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In recent years, control methods based on different optimization techniques have shed light on the possibilities of processing information in many quantum systems. When exploring the transmission of quantum states, faster transmission times…

Quantum Physics · Physics 2026-01-13 Sofía Perón Santana , Ariel Fiuri , Martín Domínguez , Omar Osenda

The development of quantum technologies relies on creating and manipulating quantum systems of increasing complexity, with key applications in computation, simulation, and sensing. This poses severe challenges in efficient control,…

Quantum Physics · Physics 2025-09-09 Hailan Ma , Bo Qi , Ian R. Petersen , Re-Bing Wu , Herschel Rabitz , Daoyi Dong

The quantum imaginary time evolution (QITE) algorithm is a direct implementation of the classical imaginary time evolution algorithm on quantum computer. We implement the QITE algorithm for the case of nuclear Hartree-Fock equations in a…

Nuclear Theory · Physics 2024-12-02 Yang Hong Li , Jim Al-Khalili , Paul Stevenson

We develop a constructive approach to generate quantum neural networks capable of representing the exact thermal states of all many-body qubit Hamiltonians. The Trotter expansion of the imaginary-time propagator is implemented through an…

Quantum Physics · Physics 2025-05-13 Ermal Rrapaj , Evan Rule

We propose a hybrid quantum-classical algorithm for solving QUBO problems using an Imaginary Time Evolution-Mimicking Circuit (ITEMC). The circuit parameters are optimized to closely mimic imaginary time evolution, using only single- and…

Quantum Physics · Physics 2025-06-19 Yahui Chai , Alice Di Tucci

Digital quantum simulation relies on Trotterization to discretize time evolution into elementary quantum gates. On current quantum processors with notable gate imperfections, there is a critical tradeoff between improved accuracy for finer…

Quantum Physics · Physics 2024-07-09 Hongzheng Zhao , Marin Bukov , Markus Heyl , Roderich Moessner

Excited states of many-body quantum systems play a key role in a wide range of physical and chemical phenomena. Unlike ground states, for which many efficient variational techniques exist, there are few ways to systematically construct…

Quantum Physics · Physics 2025-08-04 D. A. Millar , L. W. Anderson , E. Altamura , O. Wallis , M. E. Sahin , J. Crain , S. J. Thomson

We provide a quantum method for simulating Hamiltonian evolution with complexity polynomial in the logarithm of the inverse error. This is an exponential improvement over existing methods for Hamiltonian simulation. In addition, its scaling…

Quantum Physics · Physics 2013-10-24 Dominic W. Berry , Richard Cleve , Rolando D. Somma

We introduce a variational wavefunction for many-body ground states that involves imaginary time evolution with two different Hamiltonians in an alternating fashion with variable time intervals. We successfully apply the ansatz on the one-…

Strongly Correlated Electrons · Physics 2019-09-25 Matthew J. S. Beach , Roger G. Melko , Tarun Grover , Timothy H. Hsieh

Pretraining reinforcement learning methods with demonstrations has been an important concept in the study of reinforcement learning since a large amount of computing power is spent on online simulations with existing reinforcement learning…

Machine Learning · Computer Science 2019-05-10 Xiaoqin Zhang , Yunfei Li , Huimin Ma , Xiong Luo

Quantum confinement is studied by numerically solving time-dependent Schr\"odinger equation. An imaginary-time evolution technique is employed in conjunction with the minimization of an expectation value, to reach the global minimum.…

Quantum Physics · Physics 2018-01-31 Amlan K. Roy

This work presented a perturbational decomposition method for simulating quantum evolution under the one-dimensional Ising model with both longitudinal and transverse fields. By treating the transverse field terms as perturbations in the…

Quantum Physics · Physics 2024-12-24 Youning Li , Junfeng Huang , Chao Zhang , Jun Li

The recent advances in machine learning hold great promise for the fields of quantum sensing and metrology. With the help of reinforcement learning, we can tame the complexity of quantum systems and solve the problem of optimal experimental…

Quantum Physics · Physics 2024-03-18 Federico Belliardo , Fabio Zoratti , Vittorio Giovannetti

Quantum dynamics simulation via Hamilton simulation algorithms is one of the most crucial applications in the quantum computing field. While this task has been relatively considered the target in the fault-tolerance era, the experiment for…

Quantum Physics · Physics 2025-09-11 Shigeo Hakkaku , Yasunari Suzuki , Yuuki Tokunaga , Suguru Endo

Imaginary-time evolution has been shown to be a promising framework for tackling combinatorial optimization problems on quantum hardware. In this work, we propose a classical quantum-inspired strategy for solving combinatorial optimization…

Quantum Physics · Physics 2025-12-05 Erik M. Åsgrim , Ahsan Javed Awan

Approximate combinatorial optimization is a promising use case for quantum computers. The quantum optimization algorithms often employ a fixed ansatz that evolves an unbiased initial state towards states with better values of the optimand,…

Quantum Physics · Physics 2026-04-30 Phillip C. Lotshaw , Titus Morris , Stuart Hadfield , Ryan Bennink

There are two distinct approaches to solving reinforcement learning problems, namely, searching in value function space and searching in policy space. Temporal difference methods and evolutionary algorithms are well-known examples of these…

Machine Learning · Computer Science 2011-06-02 J. J. Grefenstette , D. E. Moriarty , A. C. Schultz

Successful teaching requires an assumption of how the learner learns - how the learner uses experiences from the world to update their internal states. We investigate what expectations people have about a learner when they teach them in an…

Machine Learning · Computer Science 2023-06-30 Yun-Shiuan Chuang , Xuezhou Zhang , Yuzhe Ma , Mark K. Ho , Joseph L. Austerweil , Xiaojin Zhu

In this study, we investigate Trotter evolution in the Gross-Neveu and hyperbolic Ising models in two spacetime dimensions, using quantum computers. We identify different sources of errors prevalent in various quantum processing units and…

Quantum Physics · Physics 2024-01-05 Muhammad Asaduzzaman , Simon Catterall , Yannick Meurice , Goksu Can Toga

Quantum simulation using time evolution in phase estimation-based quantum algorithms can yield unbiased solutions of classically intractable models. However, long runtimes open such algorithms to decoherence. We show how measurement-based…

Quantum Physics · Physics 2022-08-11 Woo-Ram Lee , Zhangjie Qin , Robert Raussendorf , Eran Sela , V. W. Scarola
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