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We reveal universal dynamical scaling behavior across adiabatic quantum phase transitions (QPTs) in networks ranging from traditional spatial systems (Ising model) to fully connected ones (Dicke and Lipkin-Meshkov-Glick models). Our…

Quantum Physics · Physics 2015-06-18 O. L. Acevedo , L. Quiroga , F. J. Rodríguez , N. F. Johnson

Post-training quantization (PTQ) has become a crucial tool for reducing the memory and compute costs of modern deep neural networks, including large language models (LLMs). Among PTQ algorithms, the OPTQ framework-also known as GPTQ-has…

Machine Learning · Computer Science 2026-04-13 Haoyu Zhang , Shihao Zhang , Ian Colbert , Rayan Saab

Quantization has become a crucial step for the efficient deployment of deep neural networks, where floating point operations are converted to simpler fixed point operations. In its most naive form, it simply consists in a combination of…

Machine Learning · Computer Science 2023-08-16 Edouard Yvinec , Arnaud Dapogny , Kevin Bailly

Although the simulation of quantum chemistry is one of the most anticipated applications of quantum computing, the scaling of known upper bounds on the complexity of these algorithms is daunting. Prior work has bounded errors due to…

Quantum Physics · Physics 2015-03-05 Ryan Babbush , Jarrod McClean , Dave Wecker , Alán Aspuru-Guzik , Nathan Wiebe

Dynamical quantum phase transitions (DQPTs) at critical times appear as non-analyticities during nonequilibrium quantum real-time evolution. Although there is evidence for a close relationship between DQPTs and equilibrium phase…

Statistical Mechanics · Physics 2015-10-06 Markus Heyl

Digital quantum simulation (DQS) of continuous-variable quantum systems in the position basis requires efficient implementation of diagonal unitaries approximating the time evolution operator generated by the potential energy function. In…

Quantum Physics · Physics 2022-12-12 Tenzan Araki , James Stokes , Shravan Veerapaneni

We provide practical simulation methods for scalar field theories on a quantum computer that yield improved asymptotics as well as concrete gate estimates for the simulation and physical qubit estimates using the surface code. We achieve…

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

This Thesis delves into the development and implementation of quantum algorithms using the digital-analog quantum computing (DAQC) paradigm. It provides a comparative analysis of the performance of DAQC versus traditional digital…

Quantum Physics · Physics 2024-01-22 Ana Martin

Distributed quantum computing (DQC) is being actively investigated as a means of scaling the number of qubits across multiple connected quantum devices. This includes quantum circuit compilation and execution management on multiple quantum…

Quantum Physics · Physics 2026-03-23 Gongyu Ni , Davide Ferrari , Lester Ho , Michele Amoretti

We consider Hamiltonian simulation using the first order Lie-Trotter product formula under the assumption that the initial state has a high overlap with an energy eigenstate, or a collection of eigenstates in a narrow energy band. This…

Quantum Physics · Physics 2021-02-26 Changhao Yi , Elizabeth Crosson

Recently, quantum computing has gained attention in urban studies as a tool for complex transport planning problems, but its role remains unclear. This paper reviews quantum computing research in urban transport planning and highlights…

Optimization and Control · Mathematics 2026-04-06 Junxiang Xu , Chence Niu , Divya Jayakumar Nair , Vinayak Dixit

Trotterization-based, iterative approaches to quantum simulation are restricted to simulation times less than the coherence time of the quantum computer, which limits their utility in the near term. Here, we present a hybrid…

Quantum walk serves as a versatile tool for universal quantum computing and algorithmic research. However, the implementation of discrete-time quantum walks (DTQWs) with superconducting circuits is still constrained by some limitations such…

Efficient error estimates for the Trotter product formula are central in quantum computing, mathematical physics, and numerical simulations. However, the Trotter error's dependency on the input state and its application to unbounded…

Quantum Physics · Physics 2024-11-28 Daniel Burgarth , Paolo Facchi , Alexander Hahn , Mattias Johnsson , Kazuya Yuasa

Digital-analog quantum computation aims to reduce the currently infeasible resource requirements needed for near-term quantum information processing by replacing sequences of one- and two-qubit gates with a unitary transformation generated…

The standard approach to universal fault-tolerant quantum computing is to develop a general purpose quantum error correction mechanism that can implement a universal set of logical gates fault-tolerantly. Given such a scheme, any quantum…

Quantum Physics · Physics 2025-09-17 Zhuangzhuang Chen , Narayanan Rengaswamy

Progress in fault-tolerant quantum computation (FTQC) has driven the pursuit of practical applications with early fault-tolerant quantum computers (EFTQC). These devices, limited in their qubit counts and fault-tolerance capabilities,…

Quantum Physics · Physics 2024-05-06 Qiyao Liang , Yiqing Zhou , Archismita Dalal , Peter D. Johnson

The Schwinger model, which describes lattice quantum electrodynamics in $1+1$ space-time dimensions, provides a valuable framework to investigate fundamental aspects of quantum field theory, and a stepping stone towards non-Abelian gauge…

Quantum Physics · Physics 2026-01-19 Angus Kan , Jessica Lemieux , Olga Okrut , Burak Şahinoğlu

Achieving fault-tolerant quantum computation (FTQC) demands simultaneous progress in physical qubit performance and quantum error correction (QEC). This work reviews and benchmarks experimental advancements towards FTQC across leading…

Quantum Physics · Physics 2025-07-08 François-Marie Le Régent
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