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In this work, we present a multi-layer quantum search method that generates an exponential speedup of the standard Grover's algorithm. As direct applications, any NP problems can be solved efficiently on a quantum circuit with only…

Quantum Physics · Physics 2020-04-28 Shan Jin , Xiaoting Wang , Bo Li

We present a novel quantum algorithm for solving the unstructured search problem with one marked element. Our algorithm allows generating quantum circuits that use asymptotically fewer additional quantum gates than the famous Grover's…

The landmark Grover algorithm for amplitude amplification serves as an essential subroutine in various type of quantum algorithms, with guaranteed quantum speedup in query complexity. However, there have been no proposal to realize the…

Quantum Physics · Physics 2022-03-28 Hiroyuki Tezuka , Kouhei Nakaji , Takahiko Satoh , Naoki Yamamoto

The problem of non-monotone $k$-submodular maximization under a knapsack constraint ($\kSMK$) over the ground set size $n$ has been raised in many applications in machine learning, such as data summarization, information propagation, etc.…

Data Structures and Algorithms · Computer Science 2023-09-22 Dung T. K. Ha , Canh V. Pham , Tan D. Tran , Huan X. Hoang

We investigate the integration of Nesterov-type acceleration into primal-dual methods for structured convex optimization. While proximal splitting algorithms efficiently handle composite problems of the form $\min_x f(x)+g(x)+h(Kx)$,…

Optimization and Control · Mathematics 2026-04-13 Laurent Condat , Abdurakhmon Sadiev , Peter Richtárik

There has been increasing interest in developing efficient quantum algorithms for hard classical problems. The Network Signal Coordination (NSC) problem is one such problem known to be NP complete. We implement Grover's search algorithm to…

Quantum Physics · Physics 2026-03-06 Vinayak Dixit , Richard Pech

Designing neural architectures is a fundamental step in deep learning applications. As a partner technique, model compression on neural networks has been widely investigated to gear the needs that the deep learning algorithms could be run…

Computer Vision and Pattern Recognition · Computer Science 2018-11-26 Yukang Chen , Gaofeng Meng , Qian Zhang , Xinbang Zhang , Liangchen Song , Shiming Xiang , Chunhong Pan

Computing Power Network (CPN) unifies wide-area computing resources through coordinated network control, while cloud-native abstractions enable flexible resource orchestration and on-demand service provisioning atop the elastic…

Networking and Internet Architecture · Computer Science 2025-07-11 Jingzhao Xie , Zhenglian Li , Gang Sun , Long Luo , Hongfang Yu , Dusit Niyato

Inferring parameters and testing hypotheses from gravitational wave signals is a computationally intensive task central to modern astrophysics. Nested sampling, a Bayesian inference technique, has become an established standard for this in…

Instrumentation and Methods for Astrophysics · Physics 2025-09-30 David Yallup , Metha Prathaban , James Alvey , Will Handley

Ensemble-based methods are highly popular approaches that increase the accuracy of a decision by aggregating the opinions of individual voters. The common point is to maximize accuracy; however, a natural limitation occurs if incremental…

Machine Learning · Computer Science 2020-04-20 Andras Hajdu , Gyorgy Terdik , Attila Tiba , Henrietta Toman

Amplitude filtering is concerned with identifying basis-states in a superposition whose amplitudes are greater than a specified threshold; probability filtering is defined analogously for probabilities. Given the scarcity of qubits, the…

Quantum Physics · Physics 2023-01-23 Debajyoti Bera , Tharrmashastha Sapv

The Boolean satisfiability problem (SAT), in particular 3SAT with its bounded clause size, is a well-studied problem since a wide range of decision problems can be reduced to it. Due to its high complexity, examining potentials of quantum…

Quantum Physics · Physics 2024-01-12 Alexander Mandl , Johanna Barzen , Marvin Bechtold , Frank Leymann , Karoline Wild

There is a growing interest in automated neural architecture search (NAS) methods. They are employed to routinely deliver high-quality neural network architectures for various challenging data sets and reduce the designer's effort. The NAS…

Neural and Evolutionary Computing · Computer Science 2022-06-28 Michal Pinos , Vojtech Mrazek , Lukas Sekanina

We introduce a novel hybrid quantum-classical variational optimization method for unconstrained binary combinatorial optimization problems on gate-model quantum computers, integrating a custom variational ansatz, staged feedback-based dual…

Neural audio compression has emerged as a promising technology for efficiently representing speech, music, and general audio. However, existing methods suffer from significant performance degradation at limited bitrates, where the available…

Sound · Computer Science 2026-05-08 Jin Wang , Wenbin Jiang , Xiangbo Wang , Yubo You , Sheng Fang

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

Combinatorial optimization is a promising application for near-term quantum computers, however, identifying performant algorithms suited to noisy quantum hardware remains as an important goal to potentially realizing quantum computational…

Quantum Physics · Physics 2025-04-01 Titus D. Morris , Ananth Kaushik , Martin Roetteler , Phillip C. Lotshaw

In this work, we consider the Submodular Maximization under Knapsack (SMK) constraint problem over the ground set of size $n$. The problem recently attracted a lot of attention due to its applications in various domains of combination…

Data Structures and Algorithms · Computer Science 2024-05-22 Canh V. Pham

Considering the noise level limit, one crucial aspect for quantum machine learning is to design a high-performing variational quantum circuit architecture with small number of quantum gates. As the classical neural architecture search…

Quantum Physics · Physics 2024-03-08 Jialin Chen , Zhiqiang Cai , Ke Xu , Di Wu , Wei Cao

Stochastic nested optimization, including stochastic compositional, min-max and bilevel optimization, is gaining popularity in many machine learning applications. While the three problems share the nested structure, existing works often…

Machine Learning · Statistics 2021-06-28 Tianyi Chen , Yuejiao Sun , Wotao Yin