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Training of neural networks (NNs) has emerged as a major consumer of both computational and energy resources. Quantum computers were coined as a root to facilitate training, but no experimental evidence has been presented so far. Here we…

Quantum Physics · Physics 2025-12-02 Hao Zhang , Alex Kamenev

Quantum computing has emerged as a powerful tool to efficiently solve computational challenges, particularly in simulation and optimisation. However, hardware limitations prevent quantum computers from achieving the full theoretical…

Emerging Technologies · Computer Science 2025-05-01 Hugo Araujo , Xinyi Wang , Mohammad Mousavi , Shaukat Ali

Quantum error correction is widely thought to be the key to fault-tolerant quantum computation. However, determining the most suited encoding for unknown error channels or specific laboratory setups is highly challenging. Here, we present a…

To solve an optimization problem using a commercial quantum annealer, one has to represent the problem of interest as an Ising or a quadratic unconstrained binary optimization (QUBO) problem and submit its coefficients to the annealer,…

Quantum Physics · Physics 2023-06-13 Elijah Pelofske , Georg Hahn , Hristo Djidjev

Quantum annealing was originally proposed as an approach for solving combinatorial optimisation problems using quantum effects. D-Wave Systems has released a production model of quantum annealing hardware. However, the inherent noise and…

Disordered Systems and Neural Networks · Physics 2021-03-16 Takehito Sato , Masayuki Ohzeki , Kazuyuki Tanaka

There have been multiple attempts to demonstrate that quantum annealing and, in particular, quantum annealing on quantum annealing machines, has the potential to outperform current classical optimization algorithms implemented on CMOS…

Quantum annealers are an alternative approach to quantum computing which make use of the adiabatic theorem to efficiently find the ground state of a physically realizable Hamiltonian. Such devices are currently commercially available and…

Quantum Physics · Physics 2021-02-24 Justin Copenhaver , Adam Wasserman , Birgit Wehefritz-Kaufmann

Quantum annealing algorithms belong to the class of metaheuristic tools, applicable for solving binary optimization problems. Hardware implementations of quantum annealing, such as the quantum annealing machines produced by D-Wave Systems,…

Quantum Physics · Physics 2017-09-18 Florian Neukart , David Von Dollen , Christian Seidel , Gabriele Compostella

Compressive sensing is a novel approach that linearly samples sparse or compressible signals at a rate much below the Nyquist-Shannon sampling rate and outperforms traditional signal processing techniques in acquiring and reconstructing…

Information Theory · Computer Science 2019-01-03 Ramin Ayanzadeh , Seyedahmad Mousavi , Milton Halem , Tim Finin

Estimating partition functions of Ising spin glasses is a cornerstone of statistical physics and computational science, yet it remains classically challenging due to its $\#$P-hard complexity. While Jarzynski's equality offers a theoretical…

Quantum Physics · Physics 2026-03-18 Haowei Li , Zhiyuan Yao , Xingze Qiu

A technique inspired on quantum annealing is proposed in order to obtain the classical ground state of a spin-glass by tracking the full wavefunction of a given system within the subspace of matrix product states (MPS), using the density…

Quantum Physics · Physics 2007-05-23 Javier Rodriguez-Laguna

Deep learning models are used in critical applications, in which mistakes can have serious consequences. Therefore, it is crucial to understand how and why models generate predictions. This understanding provides useful information to check…

The promise of fault-tolerant quantum computing is challenged by environmental drift that relentlessly degrades the quality of quantum operations. The contemporary solution, halting the entire quantum computation for recalibration, is…

