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We consider the problem of predictive monitoring (PM), i.e., predicting at runtime the satisfaction of a desired property from the current system's state. Due to its relevance for runtime safety assurance and online control, PM methods need…

Systems and Control · Electrical Eng. & Systems 2023-04-07 Francesca Cairoli , Nicola Paoletti , Luca Bortolussi

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

Characterizing quantum processes is essential for unlocking the potential of quantum devices. However, standard quantum process tomography is resource-intensive and becomes infeasible on large-scale systems. Despite alternative approaches…

Quantum Physics · Physics 2026-02-24 Hao Zhan , Zongbo Bao , Zekun Ye , Qianyi Wang , Minghao Mi , Penghui Yao , Lijian Zhang

A wide variety of positioning and ranging procedures are based on repeatedly sending electromagnetic pulses through space and measuring their time of arrival. This paper shows that quantum entanglement and squeezing can be employed to…

Quantum Physics · Physics 2009-11-07 V. Giovannetti , S. Lloyd , L. Maccone

Quantum signal processing (QSP) and its extensions are increasingly popular frameworks for developing quantum algorithms. Yet QSP implementations still struggle to complete a classical pre-processing step ('QSP-processing') that determines…

Quantum Physics · Physics 2025-06-04 S. E. Skelton

We present a benchmarking protocol for universal quantum computers, achieved through the simulation of random dynamical quantum maps. This protocol provides a holistic assessment of system-wide error rates, encapsulating both gate…

Quantum Physics · Physics 2024-04-30 Daniel Volya , Prabhat Mishra

Quantum Hamiltonian simulation is one of the most promising applications of quantum computing and forms the basis for many quantum algorithms. Benchmarking them is an important gauge of progress in quantum computing technology. We present a…

The quantum kernel method has attracted considerable attention in the field of quantum machine learning. However, exploring the applicability of quantum kernels in more realistic settings has been hindered by the number of physical qubits…

Quantum Physics · Physics 2023-09-12 Teppei Suzuki , Tsubasa Miyazaki , Toshiki Inaritai , Takahiro Otsuka

The development and spread of entanglement in complex quantum systems is central to exploring many-body phenomena out of equilibrium. Measuring entanglement dynamics can shed light on information scrambling and thermalisation, namely on…

To date, all proposed quantum algorithms for simulating quantum field theory (QFT) simulate (continuous-time) Hamiltonian lattice QFT as a stepping stone. Two overlooked issues are how large we can take the timestep in these simulations…

Quantum Physics · Physics 2020-07-27 Terry Farrelly , Julien Streich

As quantum devices make steady progress towards intermediate scale and fault-tolerant quantum computing, it is essential to develop rigorous and efficient measurement protocols that account for known sources of noise. Most existing quantum…

Quantum Physics · Physics 2024-01-22 M. J. Gullans , M. Caranti , A. R. Mills , J. R. Petta

Quantum Signal Processing (QSP) has emerged as a promising framework to manipulate and determine properties of quantum systems. QSP not only unifies most existing quantum algorithms but also provides tools to discover new ones. Quantum…

Quantum Physics · Physics 2023-09-12 V. M. Bastidas , S. Zeytinoğlu , Z. M. Rossi , I. L. Chuang , W. J. Munro

As present day quantum hardware is limited by various noise mechanisms, quantum advantage can only be reached in the near-term by designing noise-resilient quantum algorithms. In this work, we employ state-of-the-art quantum process…

Quantum Physics · Physics 2025-10-01 Maria Dinca , David J. Luitz , Maxime Debertolis

While Quantum Machine Learning (QML) holds great potential, its practical realization on Noisy Intermediate-Scale Quantum (NISQ) hardware has been hindered by the limitations of variational quantum circuits (VQCs). Recent evidence suggests…

Quantum processors are now able to run quantum circuits that are infeasible to simulate classically, creating a need for benchmarks that assess a quantum processor's rate of errors when running these circuits. Here, we introduce a general…

Quantum Physics · Physics 2025-10-29 Jordan Hines , Timothy Proctor

A strong analog classical simulation of general quantum evolution is proposed, which serves as a novel scheme in quantum computation and simulation. The scheme employs the approach of geometric quantum mechanics and quantum informational…

Quantum Physics · Physics 2017-03-16 Dong-Sheng Wang

The numerical simulation of dynamical phenomena in interacting quantum systems is a notoriously hard problem. Although a number of promising numerical methods exist, they often have limited applicability due to the growth of entanglement or…

Quantum Physics · Physics 2021-09-08 Stefano De Nicola

The impressive pace of advance of quantum technology calls for robust and scalable techniques for the characterization and validation of quantum hardware. Quantum process tomography, the reconstruction of an unknown quantum channel from…

Understanding how interacting particles approach thermal equilibrium is a major challenge of quantum simulators. Unlocking the full potential of such systems toward this goal requires flexible initial state preparation, precise time…

