English
Related papers

Related papers: A Novel Quantum Algorithm for Efficient Attractor …

200 papers

Power systems dominated by renewable energy encounter frequently large, random disturbances, and a critical challenge faced in power-system management is how to anticipate accurately whether the perturbed systems will return to the…

Machine Learning · Computer Science 2023-05-25 Yao Du , Qing Li , Huawei Fan , Meng Zhan , Jinghua Xiao , Xingang Wang

Boolean networks have been used successfully in modeling biological networks and provide a good framework for theoretical analysis. However, the analysis of large networks is not trivial. In order to simplify the analysis of such networks,…

Molecular Networks · Quantitative Biology 2013-11-29 Alan Veliz-Cuba , Reinhard Laubenbacher , Boris Aguilar

Grover's search algorithm is the cornerstone of many applications of quantum computing, providing a quadratic speed-up over classical methods. One limitation of the algorithm is that it requires knowledge of the number of solutions to…

Quantum Physics · Physics 2025-12-18 Samuel Cogan , Jonathan Raghoonanan , Tim Byrnes

Entanglement plays a crucial role in quantum processes particularly those pertaining to quantum information and computation. An analytical expression for an entanglement measure defined in terms of success rate of Grover's search algorithm…

Quantum Physics · Physics 2007-05-23 Arti Chamoli , C. M. Bhandari

Grover's quantum algorithm can find a marked item from an unstructured database faster than any classical algorithm, and hence it has been used for several applications such as cryptanalysis and optimization. When there exist multiple…

Quantum Physics · Physics 2025-07-02 Kota Tani , Shunji Tsuchiya , Seiichiro Tani , Yuki Takeuchi

Variational Quantum Algorithms (VQAs) are a leading approach for near-term quantum computing but face major optimization challenges from noise, barren plateaus, and complex energy landscapes. We benchmarked more than fifty metaheuristic…

Quantum Physics · Physics 2025-09-30 Vojtěch Novák , Ivan Zelinka , Václav Snášel

In the multitarget Grover algorithm, we are given an unstructured N-element list of objects S_i containing a T-element subset tau and function f, called an oracle, such that f(S_i)=1 if S_i is in tau, otherwise f(S_i) = 0. By using quantum…

Quantum Physics · Physics 2013-05-29 Keith Kastella , Richard Freeling

We present a quantum algorithm for solving perfect mazes by casting the pathfinding task as a structured search problem. Building on Grover's amplitude amplification, the algorithm encodes all candidate paths in superposition and evaluates…

Quantum Physics · Physics 2025-07-31 Michelle L. Wu

Recent decades, the emergence of numerous novel algorithms makes it a gimmick to propose an intelligent optimization system based on metaphor, and hinders researchers from exploring the essence of search behavior in algorithms. However, it…

Neural and Evolutionary Computing · Computer Science 2022-04-18 Peng Wang , Gang Xin , Fang Wang

Cellular reprogramming can be used for both the prevention and cure of different diseases. However, the efficiency of discovering reprogramming strategies with classical wet-lab experiments is hindered by lengthy time commitments and high…

Machine Learning · Computer Science 2025-03-04 Andrzej Mizera , Jakub Zarzycki

Satisfiability (SAT) is a central problem in computer science, and advances in SAT-solving algorithms have a far-reaching impact across many fields. Recent works have proposed quantum SAT solvers based on Grover's algorithm, a quantum…

Quantum Physics · Physics 2026-04-21 Shang-Wei Lin , Ji-Qing Yan , Yean-Ru Chen , Zhe Hou , David Sanán

We demonstrate the implementation of Grover's quantum search algorithm on a liquid state nuclear magnetic resonance (NMR) quantum computer using essentially pure states. This was achieved using a two qubit device where the initial state is…

Quantum Physics · Physics 2007-05-23 M. S. Anwar , D. Blazina , H. Carteret , S. B. Duckett , J. A. Jones

In spite of the recent interest and advances in linear controllability of complex networks, controlling nonlinear network dynamics remains to be an outstanding problem. We develop an experimentally feasible control framework for nonlinear…

Molecular Networks · Quantitative Biology 2015-09-24 Le-Zhi Wang , Ri-Qi Su , Zi-Gang Huang , Xiao Wang , Wenxu Wang , Celso Grebogi , Ying-Cheng Lai

This paper presented two general quantum search algorithms. We derived the iterated formulas and the simpler approximate formulas and the precise formula for the amplitude in the desired state. A mathematical proof of Grover's algorithm…

Quantum Physics · Physics 2009-11-07 Dafa Li , Xinxin Li

Linear optical quantum circuits with photon number resolving (PNR) detectors are used for both Gaussian Boson Sampling (GBS) and for the preparation of non-Gaussian states such as Gottesman-Kitaev-Preskill (GKP), cat and NOON states. They…

Quantum Physics · Physics 2023-08-30 Robbe De Prins , Yuan Yao , Anuj Apte , Filippo M. Miatto

Genetic regulatory networks control ontogeny. For fifty years Boolean networks have served as models of such systems, ranging from ensembles of random Boolean networks as models for generic properties of gene regulation to working dynamical…

Molecular Networks · Quantitative Biology 2019-02-04 Stefan Bornholdt , Stuart Kauffman

The task of testing whether two uncharacterized quantum devices behave in the same way is crucial for benchmarking near-term quantum computers and quantum simulators, but has so far remained open for continuous-variable quantum systems. In…

Quantum Physics · Physics 2023-05-29 Ya-Dong Wu , Yan Zhu , Ge Bai , Yuexuan Wang , Giulio Chiribella

The research community has been actively working on the realization of quantum computer. But the large scale commercial quantum computers are not a reality yet quantum computing field has become richer by day with the advent of algorithms…

Quantum Physics · Physics 2021-04-06 Ayan Chattopadhyay , Vikram Menon

Boolean networks at the critical point have been a matter of debate for many years as, e.g., scaling of number of attractor with system size. Recently it was found that this number scales superpolynomially with system size, contrary to a…

Disordered Systems and Neural Networks · Physics 2009-11-10 Konstantin Klemm , Stefan Bornholdt

Neural networks are dynamical systems that compute with their dynamics. One example is the Hopfield model, forming an associative memory which stores patterns as global attractors of the network dynamics. From studies of dynamical networks…

Emerging Technologies · Computer Science 2021-12-13 Lorenz Baumgarten , Stefan Bornholdt