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The weighted MAX k-CUT problem consists of finding a k-partition of a given weighted undirected graph G(V,E) such that the sum of the weights of the crossing edges is maximized. The problem is of particular interest as it has a multitude of…

Quantum Physics · Physics 2024-11-22 Franz Georg Fuchs , Herman Øie Kolden , Niels Henrik Aase , Giorgio Sartor

Quantum Machine Learning (QML) is considered one of the most promising applications of Quantum Computing in the Noisy Intermediate Scale Quantum (NISQ) era for the impact it is thought to have in the near future. Although promising…

Quantum Physics · Physics 2025-08-22 Valeria Repetto , Elia Giuseppe Ceroni , Giuseppe Buonaiuto , Romina D'Aurizio

The success of the current generation of Noisy Intermediate-Scale Quantum (NISQ) hardware shows that quantum hardware may be able to tackle complex problems even without error correction. One outstanding issue is that of coherent errors…

Algorithms for triangle-finding, the smallest nontrivial instance of the k-clique problem, have been proposed for quantum computers. Still, those algorithms assume the use of fixed access time quantum RAM (QRAM). We present a practical…

Quantum Physics · Physics 2021-02-23 Sara Ayman Metwalli , Francois Le Gall , Rodney Van Meter

Clifford circuit optimization is an important step in the quantum compilation pipeline. Major compilers employ heuristic approaches. While they are fast, their results are often suboptimal. Minimization of noisy gates, like 2-qubit CNOT…

Quantum Physics · Physics 2025-04-02 Irfansha Shaik , Jaco van de Pol

The current trend of pushing CNNs deeper with convolutions has created a pressing demand to achieve higher compression gains on CNNs where convolutions dominate the computation and parameter amount (e.g., GoogLeNet, ResNet and Wide ResNet).…

Machine Learning · Computer Science 2018-06-26 Junru Wu , Yue Wang , Zhenyu Wu , Zhangyang Wang , Ashok Veeraraghavan , Yingyan Lin

Many quantum algorithms for machine learning require access to classical data in superposition. However, for many natural data sets and algorithms, the overhead required to load the data set in superposition can erase any potential quantum…

Quantum Physics · Physics 2020-05-01 Teague Tomesh , Pranav Gokhale , Eric R. Anschuetz , Frederic T. Chong

In recent years, efficient quantum circuit simulations incorporating ideal noise assumptions have relied on tensor network simulators, particularly leveraging the matrix product density operator (MPDO) framework. However, experiments on…

Quantum Physics · Physics 2025-08-12 Wei-guo Ma , Yun-Hao Shi , Kai Xu , Heng Fan

Universal fault-tolerant quantum computers require millions of qubits with low error rates. Since this technology is years ahead, noisy intermediate-scale quantum (NISQ) computation is receiving tremendous interest. In this setup, quantum…

Quantum Physics · Physics 2022-05-23 L. Domingo , G. Carlo , F. Borondo

Quantum phase estimation (QPE) is one of the core algorithms for quantum computing. It has been extensively studied and applied in a variety of quantum applications such as the Shor's factoring algorithm, quantum sampling algorithms and the…

Error mitigation is essential for unlocking the full potential of quantum algorithms and accelerating the timeline toward quantum advantage. As quantum hardware progresses to push the boundaries of classical simulation, efficient and robust…

While current network intrusion detection systems achieve satisfactory accuracy, they often lack explainability. Subgroup Discovery (SD) addresses this by building interpretable rules that characterize feature interactions associated with…

Quantum Physics · Physics 2026-05-01 Samuel Spell , Chi-Ren Shyu

Accurate modeling of noise in realistic quantum processors is critical for constructing fault-tolerant quantum computers. While a full simulation of actual noisy quantum circuits provides information about correlated noise among all qubits…

Quantum Physics · Physics 2025-04-10 F. Setiawan , Alexander V. Gramolin , Elisha S. Matekole , Hari Krovi , Jacob M. Taylor

This paper introduces a noise-aware distributed Quantum Approximate Optimization Algorithm (QAOA) tailored for execution on near-term quantum hardware. Leveraging a distributed framework, we address the limitations of current Noisy…

Quantum Physics · Physics 2024-08-12 Kuan-Cheng Chen , Xiatian Xu , Felix Burt , Chen-Yu Liu , Shang Yu , Kin K Leung

We present a method for mitigating measurement errors on quantum computing platforms that does not form the full assignment matrix, or its inverse, and works in a subspace defined by the noisy input bit-strings. This method accommodates…

Quantum Physics · Physics 2021-11-11 Paul D. Nation , Hwajung Kang , Neereja Sundaresan , Jay M. Gambetta

The "Noisy intermediate-scale quantum" NISQ machine era primarily focuses on mitigating noise, controlling errors, and executing high-fidelity operations, hence requiring shallow circuit depth and noise robustness. Approximate computing is…

Quantum Physics · Physics 2024-08-05 Bhaskar Gaur , Travis S. Humble , Himanshu Thapliyal

In the noisy intermediate-scale quantum (NISQ) era, one of the key questions is how to deal with the high noise level existing in physical quantum bits (qubits). Quantum error correction is promising but requires an extensive number (e.g.,…

Quantum Physics · Physics 2021-10-29 Zhiding Liang , Zhepeng Wang , Junhuan Yang , Lei Yang , Jinjun Xiong , Yiyu Shi , Weiwen Jiang

Kernel $k$-means clustering can correctly identify and extract a far more varied collection of cluster structures than the linear $k$-means clustering algorithm. However, kernel $k$-means clustering is computationally expensive when the…

Machine Learning · Computer Science 2019-02-12 Shusen Wang , Alex Gittens , Michael W. Mahoney

The learning of mixture models can be viewed as a clustering problem. Indeed, given data samples independently generated from a mixture of distributions, we often would like to find the {\it correct target clustering} of the samples…

Machine Learning · Statistics 2022-08-26 Zhaoqiang Liu , Vincent Y. F. Tan

Quantum devices in the Noisy Intermediate-Scale Quantum (NISQ) era are limited by high error rates and short decoherence times. Typically, compiler optimisations have provided solutions at the gate level. Alternatively, we exploit the…

Quantum Physics · Physics 2023-11-16 Lilian Hunt Alan Robertson
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