Smallest disentangling state spaces for general entangled bipartite quantum states

Entangled quantum states can be given a separable decomposition if we relax the restriction that the local operators be quantum states. Motivated by the construction of classical simulations and local hidden variable models, we construct `smallest' local sets of operators that achieve this. In other words, given an arbitrary bipartite quantum state we construct convex sets of local operators that allow for a separable decomposition, but that cannot be made smaller while continuing to do so. We then consider two further variants of the problem where the local state spaces are required to contain the local quantum states, and obtain solutions for a variety of cases including a region of pure states around the maximally entangled state. The methods involve calculating certain forms of cross norm. Two of the variants of the problem have a strong relationship to theorems on ensemble decompositions of positive operators, and our results thereby give those theorems an added interpretation. The results generalise those obtained in our previous work on this topic [New J. Phys. 17, 093047 (2015)].

MANIPULATION OF IONS, ELECTRONS, AND PHOTONS IN 2D MATERIALS BY ION INTERCALATION

2D materials have attracted tremendous attention due to their unique physical and chemical properties since the discovery of graphene. Despite these intrinsic properties, various modification methods have been applied to 2D materials that yield even more exciting results. Among all modification methods, the intercalation of 2D materials provides the highest possible doping and/or phase change to the pristine 2D materials. This doping effect highly modifies 2D materials, with extraordinary electrical transport as well as optical, thermal, magnetic, and catalytic properties, which are advantageous for optoelectronics, superconductors, thermoelectronics, catalysis and energy storage applications. To study the property changes of 2D materials, we designed and built a planar nanobattery that allows electrochemical ion intercalation in 2D materials. More importantly, this planar nanobattery enables characterization of electrical, optical and structural properties of 2D materials in situ and real time upon ion intercalation. With this device, we successfully intercalated Li-ions into few layer graphene (FLG) and ultrathin graphite, heavily dopes the graphene to 0.6 x 10^15 /cm2, which simultaneously increased its conductivity and transmittance in the visible range. The intercalated LiC6 single crystallite achieved extraordinary optoelectronic properties, in which an eight-layered Li intercalated FLG achieved transmittance of 91.7% (at 550 nm) and sheet resistance of 3 ohm/sq. We extend the research to obtain scalable, printable graphene based transparent conductors with ion intercalation. Surfactant free, printed reduced graphene oxide transparent conductor thin film with Na-ion intercalation is obtained with transmittance of 79% and sheet resistance of 300 ohm/sq (at 550 nm). The figure of merit is calculated as the best pure rGO based transparent conductors. We further improved the tunability of the reduced graphene oxide film by using two layers of CNT films to sandwich it. The tunable range of rGO film is demonstrated from 0.9 um to 10 um in wavelength. Other ions such as K-ion is also studied of its intercalation chemistry and optical properties in graphitic materials. We also used the in situ characterization tools to understand the fundamental properties and improve the performance of battery electrode materials. We investigated the Na-ion interaction with rGO by in situ Transmission electron microscopy (TEM). For the first time, we observed reversible Na metal cluster (with diameter larger than 10 nm) deposition on rGO surface, which we evidenced with atom-resolved HRTEM image of Na metal and electron diffraction pattern. This discovery leads to a porous reduced graphene oxide sodium ion battery anode with record high reversible specific capacity around 450 mAh/g at 25mA/g, a high rate performance of 200 mAh/g at 250 mA/g, and stable cycling performance up to 750 cycles. In addition, direct observation of irreversible formation of Na2O on rGO unveils the origin of commonly observed low 1st Columbic Efficiency of rGO containing electrodes. Another example for in situ characterization for battery electrode is using the planar nanobattery for 2D MoS2 crystallite. Planar nanobattery allows the intrinsic electrical conductivity measurement with single crystalline 2D battery electrode upon ion intercalation and deintercalation process, which is lacking in conventional battery characterization techniques. We discovered that with a “rapid-charging” process at the first cycle, the lithiated MoS2 undergoes a drastic resistance decrease, which in a regular lithiation process, the resistance always increases after lithiation at its final stage. This discovery leads to a 2- fold increase in specific capacity with with rapid first lithiated MoS2 composite electrode material, compare with the regular first lithiated MoS2 composite electrode material, at current density of 250 mA/g.

