Results 51 to 60 of about 1,220 (199)
Space‐Efficient Logical Qubit Architecture with a Bus for Magic State Consumption
Advanced Quantum Technologies, EarlyView.This paper proposes a logical qubit architecture, considering the consumption of magic states. By constructing the patch to the magic state using the repetition code and data qubits using the surface code, the proposed architecture minimizes the number of qubits, referred to as the space cost.
Yujin Kang, Youshin Chung, Jun Heo
wiley +1 more source
Journal of Function SpacesIn this paper, we investigate the quantitative two-weight boundedness for iterated commutators of multilinear fractional operators with Lα,r′-Hörmander conditions. The analysis relies heavily on sparse domination techniques for the operators.
Zhidan Wang, Chunmei Zhang
doaj +1 more source
Journal of Inequalities and Applications, 2017 In this paper, we first introduce some new Morrey-type spaces containing generalized Morrey space and weighted Morrey space with two weights as special cases. Then we give the weighted strong type and weak type estimates for fractional integral operators
Hua Wang
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MATHEMATICA SCANDINAVICA, 1988 Let \({\mathcal B}\) be a Banach space, \(\sigma\) a \(C_ 0\)-group of isometries of \({\mathcal B}\) with generator \(H\), and \({\mathcal D}\subseteq D(H)\) a \(\sigma\)-invariant core of \(H\). Suppose \(K:{\mathcal D}\to {\mathcal B}\) is a dissipative operator satisfying \[ 1.\quad \| Ka\| \leq k_ 0(\| Ha\| \vee \| a\|),\quad a\in {\mathcal D}, \]
Batty, Charles J.K., Robinson, Derek W.
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A Resource Efficient Ising Model‐Based Quantum Sudoku Solver
Software: Practice and Experience, EarlyView.ABSTRACT Background Quantum algorithms exploit superposition and parallelism to address complex combinatorial problems, many of which fall into the non‐polynomial (NP) class. Sudoku, a widely known logic‐based puzzle, is proven to be NP‐complete and thus presents a suitable testbed for exploring quantum optimization approaches.
Wen‐Li Wang +5 more
wiley +1 more source
Bloom-type two-weight inequalities for commutators of maximal functions
Analysis and Geometry in Metric SpacesWe study Bloom-type two-weight inequalities for commutators of the Hardy-Littlewood maximal function and sharp maximal function. Some necessary and sufficient conditions are given to characterize the two-weight inequalities for such commutators.
Zhang Pu, Fan Di
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Weighted multilinear p-adic Hardy operators and commutators
Open Mathematics, 2017 In this paper, the weighted multilinear p-adic Hardy operators are introduced, and their sharp bounds are obtained on the product of p-adic Lebesgue spaces, and the product of p-adic central Morrey spaces, the product of p-adic Morrey spaces ...
Liu Ronghui, Zhou Jiang
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Journal of Inequalities and Applications, 2016 Let T b → $T_{\vec{b}}$ and T Π b $T_{\Pi b}$ be the commutators in the jth entry and iterated commutators of the multilinear Calderón-Zygmund operators, respectively.
Zhengyang Li, Qingying Xue
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Information Dynamics and Learning in Complex Adaptive Systems: Toward a Transdisciplinary Framework
Systems Research and Behavioral Science, EarlyView.ABSTRACT This article develops a framework for understanding learning and adaptation in complex adaptive systems. Drawing from neuroscience, systems theory, information theory and quantum field theory, it examines how information processing, plasticity and systemic coherence emerge from distributed, nonlinear and feedback‐driven interactions. It argues
Anderson de Souza Sant'Anna
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Generalized Local Morrey Spaces Associated with Ball Banach Function Spaces and Their Application
AxiomsThis paper is devoted to the analysis of boundedness for fractional integral operators, Calderón–Zygmund singular integral operators, and their corresponding commutators on generalized local Morrey spaces associated with ball Banach function spaces ...
Feiyang Zhang, Jiang Zhou
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