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The design of quantum circuits is currently driven by the specific objectives of the quantum algorithm in question. This approach thus relies on a significant manual effort by the quantum algorithm designer to design an appropriate circuit…

Quantum Physics · Physics 2025-09-22 Ankit Kulshrestha , Xiaoyuan Liu , Hayato Ushijima-Mwesigwa , Ilya Safro

Traditional tree search algorithms supply a blueprint for modeling problem solving behaviour. A diverse spectrum of problems can be formulated in terms of tree search. Quantum computation, in particular Grover's algorithm, has aroused a…

Data Structures and Algorithms · Computer Science 2015-02-09 Luís Tarrataca , Andreas Wichert

While there is strong evidence for advantages of quantum over classical computation, the repertoire of computational primitives with proven or conjectured quantum advantage remains limited. A big challenge of quantum algorithmic design is a…

Quantum Physics · Physics 2026-05-13 Tom Krüger , Wolfgang Mauerer

Non-stabilizerness - also colloquially referred to as magic - is the a resource for advantage in quantum computing and lies in the access to non-Clifford operations. Developing a comprehensive understanding of how non-stabilizerness can be…

Magic, or nonstabilizerness, characterizes the deviation of a quantum state from the set of stabilizer states and plays a fundamental role from quantum state complexity to universal fault-tolerant quantum computing. However, analytical or…

Quantum Physics · Physics 2024-05-22 Junjie Chen , Yuxuan Yan , You Zhou

A quantum algorithm for general combinatorial search that uses the underlying structure of the search space to increase the probability of finding a solution is presented. This algorithm shows how coherent quantum systems can be matched to…

Quantum Physics · Physics 2009-10-30 Tad Hogg

Hybrid Quantum Neural Networks (HQNNs) combine classical learning with parameterized quantum circuits, but their practical performance is often limited by (i) the noise of Noisy Intermediate-Scale Quantum (NISQ) devices and (ii) the large,…

Quantum Physics · Physics 2026-04-17 Tasnim Ahmed , Alberto Marchisio , Muhammad Kashif , Nouhaila Innan , Muhammad Shafique

The key challenge in neural architecture search (NAS) is designing how to explore wisely in the huge search space. We propose a new NAS method called TNAS (NAS with trees), which improves search efficiency by exploring only a small number…

Artificial Intelligence · Computer Science 2022-04-12 Guocheng Qian , Xuanyang Zhang , Guohao Li , Chen Zhao , Yukang Chen , Xiangyu Zhang , Bernard Ghanem , Jian Sun

While a large number of algorithms for optimizing quantum dynamics for different objectives have been developed, a common limitation is the reliance on good initial guesses, being either random or based on heuristics and intuitions. Here we…

Quantum Physics · Physics 2021-07-27 Mogens Dalgaard , Felix Motzoi , Jens Jakob Sorensen , Jacob Sherson

Quantum search has emerged as one of the most promising fields in quantum computing. State-of-the-art quantum search algorithms enable the search for specific elements in a distribution by monotonically increasing the density of these…

Optimization and Control · Mathematics 2025-01-14 Rodolphe Griset , Ioannis Lavdas , Jiri Guth Jarkovsky

The aim of this work is to develop a framework for realising quantum network algorithms with the use of prior knowledge about the structure of the network. We seek to obtain computational methods that allows us to locally determine network…

Quantum Physics · Physics 2017-01-30 Przemysław Sadowski

Hybrid quantum-classical neural networks (HQNNs) are emerging as a practical approach for quantum machine learning in the noisy intermediate-scale quantum (NISQ) era, as they combine classical learning components with parameterized quantum…

Quantum Physics · Physics 2026-05-19 Alberto Marchisio , Muhammad Kashif , Nouhaila Innan , Muhammad Shafique

Quantum search is a quantum mechanical technique for searching N possibilities in only sqrt(N) steps. This has been proved to be the best possible algorithm for the exhuastive search problem in the sense the number of queries it requires…

Quantum Physics · Physics 2009-11-07 Lov K. Grover

We investigate the behavior of coherence in scattering quantum walk search on complete graph under the condition that the total number of vertices of the graph is greatly larger than the marked number of vertices we are searching, $N \gg…

Quantum Physics · Physics 2020-03-19 Yun-Long Su , Si-Yuan Liu , Xiao-Hui Wang , Heng Fan , Wen-Li Yang

We examine the effect of network heterogeneity on the performance of quantum search algorithms. To this end, we study quantum search on a tree for the oracle Hamiltonian formulation employed by continuous-time quantum walks. We use…

Quantum Physics · Physics 2016-03-09 Pascal Philipp , Luís Tarrataca , Stefan Boettcher

We propose a novel paradigm of integration of Grover's algorithm in a machine learning framework: the inductive Grover oracular quantum neural network (IGO-QNN). The model defines a variational quantum circuit with hidden layers of…

Quantum Physics · Physics 2021-05-27 Areeq I. Hasan

Topological materials exhibit unique electronic structures that underpin both fundamental quantum phenomena and next-generation technologies, yet their discovery remains constrained by the high computational cost of first-principles…

Materials Science · Physics 2025-12-16 Xinyu Xu , Rajibul Islam , Ghulam Hussain , Yangming Huang , Xiaoguang Li , Pavlo O. Dral , Arif Ullah , Ming Yang

Graph NAS has emerged as a promising approach for autonomously designing GNN architectures by leveraging the correlations between graphs and architectures. Existing methods fail to generalize under distribution shifts that are ubiquitous in…

Machine Learning · Computer Science 2024-12-31 Peiwen Li , Xin Wang , Zeyang Zhang , Yijian Qin , Ziwei Zhang , Jialong Wang , Yang Li , Wenwu Zhu

Quantum computing has noteworthy speedup over classical computing by taking advantage of quantum parallelism, i.e., the superposition of states. In particular, quantum search is widely used in various computationally hard problems. Grover's…

Quantum Physics · Physics 2021-03-29 Ji Liu , Huiyang Zhou

Efficient network modeling is essential for resource optimization and network planning in next-generation large-scale complex networks. Traditional approaches, such as queuing theory-based modeling and packet-based simulators, can be…

Networking and Internet Architecture · Computer Science 2025-03-25 Chetna Singhal , Yassine Hadjadj-Aoul
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