Single-Polarization Double Refraction in Plasmonic Crystals: Considerations on Energy Flow

We examined the optical properties of nanolayered metal-dielectric lattices. At subwavelength regimes, the periodic array of metallic nanofilms demonstrates nonlocality-induced double refraction, conventional positive and as well as negative. In particular, we report on energy-flow considerations concerning both refractive behaviors concurrently. Numerical simulations provide transmittance of individual beams in Ag-TiO2 metamaterials under different configurations. In regimes of the effective-medium theory predicting elliptic dispersion, negative refraction may be stronger than the expected positive refraction.

Light polarization sensitive photodetectors with m- and r-plane homoepitaxial ZnO/ZnMgO quantum wells

Homoepitaxial ZnO/(Zn,Mg)O multiple quantum wells (MQWs) grown with m- and r-plane orientations are used to demonstrate Schottky photodiodes sensitive to the polarization state of light. In both orientations, the spectral photoresponse of the MQW photodiodes shows a sharp excitonic absorption edge at 3.48 eV with a very low Urbach tail, allowing the observation of the absorption from the A, B and C excitonic transitions. The absorption edge energy is shifted by ∼30 and ∼15 meV for the m- and r-plane MQW photodiodes, respectively, in full agreement with the calculated polarization of the A, B, and C excitonic transitions. The best figures of merit are obtained for the m-plane photodiodes, which present a quantum efficiency of ∼11%, and a specific detectivity D* of ∼6.4 × 1010 cm Hz1/2/W. In these photodiodes, the absorption polarization sensitivity contrast between the two orthogonal in-plane axes yields a maximum value of (R⊥/R||)max ∼ 9.9 with a narrow bandwidth of ∼33 meV.

New bodipy dyads for two-photons fluorescence imaging in cells

Fluorescent probes are essential tools for studying biological systems. The last decade has witnessed particular interest in the development of two-photon excitable probes, due to their advantageous features in tissue imaging compared to the corresponding one-photon probes [1]. Recently, we have designed and synthetized an aminonaphthalimide–BODIPY derivative as energy transfer cassettes and were found to show very fast and efficient BODIPY fluorescence sensitization [2]. This was observed upon one- and two-photon excitation, which extends the application range of the investigated bichromophoric dyads in terms of accessible excitation wavelengths. In order to increase the two-photon absorption of the system aminonaphthalimide fluorophore was replace with a Prodan analog (BODIPY dyad 1), which presents found a variety of applications as probes and labels in biology [3]. The two-photon absorption cross-section  of the dyads is significantly incremented by the presence of the 6-acetyl-2-naphthylamine donor group. The emission maximum of a BODIPY fluorophore can significantly be red-shifted in comparison to their precursors by conjugation with aromatic aldehydes. [4] We use a synthetic strategy to obtain BODIPY dyad 2 that incorporates an imidazole ring. This molecule can be used in biological media as a near-neutral pH indicator based on one- and two-photon excitable BODIPY acceptor.

