Quantum entanglement in the two-impurity Kondo model

In order to quantify quantum entanglement in two-impurity Kondo systems, we calculate the concurrence, negativity, and von Neumann entropy. The entanglement of the two Kondo impurities is shown to be determined by two competing many-body effects, namely the Kondo effect and the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction, I. Due to the spin-rotational invariance of the ground state, the concurrence and negativity are uniquely determined by the spin-spin correlation between the impurities. It is found that there exists a critical minimum value of the antiferromagnetic correlation between the impurity spins which is necessary for entanglement of the two impurity spins. The critical value is discussed in relation with the unstable fixed point in the two-impurity Kondo problem. Specifically, at the fixed point there is no entanglement between the impurity spins. Entanglement will only be created [and quantum information processing (QIP) will only be possible] if the RKKY interaction exchange energy, I, is at least several times larger than the Kondo temperature, T-K. Quantitative criteria for QIP are given in terms of the impurity spin-spin correlation.

Entanglement and boundary critical phenomena

We investigate boundary critical phenomena from a quantum-information perspective. Bipartite entanglement in the ground state of one-dimensional quantum systems is quantified using the Renyi entropy S-alpha, which includes the von Neumann entropy (alpha -> 1) and the single-copy entanglement (alpha ->infinity) as special cases. We identify the contribution of the boundaries to the Renyi entropy, and show that there is an entanglement loss along boundary renormalization group (RG) flows. This property, which is intimately related to the Affleck-Ludwig g theorem, is a consequence of majorization relations between the spectra of the reduced density matrix along the boundary RG flows. We also point out that the bulk contribution to the single-copy entanglement is half of that to the von Neumann entropy, whereas the boundary contribution is the same.

Distillability of Werner states using entanglement witnesses and robust semidefinite programs

We use robust semidefinite programs and entanglement witnesses to study the distillability of Werner states. We perform exact numerical calculations that show two-undistillability in a region of the state space, which was previously conjectured to be undistillable. We also introduce bases that yield interesting expressions for the distillability witnesses and for a tensor product of Werner states with an arbitrary number of copies.

Practical limitations in optical entanglement purification

Entanglement purification protocols play an important role in the distribution of entangled systems, which is necessary for various quantum information processing applications. We consider the effects of photodetector efficiency and bandwidth, channel loss and mode mismatch on the operation of an optical entanglement purification protocol. We derive necessary detector and mode-matching requirements to facilitate practical operation of such a scheme, without having to resort to destructive coincidence-type demonstrations.

Dark periods and revivals of entanglement in a two-qubit system

In a recent paper Yu and Eberly [Phys. Rev. Lett. 93, 140404 (2004)] have shown that two initially entangled and afterward not interacting qubits can become completely disentangled in a finite time. We study transient entanglement between two qubits coupled collectively to a multimode vacuum field, assuming that the two-qubit system is initially prepared in an entangled state produced by the two-photon coherences, and find the unusual feature that the irreversible spontaneous decay can lead to a revival of the entanglement that has already been destroyed. The results show that this feature is independent of the coherent dipole-dipole interaction between the atoms but it depends critically on whether or not collective damping is present.

Mixed-state entanglement in the light of pure-state entanglement constrained by superselection rules

We show that the classification of bi-partite pure entangled states when local quantum operations are restricted, e.g., constrained by local superselection rules, yields a structure that is analogous in many respects to that of mixed-state entanglement, including such exotic phenomena as bound entanglement and activation. This analogy aids in resolving several conceptual puzzles in the study of entanglement under restricted operations. Specifically, we demonstrate that several types of quantum optical states that possess confusing entanglement properties are analogous to bound entangled states. Also, the classification of pure-state entanglement under restricted operations can be much simpler than for mixed state entanglement. For instance, in the case of local Abelian superselection rules all questions concerning distillability can be resolved.

Teleportation of an arbitrary two-particle state via entanglement swapping

A scheme of teleportation of an arbitrary two-particle state is presented when two pairs of entangled particles are used as quantum channels. After the Bell state measurements are operated by the sender, the original state with deterministic probability can be reconstructed by the receiver when a corresponding unitary transformation is followed.

