Cat-qubit-inspired gate on cos(2θ2\theta) qubits

For $\cos(2\theta)$ qubits based on voltage-controlled semiconductor nanowire Josephson junctions we introduce a single-qubit $Z$ gate inspired by the noise-bias preserving gate of the Kerr-cat qubit. This scheme relies on a $\pi$ rotation in phase space via a beamsplitter-like transformation between a qubit and ancilla qubit. The rotation is implemented by adiabatically changing the potential energies of the two qubits such as to preserve a double-well potential at all times. This gate constrains the dynamics in the subspace of a $\cos(2\theta)$ qubit at all times, therefore yielding high-fidelity operation while preserving the qubit's coherence. We introduce a circuit to realize this gate and support our findings with numerical simulations.Comment: 12 pages, 9 figure

La genèse des objets idéaux dans la phénoménologie tardive de Husserl

Mémoire numérisé par la Division de la gestion de documents et des archives de l'Université de Montréal

Méthode bayésienne de détection de rupture et/ou de tendance pour des données temporelles

Ce mémoire a pour but de déterminer des nouvelles méthodes de détection de rupture et/ou de tendance. Après une brève introduction théorique sur les splines, plusieurs méthodes de détection de rupture existant déjà dans la littérature seront présentées. Puis, de nouvelles méthodes de détection de rupture qui utilisent les splines et la statistique bayésienne seront présentées. De plus, afin de bien comprendre d’où provient la méthode utilisant la statistique bayésienne, une introduction sur la théorie bayésienne sera présentée. À l’aide de simulations, nous effectuerons une comparaison de la puissance de toutes ces méthodes. Toujours en utilisant des simulations, une analyse plus en profondeur de la nouvelle méthode la plus efficace sera effectuée. Ensuite, celle-ci sera appliquée sur des données réelles. Une brève conclusion fera une récapitulation de ce mémoire.This thesis aims to identify new change-point detection methods and/or trend in temporal data. After a brief theoretical introduction on splines, several existing change-point detection already in the literature will be presented. Then, new change-point detection methods using splines and Bayesian statistics will be presented. Moreover, in order to understand the method using Bayesian statistics, an introduction to Bayesian theory will be presented. Using simulations, we will make a comparison of the power of all these methods. Still using simulations, an analysis of the new most effective method will be performed. Then, this method will be applied to real data. A brief conclusion will make a summary of this thesis

Caractérisation de la sous-unité bêta du translocon chez la levure Schizosaccharomyces pombe

La sécrétion des protéines est un processus essentiel à la vie. Chez les eucaryotes, les protéines sécrétées transitent dans le réticulum endoplasmique par le pore de translocation. Le translocon est composé de trois sous-unités fondamentales nommées Sec61α, β et γ chez les mammifères, ou Sec61p, Sbh1p et Sss1p chez les levures. Tandis que le rôle des sous-unités α et γ est bien connu, celui de la sous-unité β demeure énigmatique. Plusieurs phénotypes distincts sont associés à cette protéine dans différents organismes, mais le haut niveau de conservation de séquence suggère plutôt une fonction universelle conservée. Récemment, Feng et al. (2007) ont montré que le domaine transmembranaire (TMD) de Sbh1p était suffisant pour complémenter plusieurs phénotypes associés à la délétion du gène chez Saccharomyces cerevisiae, suggérant un rôle important de cette région. L’objectif de mon projet de recherche consiste à étudier la fonction biologique de la sous-unité β du translocon et de son TMD chez Schizosaccharomyces pombe. Dans cette levure, j’ai découvert que le gène sbh1+ n’était pas essentiel à la viabilité à 30oC, mais qu’il était requis pour la croissance à basse température. La délétion de sbh1+ entraîne une sensibilité aux stress de la paroi cellulaire et une diminution de la sécrétion des protéines à 23oC. La surexpression de Sbh1p diminue elle aussi la sécrétion des protéines et altère la morphologie cellulaire. Ces phénotypes sont distincts de ceux observés chez S. cerevisiae, où la délétion des deux paralogues de Sec61β entraîne une sensibilité à haute température plutôt qu’à basse température. Malgré cela, les homologues de Sec61β de S. pombe et de S. cerevisiae sont tout deux capables de complémenter la thermosensibilité respective de chaque levure. La complémentation est possible même avec l’homologue humain de Sec61β, indiquant la conservation d’une fonction de Sec61β de la levure à l’homme. Remarquablement, le TMD de Sec61β de S. pombe, de S. cerevisiae et de l’humain sont suffisants pour complémenter la délétion génomique autant chez la levure à fission que chez la levure à bourgeons. Globalement, ces observations indiquent que le TMD de Sec61β exerce une fonction cellulaire conservée à travers les espèces.Protein secretion is an essential biological process. In eukaryotes, secreted proteins transit into the endoplasmic reticulum through the translocon pore. The core of the translocation channel is composed of three subunits called Sec61α, β and γ in mammals, or Sec61p, Sbh1p and Sss1p in yeasts. While the role of the α and γ subunit is well understood, the function of the β subunit remains ill-defined. Although numerous species-specific phenotypes have been reported for this protein, the striking sequence conservation among species argue in favour of a universal role. Recently, Feng et al. (2007) reported the surprising finding that the transmembrane domain (TMD) of Sbh1p was sufficient to complement different functions of the entire protein in Saccharomyces cerevisiae, suggesting an important role for this region. The aim of my project was to explore the biological function of the translocon β subunit and its TMD in Schizosaccharomyces pombe. In this yeast, we found that the sbh1+ gene is unessential for viability at 30oC, but is required for growth at low temperature. Knockout of sbh1+ results in sensitivity to cell-wall stress and reduced protein secretion at 23oC. Overexpression of Sbh1p also diminishes protein secretion and results in an elongated cell shape. These phenotypes contrast with those observed S. cerevisiae, as deletion of both Sec61β paralogs in this yeast results in heat sensitivity instead of cold sensitivity. Nevertheless, Sec61β homologs from both S. pombe and S. cerevisiae complement the respective temperature sensitivity of either yeast. This functional complementation can also be accomplished by the human homolog of the translocon β subunit, indicating that a fundamental function of Sec61β is conserved from yeast to human. Remarkably, the TMD of Sec61β homologs from S. pombe, S. cerevisiae and human are sufficient to complement the gene knockout in both fission and budding yeasts. Together, these observations indicate that the TMD of Sec61β exerts a cellular function that is conserved across species