Understanding the role of CAP proteins in the polarization process of C. elegans

La division cellulaire asymétrique est un processus crucial dans le développement des organismes multicellulaires puisqu’elle permet la génération de la diversité cellulaire. Les cellules qui se divisent de façon asymétrique doivent tout d’abord se polariser et correctement orienter leur fuseau mitotique pour ségréger des déterminants cellulaires en deux entités distinctes. L’embryon du nématode C. elegans est un modèle robuste et largement utilisé pour étudier la division cellulaire asymétrique. Dans cet embryon, le point d'entrée du spermatozoïde détermine l'axe de polarité antéro-postérieur. Suite à la fécondation, le cortex embryonnaire est uniformément contractile et un complexe conservé formé des protéines PAR-3, PAR-6 et PKC-3 (nommé complexe PAR-3 ci-dessous) est localisé sur l'ensemble du cortex. La complétion de la méiose maternelle induit une relaxation corticale au postétieur et un flux cortical vers l’antérieur de l’embryon. Ces contractions corticales asymétriques mènent à la formation d'un domaine antérieur contenant le complexe PAR-3, tandis que le cortex postérieur, dont le complexe PAR-3 s’est délocalisé, est enrichi avec les protéines PAR-2 et PAR-1. Par conséquent, les domaines formés par les protéines PAR définissent un pôle antérieur et un pôle postérieur dans l'embryon suite au remodelage du cytosquelette. Les protéines PAR-4 et PAR-5 restent localisées de façon uniforme dans l'embryon. Curieusement, les protéines PAR exercent une régulation par rétroaction sur la contractilité corticale. Il a été montré qu’une des protéines PAR récemment identifiée, PAR-5, est orthologue à la protéine adaptatrice 14-3-3 et joue un rôle important dans la contractilité corticale. En dépit de son rôle central dans la contractilité corticale et le processus de polarisation cellulaire, le mécanisme par lequel PAR-5 régule la contractilité corticale n’est pas bien compris. Le but de ce projet est de mieux comprendre comment PAR-5 et ses interacteurs contrôlent la régulation des contractions corticales et, de ce fait, la polarité cellulaire. Dans un essai de capture de la protéine GST (GST pull-down), nous avons identifié plusieurs nouveaux interacteurs de PAR-5. Parmi ceux-ci, nous avons trouvé CAP-2 (protéine de coiffage de l'actine), qui a été identifiée dans des éxpériences de capture de 14-3-3 dans trois systèmes modèles différents. CAP-2 est un hétérodimère des protéines CAP, qui sont impliquées dans la régulation de l'actine. Nous avons trouvé que la déplétion des protéines CAP par interférence à l’ARN dans des vers de type sauvage mène à une augmentation létalité embryonnaire, ce qui suggère que ces protéines jouent un rôle important dans le développement embryonnaire. L'imagerie en temps réel d'embryons déplétés pour les protéines CAP montre qu’ils ont une diminution des contractions corticales avec un sillon de pseudoclivage mois stable, suggérant un défaut dans la régulation du cytosquelette d'actine-myosine. Ceci a également été confirmé par la diminution de la vitesse et du nombre de foci de NMY-2::GFP. En outre, ces embryons montrent une légère diminution de la taille du croissant cortical de PAR-2 lors de la phase d’établissement de la polarité. Les embryons déplétés en CAP-2 montrent également un retard dans la progression du cycle cellulaire, mais le lien entre ce phénotype et la régulation des contractions corticales reste à être précisé. La caractérisation des protéines CAP, des régulateurs du remodelage du cytosquelette, permettra d'améliorer notre compréhension des mécanismes qui sous-tendent l'établissement et le maintien de la polarité cellulaire, et donc la division cellulaire asymétrique.

