Thermalization, Error-Correction, and Memory Lifetime for Ising Anyon Systems

We consider two-dimensional lattice models that support Ising anyonic excitations and are coupled to a thermal bath. We propose a phenomenological model for the resulting short-time dynamics that includes pair-creation, hopping, braiding, and fusion of anyons. By explicitly constructing topological quantum error-correcting codes for this class of system, we use our thermalization model to estimate the lifetime of the quantum information stored in the encoded spaces. To decode and correct errors in these codes, we adapt several existing topological decoders to the non-Abelian setting. We perform large-scale numerical simulations of these two-dimensional Ising anyon systems and find that the thresholds of these models range between 13% to 25%. To our knowledge, these are the first numerical threshold estimates for quantum codes without explicit additive structure.Comment: 34 pages, 9 figures; v2 matches the journal version and corrects a misstatement about the detailed balance condition of our Metropolis simulations. All conclusions from v1 are unaffected by this correctio

Reproduction of Pratylenchus penetrans on various rotation crops in Quebec

La reproduction du nématode des lésions racinaires Pratylenchus penetrans a été évaluée en serre sur 12 cultures de rotation. La moutarde brune (Brassica juncea) a été la meilleure plante hôte et a augmenté de 17,2 fois la population initiale. Le soja (Glycine max), le millet japonais (Echinochloa frumentacea), le colza (B. napus), le sarrasin (Fagopyrum esculentum), la moutarde blanche (B. hirta), et le raygrass vivace (Lolium perenne) ont été également très efficaces à multiplier le nématode et n'étaient pas significativement différents du seigle (Secale cereale), une plante hôte standard favorable. Le millet d'Italie (Setaria italica), l'avoine (Avena sativa), le maïs (Zea mays), et le brome des prés (Bromus inermis) ont accru respectivement de 5,8, 5,7, 4,5 et 3,2 fois la population initiale mais de façon significativement moindre que le seigle. Le millet perlé fourrager (Pennisetum glaucum) a présenté le plus faible taux de multiplication, soit 0,4. Ces résultats nous indiquent que les cultures de rotation couramment recommandées sont favorables à l'accroissement des populations du P. penetrans dans le sol à l'exception du millet perlé fourrager. Cette culture annuelle a un bon potentiel comme culture de rotation dans la répression des populations du nématode des lésions racinaires au Québec.The reproduction of the root-lesion nematode Pratylenchus penetrans was assessed on 12 rotation crops under greenhouse conditions. Brown mustard (Brassica juncea) was the best host and increased the initial population by 17.2 times. Soybean (Glycine max), Japanese millet (Echinochloa frumentacea), rape (B. napus), buckwheat (Fagopyrum esculentum), white mustard (B. hirta), and perennial ryegrass (Lolium perenne) were also very efficient in multiplying the nematode and were not significantly different from rye (Secale cereale), a standard host crop. Foxtail millet (Setaria italica), oats (Avena sativa), corn (Zea mays), and bromegrass (Bromus inermis) increased the initial population by 5.8, 5.7, 4.5, and 3.2 times respectively, but significantly less than rye. Forage pearl millet (Pennisetum glaucum) was the poorest host with a reproduction rate of 0.4. These results indicate that most commonly recommended rotation crops are suitable for the build up of P. penetrans populations in the soil with the exception of forage pearl millet. This annual crop has a great potential as a rotation crop for controlling the root-lesion nematode in Quebec

Survey of plant-parasitic and entomopathogenic nematodes in vineyards of Quebec

Un inventaire des nématodes phytoparasites et entomopathogènes présents dans des vignobles du Québec a été réalisé dans les régions de l’Estrie et de la Montérégie, les deux principales régions productrices de vignes. Des échantillons de sol provenant de 13 vignobles ont été analysés pour la présence de nématodes phytoparasites et entomopathogènes. Six genres de nématodes phytoparasites ont été observés. Les genres les plus fréquemment retrouvés étaient Pratylenchus et Paratylenchus, lesquels ont été observés dans 85 % des échantillons de sol. Aucun spécimen du genre Xiphinema n’a été retrouvé dans les vignobles. La présence de nématodes entomopathogènes fut notée dans 85 % des vignobles échantillonnés. Des nématodes entomopathogènes de la famille des Steinernematidae ont été observés dans 11 vignobles et des Heterorhabditidae dans un seul vignoble. Tous les isolats de Steinermatidae ont été identifiés comme étant de l’espèce Steinernema carpocapsae.A survey of plant-parasitic and entomopathogenic nematodes associated with vineyards was undertaken in the Estrie and Montérégie regions, the two major grapevine-producing areas in Quebec. Soil samples from 13 sampled vineyards were analyzed for the occurrence of plant-parasitic and entomopathogenic nematodes. Six genera of plant-parasitic nematodes were observed. The most commonly encountered plant-parasitic nematode genera were Pratylenchus and Paratylenchus, both occurring in 85% of sampled vineyards. No Xiphinema sp. were observed in surveyed vineyards. Entomopathogenic nematodes were recovered from 85% of the samples. Heterorhabditid and steinernematid nematodes were isolated from one and 11 vineyards respectively. Steinernematid isolates were identified as Steinernema carpocapsae

Cellular automaton decoders of topological quantum memories in the fault tolerant setting

Active error decoding and correction of topological quantum codes—in particular the toric code—remains one of the most viable routes to large scale quantum information processing. In contrast, passive error correction relies on the natural physical dynamics of a system to protect encoded quantum information. However, the search is ongoing for a completely satisfactory passive scheme applicable to locally interacting two-dimensional systems. Here, we investigate dynamical decoders that provide passive error correction by embedding the decoding process into local dynamics. We propose a specific discrete time cellular-automaton decoder in the fault tolerant setting and provide numerical evidence showing that the logical qubit has a survival time extended by several orders of magnitude over that of a bare unencoded qubit. We stress that (asynchronous) dynamical decoding gives rise to a Markovian dissipative process. We hence equate cellular-automaton decoding to a fully dissipative topological quantum memory, which removes errors continuously. In this sense, uncontrolled and unwanted local noise can be corrected for by a controlled local dissipative process. We analyze the required resources, commenting on additional polylogarithmic factors beyond those incurred by an ideal constant resource dynamical decoder

Re-engineering for revenue New perspectives on creating shareholder value

SIGLEAvailable from British Library Document Supply Centre-DSC:q97/12321 / BLDSC - British Library Document Supply CentreGBUnited Kingdo