Quantum Physics · Physics 2026-03-10 Volodymyr Sivak , Alexis Morvan , Michael Broughton , Rodrigo G. Cortiñas , Johannes Bausch , Andrew W. Senior , Matthew Neeley , Alec Eickbusch , Noah Shutty , Laleh Aghababaie Beni , James S. Spencer , Francisco J. H Heras , Thomas Edlich , Dmitry Abanin , Amira Abbas , Rajeev Acharya , Georg Aigeldinger , Ross Alcaraz , Sayra Alcaraz , Trond I. Andersen , Markus Ansmann , Frank Arute , Kunal Arya , Walt Askew , Nikita Astrakhantsev , Juan Atalaya , Brian Ballard , Joseph C. Bardin , Hector Bates , Andreas Bengtsson , Majid Bigdeli Karimi , Alexander Bilmes , Simon Bilodeau , Felix Borjans , Alexandre Bourassa , Jenna Bovaird , Dylan Bowers , Leon Brill , Peter Brooks , David A. Browne , Brett Buchea , Bob B. Buckley , Tim Burger , Brian Burkett , Nicholas Bushnell , Jamal Busnaina , Anthony Cabrera , Juan Campero , Hung-Shen Chang , Silas Chen , Ben Chiaro , Liang-Ying Chih , Agnetta Y. Cleland , Bryan Cochrane , Matt Cockrell , Josh Cogan , Roberto Collins , Paul Conner , Harold Cook , William Courtney , Alexander L. Crook , Ben Curtin , Martin Damyanov , Sayan Das , Dripto M. Debroy , Sean Demura , Paul Donohoe , Ilya Drozdov , Andrew Dunsworth , Valerie Ehimhen , Aviv Moshe Elbag , Lior Ella , Mahmoud Elzouka , David Enriquez , Catherine Erickson , Vinicius S. Ferreira , Marcos Flores , Leslie Flores Burgos , Ebrahim Forati , Jeremiah Ford , Austin G. Fowler , Brooks Foxen , Masaya Fukami , Alan Wing Lun Fung , Lenny Fuste , Suhas Ganjam , Gonzalo Garcia , Christopher Garrick , Robert Gasca , Helge Gehring , Robert Geiger , Élie Genois , William Giang , Dar Gilboa , James E. Goeders , Edward C. Gonzales , Raja Gosula , Stijn J. de Graaf , Alejandro Grajales Dau , Dietrich Graumann , Joel Grebel , Alex Greene , Jonathan A. Gross , Jose Guerrero , Loïck Le Guevel , Tan Ha , Steve Habegger , Tanner Hadick , Ali Hadjikhani , Michael C. Hamilton , Matthew P. Harrigan , Sean D. Harrington , Jeanne Hartshorn , Stephen Heslin , Paula Heu , Oscar Higgott , Reno Hiltermann , Hsin-Yuan Huang , Mike Hucka , Christopher Hudspeth , Ashley Huff , William J. Huggins , Evan Jeffrey , Shaun Jevons , Zhang Jiang , Xiaoxuan Jin , Chaitali Joshi , Pavol Juhas , Andreas Kabel , Dvir Kafri , Hui Kang , Kiseo Kang , Amir H. Karamlou , Ryan Kaufman , Kostyantyn Kechedzhi , Tanuj Khattar , Mostafa Khezri , Seon Kim , Can M. Knaut , Bryce Kobrin , Fedor Kostritsa , John Mark Kreikebaum , Ryuho Kudo , Ben Kueffler , Arun Kumar , Vladislav D. Kurilovich , Vitali Kutsko , Nathan Lacroix , David Landhuis , Tiano Lange-Dei , Brandon W. Langley , Pavel Laptev , Kim-Ming Lau , Justin Ledford , Joy Lee , Kenny Lee , Brian J. Lester , Wendy Leung , Lily Li , Wing Yan Li , Ming Li , Alexander T. Lill , William P. Livingston , Matthew T. Lloyd , Aditya Locharla , Laura De Lorenzo , Daniel Lundahl , Aaron Lunt , Sid Madhuk , Aniket Maiti , Ashley Maloney , Salvatore Mandrà , Leigh S. Martin , Orion Martin , Eric Mascot , Paul Masih Das , Dmitri Maslov , Melvin Mathews , Cameron Maxfield , Jarrod R. McClean , Matt McEwen , Seneca Meeks , Kevin C. Miao , Zlatko K. Minev , Reza Molavi , Sebastian Molina , Shirin Montazeri , Charles Neill , Michael Newman , Anthony Nguyen , Murray Nguyen , Chia-Hung Ni , Murphy Yuezhen Niu , Logan Oas , Raymond Orosco , Kristoffer Ottosson , Alice Pagano , Agustin Di Paolo , Sherman Peek , David Peterson , Alex Pizzuto , Elias Portoles , Rebecca Potter , Orion Pritchard , Michael Qian , Chris Quintana , Arpit Ranadive , Matthew J. Reagor , Rachel Resnick , David M. Rhodes , Daniel Riley , Gabrielle Roberts , Roberto Rodriguez , Emma Ropes , Lucia B. De Rose , Eliott Rosenberg , Emma Rosenfeld , Dario Rosenstock , Elizabeth Rossi , Pedram Roushan , David A. Rower , Robert Salazar , Kannan Sankaragomathi , Murat Can Sarihan , Kevin J. Satzinger , Max Schaefer , Sebastian Schroeder , Henry F. Schurkus , Aria Shahingohar , Michael J. Shearn , Aaron Shorter , Vladimir Shvarts , Spencer Small , W. Clarke Smith , David A. Sobel , Barrett Spells , Sofia Springer , George Sterling , Jordan Suchard , Aaron Szasz , Alexander Sztein , Madeline Taylor , Jothi Priyanka Thiruraman , Douglas Thor , Dogan Timucin , Eifu Tomita , Alfredo Torres , M. Mert Torunbalci , Hao Tran , Abeer Vaishnav , Justin Vargas , Sergey Vdovichev , Guifre Vidal , Catherine Vollgraff Heidweiller , Meghan Voorhees , Steven Waltman , Jonathan Waltz , Shannon X. Wang , Brayden Ware , James D. Watson , Yonghua Wei , Travis Weidel , Theodore White , Kristi Wong , Bryan W. K. Woo , Christopher J. Wood , Maddy Woodson , Cheng Xing , Z. Jamie Yao , Ping Yeh , Bicheng Ying , Juhwan Yoo , Noureldin Yosri , Elliot Young , Grayson Young , Adam Zalcman , Ran Zhang , Yaxing Zhang , Ningfeng Zhu , Nicholas Zobrist , Zhenjie Zou , Ryan Babbush , Dave Bacon , Sergio Boixo , Yu Chen , Zijun Chen , Michel Devoret , Monica Hansen , Jeremy Hilton , Cody Jones , Julian Kelly , Alexander N. Korotkov , Erik Lucero , Anthony Megrant , Hartmut Neven , William D. Oliver , Ganesh Ramachandran , Vadim Smelyanskiy , Paul V. Klimov

