96 research outputs found

    Source-independent quantum random number generation

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    Quantum random number generators can provide genuine randomness by appealing to the fundamental principles of quantum mechanics. In general, a physical generator contains two parts---a randomness source and its readout. The source is essential to the quality of the resulting random numbers; hence, it needs to be carefully calibrated and modeled to achieve information-theoretical provable randomness. However, in practice, the source is a complicated physical system, such as a light source or an atomic ensemble, and any deviations in the real-life implementation from the theoretical model may affect the randomness of the output. To close this gap, we propose a source-independent scheme for quantum random number generation in which output randomness can be certified, even when the source is uncharacterized and untrusted. In our randomness analysis, we make no assumptions about the dimension of the source. For instance, multiphoton emissions are allowed in optical implementations. Our analysis takes into account the finite-key effect with the composable security definition. In the limit of large data size, the length of the input random seed is exponentially small compared to that of the output random bit. In addition, by modifying a quantum key distribution system, we experimentally demonstrate our scheme and achieve a randomness generation rate of over 5×1035\times 10^3 bit/s.Comment: 11 pages, 7 figure

    Localization and Regularity of the Integrated Density of States for Schr\"odinger Operators on Zd\mathbb{Z}^d with C2C^2-cosine Like Quasi-periodic Potential

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    In this paper, we study the multidimensional lattice Schr\"odinger operators with C2C^2-cosine like quasi-periodic (QP) potential. We establish quantitative Green's function estimates, the arithmetic version of Anderson (and dynamical) localization, and the finite volume version of (12−)(\frac 12-)-H\"older continuity of the integrated density of states (IDS) for such QP Schr\"odinger operators. Our proof is based on an extension of the fundamental multi-scale analysis (MSA) type method of Fr\"ohlich-Spencer-Wittwer [\textit{Comm. Math. Phys.} 132 (1990): 5--25] to the higher lattice dimensions. We resolve the level crossing issue on eigenvalues parameterizations in the case of both higher lattice dimension and C2C^2 regular potential.Comment: 63 pages, to appear in CM

    On the spectrum of quasi-periodic Schr\"odinger operators on Zd\mathbb{Z}^d with C2C^2-cosine type potentials

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    In this paper, we establish the Anderson localization, strong dynamical localization and the (12−)(\frac 12-)-H\"older continuity of the integrated density of states (IDS) for some multi-dimensional discrete quasi-periodic (QP) Schr\"odinger operators with asymmetric C2C^2-cosine type potentials. To this end, we develop an approach based on Green's function estimates to handle asymmetric Rellich functions with collapsed gaps.Comment: Comments welcome. 75 page

    A DESIGN SCIENCE ENABLED ORGANIZATIONAL CAPABILITY STATE MEASUREMENT APPROACH

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    Organizational capability plays a critical role in creating and maintaining an organization's competitive advantage. It enables organizations to develop and implement organizational strategies and business models. However, the measurement of the organizational capability to assist the prediction of organizational performance remains a challenging task. It is especially challenging for organizations with limited resources, such as monetary resources, time and the expertise to organizational capability and instrument for measuring organizational capability. The challenge is two-fold. Firstly, organizational capability measurement aims to predict organizational performance rooted in individual performance. However, it is challenging to find a practical framework that links individual performance with organizational performance and guides the organizational capability measurement by considering the individual factors. Secondly, the questionnaire is widely used for measuring individual knowledge, attitudes, emotion and perceptions. However, questionnaire design methods are still very ill-defined processes that the generation of items heavily relies on the experience of experts or the questionnaires designed by other researchers about a similar topic. This research aims to provide an organizational capability state (OCS) model and develop a framework for questionnaire design using a design methodology — Environment Based Design (EBD). The primitive factors for OCS are organizational members’ knowledge, skills and the perception of workload and affect. The questionnaire design framework achieves the OCS measurement by developing a questionnaire for assessing organizational members’ knowledge, skills, perception, affect and goal. With two case studies, the framework of questionnaire design is proved to be effective in questionnaire design. The combination of the OCS model and questionnaire design framework enables a cost-effective and less expert-dependent measurement of organizational capability

    A Parallel Feature-preserving Mesh Variable Offsetting Method with Dynamic Programming

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    Mesh offsetting plays an important role in discrete geometric processing. In this paper, we propose a parallel feature-preserving mesh offsetting framework with variable distance. Different from the traditional method based on distance and normal vector, a new calculation of offset position is proposed by using dynamic programming and quadratic programming, and the sharp feature can be preserved after offsetting. Instead of distance implicit field, a spatial coverage region represented by polyhedral for computing offsets is proposed. Our method can generate an offsetting model with smaller mesh size, and also can achieve high quality without gaps, holes, and self-intersections. Moreover, several acceleration techniques are proposed for the efficient mesh offsetting, such as the parallel computing with grid, AABB tree and rays computing. In order to show the efficiency and robustness of the proposed framework, we have tested our method on the quadmesh dataset, which is available at [https://www.quadmesh.cloud]. The source code of the proposed algorithm is available on GitHub at [https://github.com/iGame-Lab/PFPOffset]
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