Calnexin Regulates Apoptosis Induced by Inositol Starvation in Fission Yeast

Inositol is a precursor of numerous phospholipids and signalling molecules essential for the cell. Schizosaccharomyces pombe is naturally auxotroph for inositol as its genome does not have a homologue of the INO1 gene encoding inositol-1-phosphate synthase, the enzyme responsible for inositol biosynthesis. In this work, we demonstrate that inositol starvation in S. pombe causes cell death with apoptotic features. This apoptotic death is dependent on the metacaspase Pca1p and is affected by the UPR transducer Ire1p. Previously, we demonstrated that calnexin is involved in apoptosis induced by ER stress. Here, we show that cells expressing a lumenal version of calnexin exhibit a 2-fold increase in the levels of apoptosis provoked by inositol starvation. This increase is reversed by co-expression of a calnexin mutant spanning the transmembrane domain and C-terminal cytosolic tail. Coherently, calnexin is physiologically cleaved at the end of its lumenal domain, under normal growth conditions when cells approach stationary phase. This cleavage suggests that the two naturally produced calnexin fragments are needed to continue growth into stationary phase and to prevent cell death. Collectively, our observations indicate that calnexin takes part in at least two apoptotic pathways in S. pombe, and suggest that the cleavage of calnexin has regulatory roles in apoptotic processes involving calnexin

Abstract Fixpoint Computations with Numerical Acceleration Methods

Static analysis by abstract interpretation aims at automatically proving properties of computer programs. To do this, an over-approximation of program semantics, defined as the least fixpoint of a system of semantic equations, must be computed. To enforce the convergence of this computation, widening operator is used but it may lead to coarse results. We propose a new method to accelerate the computation of this fixpoint by using standard techniques of numerical analysis. Our goal is to automatically and dynamically adapt the widening operator in order to maintain precision

Accurate methods for the analysis of strong-drive effects in parametric gates

The ability to perform fast, high-fidelity entangling gates is an important requirement for a viable quantum processor. In practice, achieving fast gates often comes with the penalty of strong-drive effects that are not captured by the rotating-wave approximation. These effects can be analyzed in simulations of the gate protocol, but those are computationally costly and often hide the physics at play. Here, we show how to efficiently extract gate parameters by directly solving a Floquet eigenproblem using exact numerics and a perturbative analytical approach. As an example application of this toolkit, we study the space of parametric gates generated between two fixed-frequency transmon qubits connected by a parametrically driven coupler. Our analytical treatment, based on time-dependent Schrieffer-Wolff perturbation theory, yields closed-form expressions for gate frequencies and spurious interactions, and is valid for strong drives. From these calculations, we identify optimal regimes of operation for different types of gates including $i$SWAP, controlled-Z, and CNOT. These analytical results are supplemented by numerical Floquet computations from which we directly extract drive-dependent gate parameters. This approach has a considerable computational advantage over full simulations of time evolutions. More generally, our combined analytical and numerical strategy allows us to characterize two-qubit gates involving parametrically driven interactions, and can be applied to gate optimization and cross-talk mitigation such as the cancellation of unwanted ZZ interactions in multi-qubit architectures.Comment: 20 pages, 9 figures, 62 reference

“Dogged” Search of Fresh Nakhla Surfaces Reveals New Alteration Textures

Special Issue: 74th Annual Meeting of the Meteoritical Society, August 8-12, 2011, London, U.K.International audienceCarbonaceous chondrites are considered as amongst the most primitive Solar System samples available. One of their primitive characteristics is their enrichment in volatile elements.This includes hydrogen, which is present in hydrated and hydroxylated minerals. More precisely, the mineralogy is expected to be dominated by phyllosilicates in the case of CM chondrites, and by Montmorillonite type clays in the case of CI. Here, in order to characterize and quantify the abundance of lowtemperature minerals in carbonaceous chondrites, we performed thermogravimetric analysis of matrix fragments of Tagish Lake, Murchison and Orgueil