Optimal parameter setting for applications problems embedded into hardware graphs is key to practical quantum annealers (QA). Embedding chains typically crop up as harmful Griffiths phases, but can be used as a resource as we show here: to…

Quantum Physics · Physics 2021-01-04 Sergey Knysh , Eugeniu Plamadeala , Davide Venturelli

Quantum annealing in a real device is necessarily susceptible to errors due to diabatic transitions and thermal noise. Nested quantum annealing correction is a method to suppress errors by using an all-to-all penalty coupling among a set of…

Quantum Physics · Physics 2019-06-19 Shunji Matsuura , Hidetoshi Nishimori , Walter Vinci , Daniel A. Lidar

I describe how real quantum annealers may be used to perform local (in state space) searches around specified states, rather than the global searches traditionally implemented in the quantum annealing algorithm. The quantum annealing…

Emerging Technologies · Computer Science 2016-06-23 Nicholas Chancellor

Quantum annealing is a specialized type of quantum computation that aims to use quantum fluctuations in order to obtain global minimum solutions of combinatorial optimization problems. Programmable D-Wave quantum annealers are available as…

Quantum Physics · Physics 2023-10-10 Elijah Pelofske , Georg Hahn , Hristo Djidjev

I describe how real quantum annealers may be used to perform local (in state space) searches around specified states, rather than the global searches traditionally implemented in the quantum annealing algorithm. Such protocols will have…

Quantum Physics · Physics 2017-06-26 Nicholas Chancellor

Ising machines have the potential to realize fast and highly accurate solvers for combinatorial optimization problems. They are classified based on their internal algorithms. Examples include simulated-annealing-based Ising machines…

Statistical Mechanics · Physics 2023-11-15 Shuta Kikuchi , Nozomu Togawa , Shu Tanaka

Quantum annealing is a quantum algorithm to solve combinatorial optimization problems. In the current quantum annealing devices, the dynamic range of the input Ising Hamiltonian, defined as the ratio of the largest to the smallest…

Quantum Physics · Physics 2026-04-07 Kentaro Ohno , Nozomu Togawa