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Graph states are the backbone of measurement-based continuous-variable quantum computation. However, experimental realisations of these states induce Gaussian measurement statistics for the field quadratures, which poses a barrier to obtain…

量子物理 · 物理学 2018-11-30 Mattia Walschaers , Supratik Sarkar , Valentina Parigi , Nicolas Treps

The measurement based, or one-way, model of quantum computation for continuous variables uses a highly entangled state called a cluster state to accomplish the task of computing. Cluster states that are universal for computation are a…

量子物理 · 物理学 2019-12-11 Darren W. Moore

Continuous-variable cluster states offer a potentially promising method of implementing a quantum computer. This paper extends and further refines theoretical foundations and protocols for experimental implementation. We give a…

Single layer graphene foils produced by Chemical Vapor Deposition (CVD) are rolled with self-positioned layers of InGaAs/Cr forming compact multi-turn tubular structures that consist on successive graphene/metal/semiconductor…

材料科学 · 物理学 2015-06-19 Ingrid D. Barcelos , Luciano G. Moura , Rodrigo G. Lacerda , Angelo Malachias

The phase of a single-mode field can be measured in a single-shot measurement by interfering the field with an effectively classical local oscillator of known phase. The standard technique is to have the local oscillator detuned from the…

量子物理 · 物理学 2009-10-30 H. M. Wiseman

The purity of graphene samples is of crucial importance for their experimental and practical use. In this regard, the detection of the defects is of direct relevance. Here, we show that structural defects in graphene samples give rise to…

材料科学 · 物理学 2015-10-29 Sandeep K. Jain , Vladimir Juricic , Gerard T. Barkema

With the increased complexity of power systems due to the integration of smart grid technologies and renewable energy resources, more frequent changes have been introduced to system status, and the traditional serial mode of state…

系统与控制 · 计算机科学 2018-03-12 Chen Yuan , Yuqi Zhou , Guofang Zhang , Guangyi Liu , Renchang Dai , Xi Chen , Zhiwei Wang

Enhanced sampling simulations make the computational study of rare events feasible. A large family of such methods crucially depends on the definition of some collective variables (CVs) that could provide a low-dimensional representation of…

计算物理 · 物理学 2026-03-03 Jintu Zhang , Luigi Bonati , Enrico Trizio , Odin Zhang , Yu Kang , TingJun Hou , Michele Parrinello

A picture P of a graph G = (V,E) consists of a point P(v) for each vertex v in V and a line P(e) for each edge e in E, all lying in the projective plane over a field k and subject to containment conditions corresponding to incidence in G. A…

组合数学 · 数学 2007-05-23 Jeremy L. Martin

The paper presents a new model for single channel images low-level interpretation. The image is decomposed into a graph which captures a complete set of structural features. The description allows to accurately identify every edge location…

计算机视觉与模式识别 · 计算机科学 2019-04-23 Alessandro Dal Palu'

A graph theoretic perspective is taken for a range of phenomena in continuum physics in order to develop representations for analysis of large scale, high-fidelity solutions to these problems. Of interest are phenomena described by partial…

计算物理 · 物理学 2019-05-22 R. Banerjee , K. Sagiyama , G. H. Teichert , K. Garikipati

Colouring the vertices of a graph $G$ according to certain conditions can be considered as a random experiment and a discrete random variable $X$ can be defined as the number of vertices having a particular colour in the proper colouring of…

综合数学 · 数学 2017-06-09 N. K. Sudev , S. Satheesh , K. P. Chithra , Johan Kok

Suppose a finite, unweighted, combinatorial graph $G = (V,E)$ is the union of several (degree-)regular graphs which are then additionally connected with a few additional edges. $G$ will then have only a small number of vertices $v \in V$…

组合数学 · 数学 2023-10-25 Tony Zeng

We developed a method of precise isotope labeling to visualize the continuous growth of graphene by chemical vapor deposition (CVD). This method allows us to see in real time the growth of graphene monocrystals at a resolution of a few…

材料科学 · 物理学 2015-09-07 Eric Whiteway , Wayne Yang , Victor Yu , Michael Hilke

Cartoon-texture image decomposition is a critical preprocessing problem bottlenecked by the numerical intractability of classical variational or optimization models and the tedious manual tuning of global regularization parameters.We…

数值分析 · 数学 2026-01-09 Alessandro Lanza , Serena Morigi , Youwei Wen , Li Yang

Although gravitational waves are now routinely observed, the detection of individual gravitons has long been regarded as impossible. Recent work, however, has demonstrated that single-graviton detection can be achieved and may be feasible…

量子物理 · 物理学 2026-02-11 Kristian Toccacelo , Thomas Beitel , Ulrik Lund Andersen , Igor Pikovski

The graphicality problem -- whether or not a sequence of integers can be used to create a simple graph -- is a key question in network theory and combinatorics, with many important practical applications. In this work, we study the…

无序系统与神经网络 · 物理学 2026-01-01 Pietro Valigi , M. Ángeles Serrano , Claudio Castellano , Lorenzo Cirigliano

We study the complexity of graph modification problems with respect to homomorphism-based colouring properties of edge-coloured graphs. A homomorphism from edge-coloured graph $G$ to edge-coloured graph $H$ is a vertex-mapping from $G$ to…

数据结构与算法 · 计算机科学 2022-05-04 Florent Foucaud , Hervé Hocquard , Dimitri Lajou , Valia Mitsou , Théo Pierron

Incorporating graphs in the analysis of multivariate signals is becoming a standard way to understand the interdependency of activity recorded at different sites. The new research frontier in this direction includes the important problem of…

社会与信息网络 · 计算机科学 2018-12-11 Keith Smith , Loukianos Spyrou , Javier Escudero

Random geometric graphs (RGG) can be formalized as hidden-variables models where the hidden variables are the coordinates of the nodes. Here we develop a general approach to extract the typical configurations of a generic hidden-variables…

无序系统与神经网络 · 物理学 2015-04-28 Massimo Ostilli , Ginestra Bianconi