117 research outputs found

    Exact results for the Barabasi model of human dynamics

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    Human activity patterns display a bursty dynamics, with interevent times following a heavy tailed distribution. This behavior has been recently shown to be rooted in the fact that humans assign their active tasks different priorities, a process that can be modeled as a priority queueing system [A.-L. Barabasi, Nature 435, 207 (2005)]. In this work we obtain exact results for the Barabasi model with two tasks, calculating the priority and waiting time distribution of active tasks. We demonstrate that the model has a singular behavior in the extremal dynamics limit, when the highest priority task is selected first. We find that independently of the selection protocol, the average waiting time is smaller or equal to the number of active tasks, and discuss the asymptotic behavior of the waiting time distribution. These results have important implications for understanding complex systems with extremal dynamics.Comment: 4 pages, 4 figures, revte

    Characterization of a two-transmon processor with individual single-shot qubit readout

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    We report the characterization of a two-qubit processor implemented with two capacitively coupled tunable superconducting qubits of the transmon type, each qubit having its own non-destructive single-shot readout. The fixed capacitive coupling yields the \sqrt{iSWAP} two-qubit gate for a suitable interaction time. We reconstruct by state tomography the coherent dynamics of the two-bit register as a function of the interaction time, observe a violation of the Bell inequality by 22 standard deviations after correcting readout errors, and measure by quantum process tomography a gate fidelity of 90%

    Storage and Retrieval of a Microwave Field in a Spin Ensemble

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    We report the storage and retrieval of a small microwave field from a superconducting resonator into collective excitations of a spin ensemble. The spins are nitrogen-vacancy centers in a diamond crystal. The storage time of the order of 30 ns is limited by inhomogeneous broadening of the spin ensemble.Comment: 4 pages + supplementary material. Submitted to PR

    Circuit QED with a Nonlinear Resonator : ac-Stark Shift and Dephasing

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    We have performed spectroscopic measurements of a superconducting qubit dispersively coupled to a nonlinear resonator driven by a pump microwave field. Measurements of the qubit frequency shift provide a sensitive probe of the intracavity field, yielding a precise characterization of the resonator nonlinearity. The qubit linewidth has a complex dependence on the pump frequency and amplitude, which is correlated with the gain of the nonlinear resonator operated as a small-signal amplifier. The corresponding dephasing rate is found to be close to the quantum limit in the low-gain limit of the amplifier.Comment: Paper : 4 pages, 3 figures; Supplementary material : 1 page, 1 figur

    Role of Activity in Human Dynamics

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    The human society is a very complex system; still, there are several non-trivial, general features. One type of them is the presence of power-law distributed quantities in temporal statistics. In this Letter, we focus on the origin of power-laws in rating of movies. We present a systematic empirical exploration of the time between two consecutive ratings of movies (the interevent time). At an aggregate level, we find a monotonous relation between the activity of individuals and the power-law exponent of the interevent-time distribution. At an individual level, we observe a heavy-tailed distribution for each user, as well as a negative correlation between the activity and the width of the distribution. We support these findings by a similar data set from mobile phone text-message communication. Our results demonstrate a significant role of the activity of individuals on the society-level patterns of human behavior. We believe this is a common character in the interest-driven human dynamics, corresponding to (but different from) the universality classes of task-driven dynamics.Comment: 5 pages, 6 figures. Accepted by EP

    Структура и свойства керамических композитов, модифицированных углеродными нанотрубками и нановолокнами Al2O3

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    Работа направлена на установление закономерности влияния вводимых добавок одностенных/многостенных УНТ и нановолокон Al2O3 на структуру, фазовый состав и физико-механические свойства композитов на основе оксидов алюминия и циркония. Показано, что использование УНТ и нановолокон Al2O3 при изготовлении композитов, может приводить к существенному повышению трещиностойкость керамических материалов. Кроме того, варьируя концентрацию вводимых добавок, можно получать оптимальные свойства керамических композитов для конкретных применений.The work is aimed at establishing the regularity of the influence of the introduced additives of single-wall/multi-walled CNTs and Al2O3 nanofibers on the structure, phase composition, and mechanical properties of composites based on alumina and zirconia. It is shown that the use of CNTs and Al2O3 nanofibers in the manufacture of composites can lead to a significant increase in the fracture toughness of ceramic materials. In addition, by varying the concentration of the added additives, it is possible to obtain the optimal properties of ceramic composites for specific applications

    Modeling bursts and heavy tails in human dynamics

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    Current models of human dynamics, used from risk assessment to communications, assume that human actions are randomly distributed in time and thus well approximated by Poisson processes. We provide direct evidence that for five human activity patterns the timing of individual human actions follow non-Poisson statistics, characterized by bursts of rapidly occurring events separated by long periods of inactivity. We show that the bursty nature of human behavior is a consequence of a decision based queuing process: when individuals execute tasks based on some perceived priority, the timing of the tasks will be heavy tailed, most tasks being rapidly executed, while a few experiencing very long waiting times. We discuss two queueing models that capture human activity. The first model assumes that there are no limitations on the number of tasks an individual can hadle at any time, predicting that the waiting time of the individual tasks follow a heavy tailed distribution with exponent alpha=3/2. The second model imposes limitations on the queue length, resulting in alpha=1. We provide empirical evidence supporting the relevance of these two models to human activity patterns. Finally, we discuss possible extension of the proposed queueing models and outline some future challenges in exploring the statistical mechanisms of human dynamics.Comment: RevTex, 19 pages, 8 figure

    Hybrid quantum circuit with a superconducting qubit coupled to a spin ensemble

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    We report the experimental realization of a hybrid quantum circuit combining a superconducting qubit and an ensemble of electronic spins. The qubit, of the transmon type, is coherently coupled to the spin ensemble consisting of nitrogen-vacancy (NV) centers in a diamond crystal via a frequency-tunable superconducting resonator acting as a quantum bus. Using this circuit, we prepare arbitrary superpositions of the qubit states that we store into collective excitations of the spin ensemble and retrieve back later on into the qubit. These results constitute a first proof of concept of spin-ensemble based quantum memory for superconducting qubits.Comment: 13 pages, 4 figures, plus supplementary informatio

    Avaliação de quatro genótipos de trevo branco.

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    O objetivo do trabalho foi selecionar plantas de trevo branco de quatro genótipos visando o desenvolvimento de cultivar sintética, avaliando-se características das plantas como persistência, comprimento do estolão e vigor.Claudia Cristina Gulias Gomes, editora técnica
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