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In the era of Noisy Intermediate-Scale Quantum (NISQ) computers it is crucial to design quantum algorithms which do not require many qubits or deep circuits. Unfortunately, the most well-known quantum algorithms are too demanding to be run…

Quantum Physics · Physics 2020-09-17 Adam Glos , Aleksandra Krawiec , Zoltán Zimborás

Quantum Key Distribution (QKD) networks enable unconditionally secure key exchange using quantum mechanical principles. However, routing cryptographic keys across multi-hop quantum networks introduces challenges unique to quantum…

Quantum Physics · Physics 2025-11-20 Ivan Cvitic , Dragan Perakovic , Armando Nolasco Pinto

Distributed quantum computing offers a potential solution to the complexity of superconducting chip hardware layouts and error correction algorithms. High-quality gates between distributed chips enable the simplification of existing error…

Quantum Physics · Physics 2025-11-04 Yunan Li , Xi Zhang , Weixin Zhang , Ruonan Guo , Yu Zhang , Xinsheng Tan , Yang Yu

We develop a qubit routing algorithm with polynomial classical run time for the Quantum Approximate Optimization Algorithm (QAOA). The algorithm follows a two step process. First, it obtains a near-optimal solution, based on Vizing's…

Quantum Physics · Physics 2023-12-27 Ayse Kotil , Fedor Simkovic , Martin Leib

Quantum algorithms for solving problems of interesting size often result in circuits with a very large number of qubits and quantum gates. Fortunately, these algorithms also tend to contain a small number of repetitively-used quantum…

Emerging Technologies · Computer Science 2014-12-30 Mohammad Javad Dousti , Alireza Shafaei , Massoud Pedram

Executing large quantum circuits is not feasible using the currently available NISQ (noisy intermediate-scale quantum) devices. The high costs of using real quantum devices make it further challenging to research and develop quantum…

Quantum Physics · Physics 2025-02-18 Kartikey Sarode , Daniel E. Huang , E. Wes Bethel

We present a differentiable joint pruning and quantization (DJPQ) scheme. We frame neural network compression as a joint gradient-based optimization problem, trading off between model pruning and quantization automatically for hardware…

Machine Learning · Computer Science 2021-04-06 Ying Wang , Yadong Lu , Tijmen Blankevoort

Within quantum machine learning, parametrized quantum circuits provide flexible quantum models, but their performance is often highly task-dependent, making manual circuit design challenging. Alternatively, quantum architecture search…

Optimization problems become fundamentally challenging as the number of variables increases. Because the volume of the search space grows exponentially, classical algorithms frequently fail to locate the global minimum of non-convex…

Quantum Physics · Physics 2026-04-23 Dominik Soós , Marc Paterno , John Stenger , Nikos Chrisochoides

We present a divide-and-conquer approach to deterministically prepare Dicke states $\lvert D_k^n\rangle$ (i.e., equal-weight superpositions of all $n$-qubit states with Hamming Weight $k$) on quantum computers. In an experimental evaluation…

Quantum Physics · Physics 2022-06-15 Shamminuj Aktar , Andreas Bärtschi , Abdel-Hameed A. Badawy , Stephan Eidenbenz

Solving the discrete logarithm problem (DLP) with quantum computers is a fundamental task with important implications. Beyond Shor's algorithm, many researchers have proposed alternative solutions in recent years. However, due to current…

Quantum Physics · Physics 2026-03-30 Renjie Xu , Daowen Qiu , Ligang Xiao , Le Luo , Xu Zhou

From energy conservation perspective inWireless Sensor Networks (WSNs), clustering of sensor nodes is a challenging task. Clustering technique in routing protocols play a key role to prolong the stability period and lifetime of the network.…

Networking and Internet Architecture · Computer Science 2013-03-22 K. Latif , A. Ahmad , N. Javaid , Z. A. Khan , N. Alrajeh

Variational quantum algorithms, inspired by neural networks, have become a novel approach in quantum computing. However, designing efficient parameterized quantum circuits remains a challenge. Quantum architecture search tackles this by…

Quantum Physics · Physics 2024-08-02 Haozhen Situ , Zhimin He , Shenggen Zheng , Lvzhou Li

Current algorithms for large-scale industrial optimization problems typically face a trade-off: they either require exponential time to reach optimal solutions, or employ problem-specific heuristics. To overcome these limitations, we…

Quantum Physics · Physics 2025-10-16 Matteo Vandelli , Francesco Ferrari , Daniele Dragoni

To account for the randomness of propagation channels and interference levels in hierarchical spectrum sharing, a novel approach to multihop routing is introduced for cognitive random access networks, whereby packets are randomly routed…

Optimization and Control · Mathematics 2012-07-05 Emiliano Dall'Anese , Georgios B. Giannakis

We present a heuristic algorithm designed to solve Quadratic Unconstrained Binary Optimization (QUBO) problems efficiently. The algorithm, referred to as IC-D2S, leverages a hybrid approach using Ising and classical machines to address very…

Hardware Architecture · Computer Science 2025-02-20 Armin Abdollahi , Mehdi Kamal , Massoud Pedram

The cutting plane method is a key technique for successful branch-and-cut and branch-price-and-cut algorithms that find the exact optimal solutions for various vehicle routing problems (VRPs). Among various cuts, the rounded capacity…

Artificial Intelligence · Computer Science 2023-10-31 Hyeonah Kim , Jinkyoo Park , Changhyun Kwon

As an alternative to PINNs, a Deep Ritz framework is proposed to solve fully nonlinear PDEs. A least-squares algorithm is advocated to decouple the nonlinearities from the variational features of several fully nonlinear PDEs. A splitting…

Numerical Analysis · Mathematics 2026-05-01 Alexandre Caboussat , Martin T. Leclercq , Anna Peruso

We consider the problem of search of an unstructured list for a marked element, when one is given advice as to where this element might be located, in the form of a probability distribution. The goal is to minimise the expected number of…

Quantum Physics · Physics 2012-08-02 Ashley Montanaro

We propose a new method for evaluating NISQ devices. This paper has three distinct parts. First, we present a new quantum algorithm that solves a two hundred year old problem of finding quadratic nonresidues (QNR) in polynomial time. We…

Quantum Physics · Physics 2022-03-03 Thomas G. Draper
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