Simple digital quantum algorithm for symmetric first order linear hyperbolic systems

This paper is devoted to the derivation of a digital quantum algorithm for the Cauchy problem for symmetric first order linear hyperbolic systems, thanks to the reservoir technique. The reservoir technique is a method designed to avoid artificial diffusion generated by first order finite volume methods approximating hyperbolic systems of conservation laws. For some class of hyperbolic systems, namely those with constant matrices in several dimensions, we show that the combination of i) the reservoir method and ii) the alternate direction iteration operator splitting approximation, allows for the derivation of algorithms only based on simple unitary transformations, thus perfectly suitable for an implementation on a quantum computer. The same approach can also be adapted to scalar one-dimensional systems with non-constant velocity by combining with a non-uniform mesh. The asymptotic computational complexity for the time evolution is determined and it is demonstrated that the quantum algorithm is more efficient than the classical version. However, in the quantum case, the solution is encoded in probability amplitudes of the quantum register. As a consequence, as with other similar quantum algorithms, a post-processing mechanism has to be used to obtain general properties of the solution because a direct reading cannot be performed as efficiently as the time evolution.Comment: 28 pages, 12 figures, major rewriting of the section describing the numerical method, simplified the presentation and notation, reorganized the sections, comments are welcome

Beaver Dam Analogs Change Macroinvertebrate Communities in Headwater Streams, Western Montana

Starting in the 17th century, beavers were nearly eradicated from their historic range. Though today their populations are improving, the lack of beaver dams in aquatic systems has left a lasting impact on the environment. As a result, managers of freshwater systems have turned to beaver dam analogs (BDAs) as one technique for stream restoration. BDAs are human constructed structures designed to mimic natural beaver dams and their geomorphic, hydrologic, and ecological effects. Though BDAs have proven to be a useful restoration technique, there has been little research on how they influence macroinvertebrate communities, which serve as a vital food source for fish and to adjacent riparian insectivores such as spiders and birds. My research aims to understand how BDAs influence macroinvertebrate and riparian insectivore communities in three intermountain headwater streams in western Montana by comparing unrestored reference stream segments to BDA-treated segments consisting of complexes of 7-14 BDAs. To understand the ecosystem-level effects of BDAs at these sites, I have collected macroinvertebrates from within the streams (benthic samples), macroinvertebrates leaving the streams (emergence traps) and those falling into the streams (pan traps) along with variables that describe the physical environment. I also conducted spider and bird surveys to assess how BDA influence riparian insectivores which rely on emerging insects for food. I will use these samples to quantify community metrics and compare BDA-treated segments to reference segments using non-metric multidimensional scaling and generalized linear mixed-effects models. Using these methods, BDA-treated segments are shown to have more tolerant taxa usually found in pools compared to reference segments. My research will help scientists and managers understand the impacts of BDAs on linked stream-riparian communities so best practices can be followed as they are considered for stream restoration throughout the western landscape

Tensor Meson Production in Proton-Proton Collisions from the Color Glass Condensate

We compute the inclusive cross-section of $f_{2}$ tensor mesons production in proton-proton collisions at high-energy. We use an effective theory inspired from the tensor meson dominance hypothesis that couples gluons to $f_{2}$ mesons. We compute the differential cross-section in the $k_{\perp}$-factorization and in the Color Glass Condensate formalism in the low density regime. We show that the two formalisms are equivalent for this specific observable. Finally, we study the phenomenology of $f_{2}$ mesons by comparing theoretical predictions of different parameterizations of the unintegrated gluon distribution function. We find that $f_{2}$-meson production is another observable that can be used to put constraints on these distributions.Comment: 26 pages, 3 figures, to be submitted in Phys. Rev.

Family physician involvement in cancer care follow-up: the experience of a cohort of patients with lung cancer.

PURPOSE There has been little research describing the involvement of family physicians in the follow up of patients with cancer especially during the primary treatment phase We undertook a prospective longitudinal study of patients with lung cancer to assess their family physician s involvement in their follow up at the different phases of cancer METHODS In 5 hospitals in the province of Quebec Canada patients with a recent diagnosis of lung cancer were surveyed every 3 to 6 months whether they had metastasis or not, for a maximum of 18 months to assess aspects of their family physician s involvement in cancer care RESULTS Of the 395 participating patients 92% had a regular family physician but only 60% had been referred to a specialist by him/her or a colleague for the diagnosis of their lung cancer A majority of patients identified the oncology team or oncologists as mainly responsible for their cancer care throughout their cancer journey except at the advanced phase where a majority attributed this role to their family physician At baseline only 16% of patients perceived a shared care pattern between their family physician and oncologists but this pro portion increased with cancer progression Most patients would have liked their family physician to be more involved in all aspects of cancer care CONCLUSIONS Although patients perceive that the oncology team is the main party responsible for the follow up of their lung cancer they also wish their family physicians to be involved Better communication and collaboration between family physicians and the oncology team are needed to facilitate shared care in cancer follow u

Ferromagnetism in the Strong Hybridization Regime of the Periodic Anderson Model

We determine exactly the ground state of the one-dimensional periodic Anderson model (PAM) in the strong hybridization regime. In this regime, the low energy sector of the PAM maps into an effective Hamiltonian that has a ferromagnetic ground state for any electron density between half and three quarters filling. This rigorous result proves the existence of a new magnetic state that was excluded in the previous analysis of the mixed valence systems.Comment: Accepted in Phys. Rev.

Bioluminescent Genetically Encoded Glutamate Indicators for Molecular Imaging of Neuronal Activity.

Genetically encoded optical sensors and advancements in microscopy instrumentation and techniques have revolutionized the scientific toolbox available for probing complex biological processes such as release of specific neurotransmitters. Most genetically encoded optical sensors currently used are based on fluorescence and have been highly successful tools for single-cell imaging in superficial brain regions. However, there remains a need to develop new tools for reporting neuronal activity in vivo within deeper structures without the need for hardware such as lenses or fibers to be implanted within the brain. Our approach to this problem is to replace the fluorescent elements of the existing biosensors with bioluminescent elements. This eliminates the need of external light sources to illuminate the sensor, thus allowing deeper brain regions to be imaged noninvasively. Here, we report the development of the first genetically encoded neurotransmitter indicators based on bioluminescent light emission. These probes were optimized by high-throughput screening of linker libraries. The selected probes exhibit robust changes in light output in response to the extracellular presence of the excitatory neurotransmitter glutamate. We expect this new approach to neurotransmitter indicator design to enable the engineering of specific bioluminescent probes for multiple additional neurotransmitters in the future, ultimately allowing neuroscientists to monitor activity associated with a specific neurotransmitter as it relates to behavior in a variety of neuronal and psychiatric disorders, among many other applications