. We analysed the acoustic records in order to describe vertical and horizontal distribution patterns of larval fish aggregations. Regressions between acoustic backscattered energy and density of the most abundant species (Micromesistius poutassou) indicated that larvae with a swimbladder incremented notably the acoustic response at 38, 70 and 120 kHz. However, the predicted acoustic resonance at larval size and depth shows that the frequency of 120 kHz was likely ineffective in detecting fish larvae. The contribution of zooplankton (fish larvae excluded) to total scattering was negligible, even at the higher frequencies, except for several groups of fluid-like zooplankton, such as chaetognaths and polychaetes. Horizontal and vertical distributions of acoustic backscattering also indicated that larval fish aggregations can be detected in Galician waters with acoustics and suggest that this technique is a useful tool for overcoming difficulties associated with larval ecology and fish recruitment studiesVersión del editor2,483

Symmetries in Classical Field Theory

The multisymplectic description of Classical Field Theories is revisited, including its relation with the presymplectic formalism on the space of Cauchy data. Both descriptions allow us to give a complete scheme of classification of infinitesimal symmetries, and to obtain the corresponding conservation laws.Comment: 70S05; 70H33; 55R10; 58A2

Calibración de los parámetros del modelo de directividad de los transductores de la ecosonda Simrad EK60

The scientific echo sounder Simrad EK60 could be used for quantification of fisheries resources in marine science research campaigns. They use different frequency channels (from 18 to 200 KHz), emitted by underwater sound transducers with circular aperture geometries. Calibration is essential to obtain reliable values of Ts (Target Strength) and Sv (Volume Backscattering Coefficient) parameters, which are used to estimate fisheries stocks using echo volume integration. In this paper, manufacturer’s calibration method is presented, together a new proposal for the acquisition and post-processing of calibration data to obtain more accurate results.La ecosonda científica Simrad EK60 se utiliza para cuantificar los recursos pesqueros en campañas de investigación oceanográfica, utilizando diferentes canales de frecuencias (de 18 a 200KHz) mediante transductores acústicos de apertura con geometría circular. Su calibración resulta esencial para obtener los valores de Ts (‘target strength’) y Sv (‘Volume backscattering coefficient’), necesarios para estimar los tamaños de los stocks de las pesquerías mediante integración de los ecos. En este trabajo se presenta el método de calibración propuesto por el fabricante, así como una nueva propuesta de obtención y postproceso de datos que permite obtener calibraciones fiable

Dynamics of multipartite quantum correlations under decoherence

Quantum discord is an optimal resource for the quantification of classical and non-classical correlations as compared to other related measures. Geometric measure of quantum discord is another measure of quantum correlations. Recently, the geometric quantum discord for multipartite states has been introduced by Jianwei Xu [arxiv:quant/ph.1205.0330]. Motivated from the recent study [Ann. Phys. 327 (2012) 851] for the bipartite systems, I have investigated global quantum discord (QD) and geometric quantum discord (GQD) under the influence of external environments for different multipartite states. Werner-GHZ type three-qubit and six-qubit states are considered in inertial and non-inertial settings. The dynamics of QD and GQD is investigated under amplitude damping, phase damping, depolarizing and flipping channels. It is seen that the quantum discord vanishes for p>0.75 in case of three-qubit GHZ states and for p>0.5 for six qubit GHZ states. This implies that multipartite states are more fragile to decoherence for higher values of N. Surprisingly, a rapid sudden death of discord occurs in case of phase flip channel. However, for bit flip channel, no sudden death happens for the six-qubit states. On the other hand, depolarizing channel heavily influences the QD and GQD as compared to the amplitude damping channel. It means that the depolarizing channel has the most destructive influence on the discords for multipartite states. From the perspective of accelerated observers, it is seen that effect of environment on QD and GQD is much stronger than that of the acceleration of non-inertial frames. The degradation of QD and GQD happens due to Unruh effect. Furthermore, QD exhibits more robustness than GQD when the multipartite systems are exposed to environment.Comment: 15 pages, 4 figures, 4 table

Moment-Based Evidence for Simple Rational-Valued Hilbert-Schmidt Generic 2 x 2 Separability Probabilities

Employing Hilbert-Schmidt measure, we explicitly compute and analyze a number of determinantal product (bivariate) moments |rho|^k |rho^{PT}|^n, k,n=0,1,2,3,..., PT denoting partial transpose, for both generic (9-dimensional) two-rebit (alpha = 1/2) and generic (15-dimensional) two-qubit (alpha=1) density matrices rho. The results are, then, incorporated by Dunkl into a general formula (Appendix D6), parameterized by k, n and alpha, with the case alpha=2, presumptively corresponding to generic (27-dimensional) quaternionic systems. Holding the Dyson-index-like parameter alpha fixed, the induced univariate moments (|rho| |rho^{PT}|)^n and |rho^{PT}|^n are inputted into a Legendre-polynomial-based (least-squares) probability-distribution reconstruction algorithm of Provost (Mathematica J., 9, 727 (2005)), yielding alpha-specific separability probability estimates. Since, as the number of inputted moments grows, estimates based on |rho| |rho^{PT}| strongly decrease, while ones employing |rho^{PT}| strongly increase (and converge faster), the gaps between upper and lower estimates diminish, yielding sharper and sharper bounds. Remarkably, for alpha = 2, with the use of 2,325 moments, a separability-probability lower-bound 0.999999987 as large as 26/323 = 0.0804954 is found. For alpha=1, based on 2,415 moments, a lower bound results that is 0.999997066 times as large as 8/33 = 0.242424, a (simpler still) fractional value that had previously been conjectured (J. Phys. A, 40, 14279 (2007)). Furthermore, for alpha = 1/2, employing 3,310 moments, the lower bound is 0.999955 times as large as 29/64 = 0.453125, a rational value previously considered (J. Phys. A, 43, 195302 (2010)).Comment: 47 pages, 12 figures; slightly expanded and modified for journal publication; this paper incorporates and greatly extends arXiv:1104.021

Measurement-induced geometric measures of correlations based on the trace distance for two-qubit X states

We apply the modified Brodutch and Modi method of constructing geometric measures of correlations to obtain analytical expressions for measurement-induced geometric classical and quantum correlations based on the trace distance for two-qubit X states. Moreover, we study continuity of the classical and quantum correlations for these states. In particular, we show that these correlations may not be continuous