Quantum Physics · Physics 2024-07-10 Trond I. Andersen , Nikita Astrakhantsev , Amir H. Karamlou , Julia Berndtsson , Johannes Motruk , Aaron Szasz , Jonathan A. Gross , Alexander Schuckert , Tom Westerhout , Yaxing Zhang , Ebrahim Forati , Dario Rossi , Bryce Kobrin , Agustin Di Paolo , Andrey R. Klots , Ilya Drozdov , Vladislav D. Kurilovich , Andre Petukhov , Lev B. Ioffe , Andreas Elben , Aniket Rath , Vittorio Vitale , Benoit Vermersch , Rajeev Acharya , Laleh Aghababaie Beni , Kyle Anderson , Markus Ansmann , Frank Arute , Kunal Arya , Abraham Asfaw , Juan Atalaya , Brian Ballard , Joseph C. Bardin , Andreas Bengtsson , Alexander Bilmes , Gina Bortoli , Alexandre Bourassa , Jenna Bovaird , Leon Brill , Michael Broughton , David A. Browne , Brett Buchea , Bob B. Buckley , David A. Buell , Tim Burger , Brian Burkett , Nicholas Bushnell , Anthony Cabrera , Juan Campero , Hung-Shen Chang , Zijun Chen , Ben Chiaro , Jahan Claes , Agnetta Y. Cleland , Josh Cogan , Roberto Collins , Paul Conner , William Courtney , Alexander L. Crook , Sayan Das , Dripto M. Debroy , Laura De Lorenzo , Alexander Del Toro Barba , Sean Demura , Paul Donohoe , Andrew Dunsworth , Clint Earle , Alec Eickbusch , Aviv Moshe Elbag , Mahmoud Elzouka , Catherine Erickson , Lara Faoro , Reza Fatemi , Vinicius S. Ferreira , Leslie Flores Burgos , Austin G. Fowler , Brooks Foxen , Suhas Ganjam , Robert Gasca , William Giang , Craig Gidney , Dar Gilboa , Marissa Giustina , Raja Gosula , Alejandro Grajales Dau , Dietrich Graumann , Alex Greene , Steve Habegger , Michael C. Hamilton , Monica Hansen , Matthew P. Harrigan , Sean D. Harrington , Stephen Heslin , Paula Heu , Gordon Hill , Markus R. Hoffmann , Hsin-Yuan Huang , Trent Huang , Ashley Huff , William J. Huggins , Sergei V. Isakov , Evan Jeffrey , Zhang Jiang , Cody Jones , Stephen Jordan , Chaitali Joshi , Pavol Juhas , Dvir Kafri , Hui Kang , Kostyantyn Kechedzhi , Trupti Khaire , Tanuj Khattar , Mostafa Khezri , Mária Kieferová , Seon Kim , Alexei Kitaev , Paul V. Klimov , Alexander N. Korotkov , Fedor Kostritsa , John Mark Kreikebaum , David Landhuis , Brandon W. Langley , Pavel Laptev , Kim-Ming Lau , Loïck Le Guevel , Justin Ledford , Joonho Lee , Kenny Lee , Yuri D. Lensky , Brian J. Lester , Wing Yan Li , Alexander T. Lill , Wayne Liu , William P. Livingston , Aditya Locharla , Daniel Lundahl , Aaron Lunt , Sid Madhuk , Ashley Maloney , Salvatore Mandrà , Leigh S. Martin , Orion Martin , Steven Martin , Cameron Maxfield , Jarrod R. McClean , Matt McEwen , Seneca Meeks , Kevin C. Miao , Amanda Mieszala , Sebastian Molina , Shirin Montazeri , Alexis Morvan , Ramis Movassagh , Charles Neill , Ani Nersisyan , Michael Newman , Anthony Nguyen , Murray Nguyen , Chia-Hung Ni , Murphy Yuezhen Niu , William D. Oliver , Kristoffer Ottosson , Alex Pizzuto , Rebecca Potter , Orion Pritchard , Leonid P. Pryadko , Chris Quintana , Matthew J. Reagor , David M. Rhodes , Gabrielle Roberts , Charles Rocque , Eliott Rosenberg , Nicholas C. Rubin , Negar Saei , Kannan Sankaragomathi , Kevin J. Satzinger , Henry F. Schurkus , Christopher Schuster , Michael J. Shearn , Aaron Shorter , Noah Shutty , Vladimir Shvarts , Volodymyr Sivak , Jindra Skruzny , Spencer Small , W. Clarke Smith , Sofia Springer , George Sterling , Jordan Suchard , Marco Szalay , Alex Sztein , Douglas Thor , Alfredo Torres , M. Mert Torunbalci , Abeer Vaishnav , Sergey Vdovichev , Benjamin Villalonga , Catherine Vollgraff Heidweiller , Steven Waltman , Shannon X. Wang , Theodore White , Kristi Wong , Bryan W. Woo , Cheng Xing , Z. Jamie Yao , Ping Yeh , Bicheng Ying , Juhwan Yoo , Noureldin Yosri , Grayson Young , Adam Zalcman , Ningfeng Zhu , Nicholas Zobrist , Hartmut Neven , Ryan Babbush , Sergio Boixo , Jeremy Hilton , Erik Lucero , Anthony Megrant , Julian Kelly , Yu Chen , Vadim Smelyanskiy , Guifre Vidal , Pedram Roushan , Andreas M. Lauchli , Dmitry A. Abanin , Xiao Mi

Simulation of continuous time evolution requires time discretization on both classical and quantum computers. A finer time step improves simulation precision, but it inevitably leads to increased computational efforts. This is particularly…

Quantum Physics · Physics 2023-08-16 Hongzheng Zhao , Marin Bukov , Markus Heyl , Roderich Moessner