CHARACTERIZATION OF THE ATMOSPHERIC EFFECTS ON THE TRANSMISSION OF THERMAL RADIATION

Atmospheric scattering plays a crucial rule in degrading the performance of electro optical imaging systems operating in the visible and infra-red spectral bands, and hence limits the quality of the acquired images, either through reduction of contrast or increase of image blur. The exact nature of light scattering by atmospheric media is highly complex and depends on the types, orientations, sizes and distributions of particles constituting these media, as well as wavelengths, polarization states and directions of the propagating radiation. Here we follow the common approach for solving imaging and propagation problems by treating the propagating light through atmospheric media as composed of two main components: a direct (unscattered), and a scattered component. In this work we developed a detailed model of the effects of absorption and scattering by haze and fog atmospheric aerosols on the optical radiation propagating from the object plane to an imaging system, based on the classical theory of EM scattering. This detailed model is then used to compute the average point spread function (PSF) of an imaging system which properly accounts for the effects of the diffraction, scattering, and the appropriate optical power level of both the direct and the scattered radiation arriving at the pupil of the imaging system. Also, the calculated PSF, properly weighted for the energy contributions of the direct and scattered components is used, in combination with a radiometric model, to estimate the average number of the direct and scattered photons detected at the sensor plane, which are then used to calculate the image spectrum signal to- noise ratio (SNR) in the visible near infra-red (NIR) and mid infra-red (MIR) spectral wavelength bands. Reconstruction of images degraded by atmospheric scattering and measurement noise is then performed, up to the limit imposed by the noise effective cutoff spatial frequency of the image spectrum SNR. Key results of this research are as follows: A mathematical model based on Mie scattering theory for how scattering from aerosols affects the overall point spread function (PSF) of an imaging system was developed, coded in MATLAB, and demonstrated. This model along with radiometric theory was used to predict the limiting resolution of an imaging system as a function of the optics, scattering environment, and measurement noise. Finally, image reconstruction algorithms were developed and demonstrated which mitigate the effects of scattering-induced blurring to within the limits imposed by noise.

Understanding the role of CAP proteins in the polarization process of C. elegans

La division cellulaire asymétrique est un processus crucial dans le développement des organismes multicellulaires puisqu’elle permet la génération de la diversité cellulaire. Les cellules qui se divisent de façon asymétrique doivent tout d’abord se polariser et correctement orienter leur fuseau mitotique pour ségréger des déterminants cellulaires en deux entités distinctes. L’embryon du nématode C. elegans est un modèle robuste et largement utilisé pour étudier la division cellulaire asymétrique. Dans cet embryon, le point d'entrée du spermatozoïde détermine l'axe de polarité antéro-postérieur. Suite à la fécondation, le cortex embryonnaire est uniformément contractile et un complexe conservé formé des protéines PAR-3, PAR-6 et PKC-3 (nommé complexe PAR-3 ci-dessous) est localisé sur l'ensemble du cortex. La complétion de la méiose maternelle induit une relaxation corticale au postétieur et un flux cortical vers l’antérieur de l’embryon. Ces contractions corticales asymétriques mènent à la formation d'un domaine antérieur contenant le complexe PAR-3, tandis que le cortex postérieur, dont le complexe PAR-3 s’est délocalisé, est enrichi avec les protéines PAR-2 et PAR-1. Par conséquent, les domaines formés par les protéines PAR définissent un pôle antérieur et un pôle postérieur dans l'embryon suite au remodelage du cytosquelette. Les protéines PAR-4 et PAR-5 restent localisées de façon uniforme dans l'embryon. Curieusement, les protéines PAR exercent une régulation par rétroaction sur la contractilité corticale. Il a été montré qu’une des protéines PAR récemment identifiée, PAR-5, est orthologue à la protéine adaptatrice 14-3-3 et joue un rôle important dans la contractilité corticale. En dépit de son rôle central dans la contractilité corticale et le processus de polarisation cellulaire, le mécanisme par lequel PAR-5 régule la contractilité corticale n’est pas bien compris. Le but de ce projet est de mieux comprendre comment PAR-5 et ses interacteurs contrôlent la régulation des contractions corticales et, de ce fait, la polarité cellulaire. Dans un essai de capture de la protéine GST (GST pull-down), nous avons identifié plusieurs nouveaux interacteurs de PAR-5. Parmi ceux-ci, nous avons trouvé CAP-2 (protéine de coiffage de l'actine), qui a été identifiée dans des éxpériences de capture de 14-3-3 dans trois systèmes modèles différents. CAP-2 est un hétérodimère des protéines CAP, qui sont impliquées dans la régulation de l'actine. Nous avons trouvé que la déplétion des protéines CAP par interférence à l’ARN dans des vers de type sauvage mène à une augmentation létalité embryonnaire, ce qui suggère que ces protéines jouent un rôle important dans le développement embryonnaire. L'imagerie en temps réel d'embryons déplétés pour les protéines CAP montre qu’ils ont une diminution des contractions corticales avec un sillon de pseudoclivage mois stable, suggérant un défaut dans la régulation du cytosquelette d'actine-myosine. Ceci a également été confirmé par la diminution de la vitesse et du nombre de foci de NMY-2::GFP. En outre, ces embryons montrent une légère diminution de la taille du croissant cortical de PAR-2 lors de la phase d’établissement de la polarité. Les embryons déplétés en CAP-2 montrent également un retard dans la progression du cycle cellulaire, mais le lien entre ce phénotype et la régulation des contractions corticales reste à être précisé. La caractérisation des protéines CAP, des régulateurs du remodelage du cytosquelette, permettra d'améliorer notre compréhension des mécanismes qui sous-tendent l'établissement et le maintien de la polarité cellulaire, et donc la division cellulaire asymétrique.

