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The variational quantum eigensolver (VQE) is a hybrid quantum-classical algorithm designed for current and near-term quantum devices. Despite its initial success, there is a lack of understanding involving several of its key aspects. There…

Quantum Physics · Physics 2023-03-22 Manpreet Singh Jattana , Fengping Jin , Hans De Raedt , Kristel Michielsen

The variational quantum eigensolver (VQE) is generally regarded as a promising quantum algorithm for near-term noisy quantum computers. However, when implemented with the deep circuits that are in principle required for achieving a…

Quantum Physics · Physics 2025-06-05 Simone Cantori , Andrea Mari , David Vitali , Sebastiano Pilati

Practical applications of quantum computing depend on fault-tolerant devices with error correction. Today, the most promising approach is a class of error-correcting codes called surface codes. We study the problem of compiling quantum…

Quantum Physics · Physics 2025-04-29 Abtin Molavi , Amanda Xu , Swamit Tannu , Aws Albarghouthi

Scaling the size of monolithic quantum computer systems is a difficult task. As the number of qubits within a device increases, a number of factors contribute to decreases in yield and performance. To meet this challenge, distributed…

Quantum optimization allows for up to exponential quantum speedups for specific, possibly industrially relevant problems. As the key algorithm in this field, we motivate and discuss the Quantum Approximate Optimization Algorithm (QAOA),…

Quantum Physics · Physics 2025-11-18 Jonas Stein , Maximilian Zorn , Leo Sünkel , Thomas Gabor

To demonstrate supremacy of quantum computing, increasingly large-scale superconducting quantum computing chips are being designed and fabricated. However, the complexity of simulating quantum systems poses a significant challenge to…

Quantum Physics · Physics 2025-07-25 Hao Ai , Yu-xi Liu

Variational quantum algorithms have become the de facto model for current quantum computations. A prominent example of such algorithms -- the quantum approximate optimization algorithm (QAOA) -- was originally designed for combinatorial…

Quantum Physics · Physics 2024-07-16 Ernesto Campos , Daniil Rabinovich , Alexey Uvarov

Variational Quantum Algorithms (VQAs) provide a promising framework for tackling complex optimization problems on near-term quantum hardware. Here, we demonstrate that hybrid qubit--qumode quantum devices offer an efficient route to solving…

With recent improvements in coherence times, superconducting transmon qubits have become a promising platform for quantum computing. They can be flexibly engineered over a wide range of parameters, but also require us to identify an…

Quantum Physics · Physics 2017-09-21 Michael H. Goerz , Felix Motzoi , K. Birgitta Whaley , Christiane P. Koch

Quantum approximate optimization algorithm (QAOA) is one of the popular quantum algorithms that are used to solve combinatorial optimization problems via approximations. QAOA is able to be evaluated on both physical and virtual quantum…

Quantum Physics · Physics 2023-12-07 Yu-Cheng Lin , Chuan-Chi Wang , Chia-Heng Tu , Shih-Hao Hung

In recent years, parameterized quantum circuits have become a major tool to design quantum algorithms for optimization problems. The challenge in fully taking advantage of a given family of parameterized circuits lies in finding a good set…

Quantum Physics · Physics 2022-09-05 Eunou Lee

Compiling a high-level quantum circuit down to a low-level description that can be executed on state-of-the-art quantum computers is a crucial part of the software stack for quantum computing. One step in compiling a quantum circuit to some…

Quantum Physics · Physics 2023-04-20 Tom Peham , Lukas Burgholzer , Robert Wille

We introduce and implement GraphDD: an efficient method for real-time, circuit-specific, optimal embedding of dynamical decoupling (DD) into executable quantum algorithms. We demonstrate that for an arbitrary quantum circuit, GraphDD…

Quantum Physics · Physics 2025-06-13 Paul Coote , Roman Dimov , Smarak Maity , Gavin S. Hartnett , Michael J. Biercuk , Yuval Baum

Recent hardware demonstrations and advances in circuit compilation have made quantum computing with higher-dimensional systems (qudits) on near-term devices an attractive possibility. Some problems have more natural or optimal encodings…

Quantum Physics · Physics 2023-08-17 Gabriel Bottrill , Mudit Pandey , Olivia Di Matteo

Quantum machine learning (QML) is promising for potential speedups and improvements in conventional machine learning (ML) tasks (e.g., classification/regression). The search for ideal QML models is an active research field. This includes…

Quantum Physics · Physics 2022-02-07 Mahabubul Alam , Swaroop Ghosh

Quantum Machine Learning (QML) offers tremendous potential but is currently limited by the availability of qubits. We introduce an innovative approach that utilizes pre-trained neural networks to enhance Variational Quantum Circuits (VQC).…

Machine Learning · Computer Science 2024-11-14 Jun Qi , Chao-Han Yang , Samuel Yen-Chi Chen , Pin-Yu Chen , Hector Zenil , Jesper Tegner

The use of Quantum Neural Networks (QNN) that are analogous to classical neural networks, has greatly increased in the past decade owing to the growing interest in the field of Quantum Machine Learning (QML). A QNN consists of three major…

Quantum Physics · Physics 2024-01-30 Koustubh Phalak , Swaroop Ghosh

The variational quantum eigensolver (VQE) is one of the most appealing quantum algorithms to simulate electronic structure properties of molecules on near-term noisy intermediate-scale quantum devices. In this work, we generalize the VQE…

Quantum Physics · Physics 2022-06-09 Jie Liu , Lingyun Wan , Zhenyu Li , Jinlong Yang

Quantum architecture search (QAS) is the process of automating architecture engineering of quantum circuits. It has been desired to construct a powerful and general QAS platform which can significantly accelerate current efforts to identify…

Quantum Physics · Physics 2022-11-15 Shi-Xin Zhang , Chang-Yu Hsieh , Shengyu Zhang , Hong Yao

Quantum computing has demonstrated its potential to solve various optimization problems, including drone scheduling, which is important not only for drone delivery but also for logistics in general. However, one of the main obstacles is…

Quantum Physics · Physics 2026-05-15 Van-Quang-Huy Nguyen , Hoang-Quan Nguyen , Samee U. Khan , Ilya Safro , Khoa Luu