Internal deformation and kinematic indicators within a tripartite Mass Transport Deposit, NW Argentina

Acknowledgments This work was carried out with support from CNPq (Conselho Nacional de Desenvolvimento Científico e Tecnológico) – Brazil, BG-Brazil and the University of Aberdeen. We would like to thank the following geologists for their support, camaraderie and countless hours of fieldwork: Claus Fallgatter, Victoria Valdez, Carla Puigdomenech, Guilherme Bozetti, Roberto Noll Filho and Arthur Giovannini, and we thank Lorena Moscardelli and an anonymous reviewer, whose constructive comments helped to improve the manuscript.

Analyse transcriptomique de l'interaction tripartite "Pseudozyma flocculosa-Blumeria graminis f.sp. hordei-Hordeum vulgare"

Afin d’améliorer nos pratiques agricoles dans le contexte d’une agriculture durable, plusieurs agents de lutte biologique (ALB) ont été développés, testés et sont maintenant utilisés dans le monde pour combattre les pertes de rendements causées par les maladies. Blumeria graminis f. sp. hordei ( Bgh) est l’agent pathogène responsable du blanc de l’orge et peut réduire les rendements de cette culture jusqu’à 40%. Un champignon épiphyte, Pseudozyma flocculosa, a été découvert et identifié en 1987 en association étroite avec le blanc du trèfle. Les chercheurs ont alors remarqué que ce champignon exhibait une forte activité antagoniste contre le blanc en détruisant les structures de l’agent pathogène. Suite à d’autres travaux, il est apparu que ce comportement antagoniste était dirigé contre tous les membres des Erysiphales et semblait lié à la synthèse d’un glycolipide antifongique soit la flocculosine. Toutefois, on n’est toujours pas parvenus à associer l’efficacité de l’ALB avec la production de ce glycolipide. Ces observations suggèrent que d’autres facteurs seraient impliqués lorsque les deux protagonistes, l’ALB et le blanc, sont en contact. L’objectif principal de ce projet était donc de chercher d’autres mécanismes moléculaires pouvant expliquer l’interaction P. flocculosa-blanc et orge, en faisant une analyse transcriptomique complète des trois protagonistes en même temps. L’interaction tripartite a été échantillonnée à différents temps suivant l’inoculation de P. flocculosa sur des feuilles d’orge présentant déjà une intensité de blanc d’environ 50%. Les échantillons de feuilles prélevés ont ensuite été utilisés pour l’extraction de l’ARN qui ont été ensuite transformés en ADNc pour la préparation des librairies. Cinq répliquats ont été effectués pour chaque temps et le tout a été séquencé à l’aide de séquençage par synthèse Illumina HiSeq. Les séquences obtenues (reads) ont ensuite été analysées à l’aide du logiciel CLC Genomics Workbench. Brièvement, les séquences obtenues ont été cartographiées sur les trois génomes de référence. Suite à la cartographie, les analyses d’expression ont été conduites et les gènes exprimés de façon différentielle ont été recherchés. Cette étape a été conduite en portant une attention particulière aux gènes codant pour un groupe de protéines appelées CSEP pour “candidate secreted effector proteins” qui seraient possiblement impliquées dans l’interaction tripartite. Parmi les protéines exprimées de façon différentielle en présence du blanc ou en absence de ce dernier, nous avons pu constater que certaines CSEP étaient fortement exprimées en présence du blanc. Ces résultats sont prometteurs et nous offrent une piste certaine pour l’élucidation des mécanismes impliqués dans cette interaction tripartite.

Detecting metrologically useful entanglement in the vicinity of Dicke states

We present a method to verify the metrological usefulness of noisy Dicke states of a particle ensemble with only a few collective measurements, without the need for a direct measurement of the sensitivity. Our method determines the usefulness of the state for the usual protocol for estimating the angle of rotation with Dicke states, which is based on the measurement of the second moment of a total spin component. It can also be used to detect entangled states that are useful for quantum metrology. We apply our method to recent experimental results.

Gaussian entanglement for quantum key distribution from a single-mode squeezing source

We report the suitability of an Einstein-Podolsky-Rosen entanglement source for Gaussian continuous-variable quantum key distribution at 1550 nm. Our source is based on a single continuous-wave squeezed vacuum mode combined with a vacuum mode at a balanced beam splitter. Extending a recent security proof, we characterize the source by quantifying the extractable length of a composable secure key from a finite number of samples under the assumption of collective attacks. We show that distances in the order of 10 km are achievable with this source for a reasonable sample size despite the fact that the entanglement was generated including a vacuum mode. Our security analysis applies to all states having an asymmetry in the field quadrature variances, including those generated by superposition of two squeezed modes with different squeezing strengths.