Topic
Hadamard transform
About: Hadamard transform is a research topic. Over the lifetime, 7262 publications have been published within this topic receiving 94328 citations.
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TL;DR: The close Hadamard problem can be solved in the spin system model with arbitrarily small error probability in a constant number of oracle queries and it is proved that this model of quantum computation is suitable for solving certain types of problems.
Abstract: We study a model of quantum computation based on the continuously parameterized yet finite-dimensional Hilbert space of a spin system. We explore the computational powers of this model by analyzing a pilot problem we refer to as the close Hadamard problem. We prove that the close Hadamard problem can be solved in the spin system model with arbitrarily small error probability in a constant number of oracle queries. We conclude that this model of quantum computation is suitable for solving certain types of problems. The model is effective for problems where symmetries between the structure of the information associated with the problem and the structure of the unitary operators employed in the quantum algorithm can be exploited.
26 citations
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TL;DR: These techniques have the potential to reduce the RF pulse power to the levels used in continuous wave (CW) EPR while retaining the advantage of time-domain EPR methods.
26 citations
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TL;DR: In this article, the authors investigate certain inequalities for generalized h-convexity on fractal sets R α, which are related to the famous Fejer-Hermite-Hadamard inequality.
Abstract: This article aims to investigate certain inequalities for generalized h-convexity on fractal sets R α , which are related to the famous Fejer–Hermite–Hadamard inequality. For this purpose, two identities for local differentiable mappings are established, based on which we provide certain estimates for the difference between the left and middle part as well as that of the middle and right part in the Fejer–Hermite–Hadamard inequality. Furthermore, we present five examples to illustrate the obtained results. As applications related to local fractional integrals, we construct several inequalities for random variables, cumulative distribution functions and numerical integrations.
26 citations
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TL;DR: In this article, the error estimates of the numerical methods for solving linear fractional differential equations proposed in Diethelm 6 where a first-degree compound quadrature formula was used to approximate the Hadamard finite-part integral and the convergence order of the proposed numerical method is O ( Δ t 2 - α ), 0 < α < 1, where α is the order of fractional derivative and Δt is the step size.
26 citations
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TL;DR: An inexact proximal point algorithm concerned with the singularity of maximal monotone vector fields is introduced and studied on Hadamard manifolds, in which a relative error tolerance with squared summable error factors is considered.
26 citations