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Quantum simulation, fundamental in quantum algorithm design, extends far beyond its foundational roots, powering diverse quantum computing applications. However, optimizing the compilation of quantum Hamiltonian simulation poses significant…

Quantum Physics · Physics 2024-08-08 Xiuqi Cao , Junyu Zhou , Yuhao Liu , Yunong Shi , Gushu Li

Classifier-free Guidance (CFG) is a widely used technique in modern diffusion models for enhancing sample quality and prompt adherence. However, through an empirical analysis on Gaussian mixture modeling with a closed-form solution, we…

Computer Vision and Pattern Recognition · Computer Science 2026-03-05 Chubin Chen , Jiashu Zhu , Xiaokun Feng , Nisha Huang , Chen Zhu , Meiqi Wu , Fangyuan Mao , Jiahong Wu , Xiangxiang Chu , Xiu Li

Simulating entangled, many-body quantum systems is notoriously hard, especially in the case of high-dimensional nature of physical underlying objects. In this work, we propose an approach for simulating the Potts model based on the…

Quantum algorithms on the noisy intermediate-scale quantum (NISQ) devices are expected to simulate quantum systems that are classically intractable to demonstrate quantum advantages. However, the non-negligible gate error on the NISQ…

Quantum Physics · Physics 2021-12-06 Joseph C. Aulicino , Trevor Keen , Bo Peng

Efficient optimization of quantum systems is a necessity for reaching fault tolerant thresholds. A standard tool for optimizing simulated quantum dynamics is the gradient-based \textsc{grape} algorithm, which has been successfully applied…

Quantum Physics · Physics 2020-10-28 Mogens Dalgaard , Felix Motzoi , Jesper Hasseriis Mohr Jensen , Jacob Sherson

Quantum processors are being integrated into HPC ecosystems as co-processors, where compilation of quantum circuits into hardware-executable form determines both output fidelity and runtime. Current compilers use a fixed pass sequence and…

Quantum Physics · Physics 2026-05-13 Mohammad Abrarul Hasanat , Jason Ludmir , Tirthak Patel , Rohan Basu Roy

Achieving chemical accuracy in quantum simulations is often constrained by the measurement bottleneck: estimating operators requires a large number of shots, which remains costly even on fault-tolerant devices and is further exacerbated on…

Quantum Physics · Physics 2025-09-22 Isaac L. Huidobro-Meezs , Jun Dai , Rodrigo A. Vargas-Hernández

Generating executable CAD programs from images requires alignment between visual geometry and symbolic program representations, a capability that current methods fail to learn reliably as design complexity increases. Existing fine-tuning…

Machine Learning · Computer Science 2026-03-31 Giorgio Giannone , Anna Clare Doris , Amin Heyrani Nobari , Kai Xu , Akash Srivastava , Faez Ahmed

The ferromagnetic state of an Ising chain can represent a two-fold degenerate subspace or equivalently a logical qubit which is protected from excitations by an energy gap. We study a a braiding-like exchange operation through the movement…

Quantum Physics · Physics 2021-08-11 Bassel Heiba Elfeky , Matthieu C. Dartiailh , S. M. Farzaneh , Javad Shabani

Large pre-trained models have demonstrated extensive applications across various fields. However, fine-tuning these models for specific downstream tasks demands significant computational resources and storage. One fine-tuning method,…

Machine Learning · Computer Science 2025-07-02 Xuanbo Liu , Liu Liu , Fuxiang Wu , Fusheng Hao , Xianglong Liu

Quantum Generative Modelling (QGM) relies on preparing quantum states and generating samples from these states as hidden - or known - probability distributions. As distributions from some classes of quantum states (circuits) are inherently…

Quantum Physics · Physics 2023-10-09 Sachin Kasture , Oleksandr Kyriienko , Vincent E. Elfving

Guidance in image generation steers models towards higher-quality or more targeted outputs, typically achieved in Diffusion Models (DMs) via Classifier-free Guidance (CFG). However, recent Consistency Models (CMs), which offer fewer…

Computer Vision and Pattern Recognition · Computer Science 2025-02-11 Chia-Hong Hsu , Shiu-hong Kao , Randall Balestriero

Deep generative models, such as generative adversarial networks and diffusion models, have recently emerged as powerful tools for planning tasks and behavior synthesis in autonomous systems. Various guidance strategies have been introduced…

Machine Learning · Computer Science 2025-01-23 Francesco Giacomarra , Mehran Hosseini , Nicola Paoletti , Francesca Cairoli

Over the last four decades, the amazing success of deep learning has been driven by the use of Stochastic Gradient Descent (SGD) as the main optimization technique. The default implementation for the computation of the gradient for SGD is…

Neural and Evolutionary Computing · Computer Science 2024-12-31 Qianli Liao , Liu Ziyin , Yulu Gan , Brian Cheung , Mark Harnett , Tomaso Poggio

Constraint satisfiability problems, crucial to several applications, are solved on a quantum computer using Grover's search algorithm, leading to a quadratic improvement over the classical case. The solutions are obtained with high…

Quantum Physics · Physics 2024-01-10 Gayathree M. Vinod , Anil Shaji

The current phase of quantum computing is in the Noisy Intermediate-Scale Quantum (NISQ) era. On NISQ devices, two-qubit gates such as CNOTs are much noisier than single-qubit gates, so it is essential to minimize their count. Quantum…

Quantum Physics · Physics 2022-03-24 Xin-Chuan Wu , Marc Grau Davis , Frederic T. Chong , Costin Iancu

Simulating quantum systems is one of the most promising avenues to harness the computational power of quantum computers. However, hardware errors in noisy near-term devices remain a major obstacle for applications. Ideas based on the…

Quantum Physics · Physics 2023-07-26 W. Gong , Yaroslav Kharkov , Minh C. Tran , Przemyslaw Bienias , Alexey V. Gorshkov

Generative models such as denoising diffusion models are quickly advancing their ability to approximate highly complex data distributions. They are also increasingly leveraged in scientific machine learning, where samples from the implied…

Machine Learning · Computer Science 2025-03-14 Jan-Hendrik Bastek , WaiChing Sun , Dennis M. Kochmann

In this article, we propose a distributed quantum algorithm for solving counting problem using Grover operator and a classical post-processing procedure. We apply the proposed algorithm to estimate inner products and Hamming distances.…

Quantum Physics · Physics 2025-11-10 Huaijing Huang , Daowen Qiu

We introduce an improved CNOT synthesis algorithm that considers nearest-neighbour interactions and CNOT gate error rates in noisy intermediate-scale quantum (NISQ) hardware. Compared to IBM's Qiskit compiler, it improves the fidelity of a…

Quantum Physics · Physics 2024-05-31 Dohun Kim , Minyoung Kim , Sarah Meng Li , Michele Mosca