Constructing topological models by symmetrization: A projected entangled pair states study

Symmetrization of topologically ordered wave functions is a powerful method for constructing new topological models. Here we study wave functions obtained by symmetrizing quantum double models of a group G in the projected entangled pair states (PEPS) formalism. We show that symmetrization naturally gives rise to a larger symmetry group G˜ which is always non-Abelian. We prove that by symmetrizing on sufficiently large blocks, one can always construct wave functions in the same phase as the double model of G˜. In order to understand the effect of symmetrization on smaller patches, we carry out numerical studies for the toric code model, where we find strong evidence that symmetrizing on individual spins gives rise to a critical model which is at the phase transitions of two inequivalent toric codes, obtained by anyon condensation from the double model of G˜.

Quantum Dots As Biophotonics Tools.

This chapter provides a short review of quantum dots (QDs) physics, applications, and perspectives. The main advantage of QDs over bulk semiconductors is the fact that the size became a control parameter to tailor the optical properties of new materials. Size changes the confinement energy which alters the optical properties of the material, such as absorption, refractive index, and emission bands. Therefore, by using QDs one can make several kinds of optical devices. One of these devices transforms electrons into photons to apply them as active optical components in illumination and displays. Other devices enable the transformation of photons into electrons to produce QDs solar cells or photodetectors. At the biomedical interface, the application of QDs, which is the most important aspect in this book, is based on fluorescence, which essentially transforms photons into photons of different wavelengths. This chapter introduces important parameters for QDs' biophotonic applications such as photostability, excitation and emission profiles, and quantum efficiency. We also present the perspectives for the use of QDs in fluorescence lifetime imaging (FLIM) and Förster resonance energy transfer (FRET), so useful in modern microscopy, and how to take advantage of the usually unwanted blinking effect to perform super-resolution microscopy.

Measurement Of Longitudinal Spin Asymmetries For Weak Boson Production In Polarized Proton-proton Collisions At Rhic.

We report measurements of single- and double-spin asymmetries for W^{±} and Z/γ^{*} boson production in longitudinally polarized p+p collisions at sqrt[s]=510  GeV by the STAR experiment at RHIC. The asymmetries for W^{±} were measured as a function of the decay lepton pseudorapidity, which provides a theoretically clean probe of the proton's polarized quark distributions at the scale of the W mass. The results are compared to theoretical predictions, constrained by polarized deep inelastic scattering measurements, and show a preference for a sizable, positive up antiquark polarization in the range 0.05

Corrosion Kinetics And Topography Analysis Of Ti-6al-4v Alloy Subjected To Different Mouthwash Solutions.

