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Due to cost concerns, it is optimal to gain insight into the connectivity of biological and other networks using as few experiments as possible. Data selection for unique network connectivity identification has been an open problem since…

Algebraic Geometry · Mathematics 2022-12-14 Alan Veliz-Cuba , Vanessa Newsome-Slade , Elena S. Dimitrova

Consider equal antiferromagnetic Heisenberg interactions between qubits forming a complex, nonbipartite network. We ask the question: How does the network topology determine the net magnetization of the ground state and to what extent is it…

Disordered Systems and Neural Networks · Physics 2025-10-13 Preethi Gopalakrishnan , Shovan Dutta

There are different preparable quantum states in different network structures. The four nodes as a whole has two situations: one is the four nodes in a plane, the other is the four nodes in the space. In this paper, we obtain some…

Quantum Physics · Physics 2022-07-15 Yanwen Liang , Fengli Yan , Ting Gao

We use complex network theory to study a class of continuous-variable quantum states that present both multipartite entanglement and non-Gaussian statistics. We consider the intermediate scale of several dozens of components at which such…

Quantum Physics · Physics 2022-09-13 Mattia Walschaers , Nicolas Treps , Bhuvanesh Sundar , Lincoln D. Carr , Valentina Parigi

We propose a scheme for the determination of the coupling parameters in a chain of interacting spins. This requires only time-resolved measurements over a single particle, simple data post-processing and no state initialization or prior…

Quantum Physics · Physics 2009-05-12 C. Di Franco , M. Paternostro , M. S. Kim

Quantum network is fragile to disturbances when qubits are transmitted through quantum channel. Reliability is an essential requirement for a quantum network and even the future quantum internet. A metric is needed to describe the…

Quantum Physics · Physics 2020-04-27 Ying Liu

Bayesian neural networks (BNNs) augment deep networks with uncertainty quantification by Bayesian treatment of the network weights. However, such models face the challenge of Bayesian inference in a high-dimensional and usually…

Machine Learning · Computer Science 2021-03-30 Zhijie Deng , Yucen Luo , Jun Zhu , Bo Zhang

Interacting spin networks are fundamental to quantum computing. Data-based tomography of time-independent spin networks has been achieved, but an open challenge is to ascertain the structures of time-dependent spin networks using time…

Quantum Physics · Physics 2021-12-15 Chen-Di Han , Bryan Glaz , Mulugeta Haile , Ying-Cheng Lai

The topology of classical networks is determined by physical links between nodes, and after a network request the links are used to establish the desired connections. Quantum networks offer the possibility to generate different kinds of…

Quantum Physics · Physics 2023-02-15 Jorge Miguel-Ramiro , Alexander Pirker , Wolfgang Dür

Complex networks structures have been extensively used for describing complex natural and technological systems, like the Internet or social networks. More recently complex network theory has been applied to quantum systems, where complex…

Quantum Physics · Physics 2020-01-22 Francesca Sansavini , Valentina Parigi

Neural quantum states are a new family of variational ans\"atze for quantum-many body wave functions with advantageous properties in the notoriously challenging case of two spatial dimensions. Since their introduction a wide variety of…

Strongly Correlated Electrons · Physics 2023-05-24 Moritz Reh , Markus Schmitt , Martin Gärttner

Graph structures are ubiquitous throughout the natural sciences. Here we consider graph-structured quantum data and describe how to carry out its quantum machine learning via quantum neural networks. In particular, we consider training data…

Quantum Physics · Physics 2021-03-22 Kerstin Beer , Megha Khosla , Julius Köhler , Tobias J. Osborne

Networks constitute efficient tools for assessing universal features of complex systems. In physical contexts, classical as well as quantum, networks are used to describe a wide range of phenomena, such as phase transitions, intricate…

Quantum Physics · Physics 2016-01-22 Jaroslav Novotný , Gernot Alber , Igor Jex

In the long-standing quest to reconcile gravity with quantum mechanics, profound connections have been unveiled between concepts traditionally pertaining to quantum information theory, such as entanglement, and constitutive features of…

High Energy Physics - Theory · Physics 2022-06-28 Eugenia Colafranceschi , Gerardo Adesso

Quantum networks are promising tools for the implementation of long-range quantum communication. The characterization of quantum correlations in networks and their usefulness for information processing is therefore central for the progress…

Quantum Physics · Physics 2022-01-28 Kiara Hansenne , Zhen-Peng Xu , Tristan Kraft , Otfried Gühne

Starting from a general \textit{ansatz}, we show how community detection can be interpreted as finding the ground state of an infinite range spin glass. Our approach applies to weighted and directed networks alike. It contains the…

Disordered Systems and Neural Networks · Physics 2009-11-11 Joerg Reichardt , Stefan Bornholdt

This work presents a control-oriented identification scheme for efficient control design and stability analysis of nonlinear systems. Neural networks are used to identify a discrete-time nonlinear state-space model to approximate…

Systems and Control · Electrical Eng. & Systems 2024-10-04 Maxime Thieffry , Alexandre Hache , Mohamed Yagoubi , Philippe Chevrel

Using background-free detection of spin-state-dependent resonance fluorescence from a single-electron charged quantum dot with an efficiency of 0:1%, we realize a single spin-photon interface where the detection of a scattered photon with…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 S. T. Yilmaz , P. Fallahi , A. Imamoglu

In this paper, we consider the problem of online identification of Switched AutoRegressive eXogenous (SARX) systems, where the goal is to estimate the parameters of each subsystem and identify the switching sequence as data are obtained in…

Systems and Control · Computer Science 2018-05-04 Zhe Du , Necmiye Ozay , Laura Balzano

An efficient structural identifiability analysis algorithm is developed in this study for a broad range of network structures. The proposed method adopts the Wright's path coefficient method to generate identifiability equations in forms of…

Molecular Networks · Quantitative Biology 2017-08-25 Yulin Wang , Na Lu , Hongyu Miao