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Quantum computers have shown promise in improving algorithms in a variety of fields. The realization of these advancements is limited by the presence of noise and high error rates, which become prominent especially with increasing system…

Quantum Physics · Physics 2025-06-05 Melody Lee

Quantum computing is an emerging technology that has the potential to revolutionize fields such as cryptography, machine learning, optimization, and quantum simulation. However, a major challenge in the realization of quantum algorithms on…

Quantum Physics · Physics 2023-01-31 Robert Wille , Lukas Burgholzer

In Layout Synthesis, the logical qubits of a quantum circuit are mapped to the physical qubits of a given quantum hardware platform, taking into account the connectivity of physical qubits. This involves inserting SWAP gates before an…

Quantum Physics · Physics 2023-09-29 Irfansha Shaik , Jaco van de Pol

The application of machine learning techniques to solve problems in quantum control together with established geometric methods for solving optimisation problems leads naturally to an exploration of how machine learning approaches can be…

Quantum Physics · Physics 2020-12-02 Elija Perrier , Christopher Ferrie , Dacheng Tao

Quantum machine learning (QML) is a fast-growing discipline within quantum computing. One popular QML algorithm, quantum kernel estimation, uses quantum circuits to estimate a similarity measure (kernel) between two classical feature…

Quantum Physics · Physics 2023-07-12 Travis L. Scholten , Derrick Perry , Joseph Washington , Jennifer R. Glick , Thomas Ward

Compilation and optimization of quantum circuits are critical components in the execution of algorithms on quantum computers. These components must successfully balance two competing priorities: minimizing the number of expensive resources,…

Methods of artificial intelligence (AI) and especially machine learning (ML) have been growing ever more complex, and at the same time have more and more impact on people's lives. This leads to explainable AI (XAI) manifesting itself as an…

Quantum Physics · Physics 2025-03-04 Raoul Heese , Thore Gerlach , Sascha Mücke , Sabine Müller , Matthias Jakobs , Nico Piatkowski

Quantum machine learning (QML) requires significant quantum resources to address practical real-world problems. When the underlying quantum information exhibits hierarchical structures in the data, limitations persist in training complexity…

Quantum Physics · Physics 2026-03-24 Quoc Hoan Tran , Yasuhiro Endo , Hirotaka Oshima

Quantum computing promises significant speed-ups for certain algorithms but the practical use of current noisy intermediate-scale quantum (NISQ) era computers remains limited by resources constraints (e.g., noise, qubits, gates, and circuit…

Quantum Physics · Physics 2026-03-31 Tobias Fischbach , Pierre Talbot , Pascal Bouvry

Quantum Approximate Optimization Algorithm (QAOA) and its variants exhibit immense potential in tackling combinatorial optimization challenges. However, their practical realization confronts a dilemma: the requisite circuit depth for…

Quantum Physics · Physics 2024-09-30 Yang Qian , Xinbiao Wang , Yuxuan Du , Yong Luo , Dacheng Tao

Classification using variational quantum circuits is a promising frontier in quantum machine learning. Quantum supervised learning (QSL) applied to classical data using variational quantum circuits involves embedding the data into a quantum…

Quantum Physics · Physics 2026-03-16 Yujin Kim , Changjae Im , Taehyun Kim , Tak Hur , Daniel K. Park

We introduce a quantum algorithm that produces approximate solutions for combinatorial optimization problems. The algorithm depends on a positive integer p and the quality of the approximation improves as p is increased. The quantum circuit…

Quantum Physics · Physics 2014-11-17 Edward Farhi , Jeffrey Goldstone , Sam Gutmann

This paper presents a strategy for efficient quantum circuit design for density estimation. The strategy is based on a quantum-inspired algorithm for density estimation and a circuit optimisation routine based on memetic algorithms. The…

Quantum machine learning QML algorithms promise to deliver near-term, applicable quantum computation on noisy, intermediate-scale systems. While most of these algorithms leverage quantum circuits for generic applications, a recent set of…

Quantum Physics · Physics 2024-08-28 Rodrigo Araiza Bravo , Jorge Garcia Ponce , Hong-ye Hu , Susanne F. Yelin

An important aspect that strongly impacts the experimental feasibility of quantum circuits is the ratio of gate times and typical error time scales. Algorithms with circuit depths that significantly exceed the error time scales will result…

Quantum Physics · Physics 2024-08-29 Daniel Basilewitsch , Clemens Dlaska , Wolfgang Lechner

There is increasing interest in the development of gate-based quantum circuits for the training of machine learning models. Yet, little is understood concerning the parameters of circuit design, and the effects of noise and other…

Quantum Physics · Physics 2021-12-14 Patrick Selig , Niall Murphy , Ashwin Sundareswaran R , David Redmond , Simon Caton

The quantum approximate optimization algorithm (QAOA) is a method of approximately solving combinatorial optimization problems. While QAOA is developed to solve a broad class of combinatorial optimization problems, it is not clear which…

Quantum Physics · Physics 2020-08-13 James Ostrowski , Rebekah Herrman , Travis S. Humble , George Siopsis

As quantum computing technology advances, the complexity of quantum algorithms increases, necessitating a shift from low-level circuit descriptions to high-level programming paradigms. This paper addresses the challenges of developing a…

Quantum Physics · Physics 2025-03-04 Israel Reichental , Ravid Alon , Lior Preminger , Matan Vax , Amir Naveh

Quantum computers hold great promise to enhance machine learning, but their current qubit counts restrict the realisation of this promise. In an attempt to placate this limitation techniques can be applied for evaluating a quantum circuit…

Quantum Physics · Physics 2023-08-16 Simon C. Marshall , Casper Gyurik , Vedran Dunjko

We are in the midst of the noisy intermediate-scale quantum (NISQ) era, where quantum computers are limited by noisy gates, some of which are more error-prone than others and can render the final computation incomprehensible. Quantum…

Emerging Technologies · Computer Science 2025-05-13 Pranav Sinha , Sumit Kumar Jha , Sunny Raj