This study evaluated the corrosion kinetics and surface topography of Ti-6Al-4V alloy exposed to mouthwash solutions (0.12% chlorhexidine digluconate, 0.053% cetylpyridinium chloride and 3% hydrogen peroxide) compared to artificial saliva (pH6.5) (control). Twenty Ti-6Al-4V alloy disks were used and divided into 4 groups (n=5). For the electrochemical assay, standard tests as open circuit potential and electrochemical impedance spectroscopy (EIS) were applied at baseline, 7 and 14days after immersion in the solutions. Scanning electron microscopy, atomic force microscopy and profilometry (average roughness - Ra) were used for surface characterization. Total weight loss of disks was calculated. Data were analyzed by ANOVA and Bonferroni's test (α=0.05). Hydrogen peroxide generated the lowest polarization resistance (Rp) values for all periods (P<0.05). For the capacitance (Cdl), similar results were observed among groups at baseline (P=0.098). For the 7 and 14-day periods, hydrogen peroxide promoted the highest Cdl values (P<0.0001). Hydrogen peroxide promoted expressive superficial changes and greater Ra values than the others (P<0.0001). It could be concluded that solutions containing cetylpyridinium chloride and chlorhexidine digluconate might be the mouthwashes of choice during the post-operatory period of dental implants. However, hydrogen peroxide is counter-indicated in these situations. Further studies evaluating the dynamics of these solutions (tribocorrosion) and immersing the disks in daily cycles (two or three times a day) to mimic a clinical situation closest to the application of mouthwashes in the oral cavity are warranted to prove our results.

Effect Of Calendula Officinalis Cream On Achilles Tendon Healing.

In recent years, the scientific community has undertaken research on plant extracts, searching for compounds with pharmacological activities that can be used in diverse fields of medicine. Calendula officinalis L. is known to have antioxidant, anti-inflammatory, antibacterial, and wound healing properties when used to treat skin burns. Therefore, the purpose of this study was to analyze the effects of C. officinalis on the initial phase of Achilles tendon healing. Wistar rats were separated in three groups: Calendula (Cal)-rats with a transected tendon were treated with topical applications of C. officinalis cream and then euthanized 7 days after injury; Control (C)-rats were treated with only vehicle after transection; and Normal (N)-rats without tenotomy. Higher concentrations of hydroxyproline (an indicator of total collagen) and non-collagenous proteins were observed in the Cal group in relation to the C group. Zymography showed no difference in the amount of the isoforms of metalloproteinase-2 and of metalloproteinase-9, between C and Cal groups. Polarization microscopy images analysis showed that the Cal group presented a slightly higher birefringence compared with the C group. In sections of tendons stained with toluidine blue, the transected groups presented higher metachromasy as compared with the N group. Immunocytochemistry analysis for chondroitin-6-sulfate showed no difference between the C and Cal groups. In conclusion, the topical application of C. officinalis after tendon transection increases the concentrations of collagen and non-collagenous proteins, as well as the collagen organization in the initial phase of healing.

Biochemical And Morphological Alterations In The Achilles Tendon Of Mdx Mice.

Dystrophin-deficient muscles have repeated cycles of necrosis and regeneration, being susceptible to injury induced by muscle contractions. Some studies have demonstrated that tendons are also affected in mdx mice, based especially on the changes in biomechanical properties arising from the respective linked muscles. However, most studies have focused only on alterations in the myotendinous junction. Thus, the purpose of this work was to study biochemical and morphological alterations in the Achilles tendons of 60-day-old mdx mice. Hydroxyproline quantification, showed higher collagen concentration in the mdx mice as compared with the control. No difference between the tendons of both groups was found in the noncollagenous proteins dosage, and in the amount of collagen type III detected in the western blotting analysis. The zymography for gelatinases detection showed higher amounts of metaloproteinase-2 (active isoform) and of metalloproteinase-9 (latent isoform) in the mdx mice. Measurements of birefringence, using polarization microscopy, showed higher molecular organization of the collagen fibers in the tendons of mdx mice in comparison to the control group, with presence of larger areas of crimp. Ponceau SS-stained tendon sections showed stronger staining of the extracellular matrix in the mdx groups. Toluidine blue-stained sections showed more intense basophilia in tendons of the control group. In morphometry, a higher number of inflammatory cells was detected in the epitendon of mdx group. In conclusion, the Achilles tendon of 60-day-old mdx mice presents higher collagen concentration and organization of the collagen fibers, enhanced metalloproteinase-2 activity, as well as prominent presence of inflammatory cells and lesser proteoglycans.