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Learning low dimensional representation is a crucial issue for many machine learning tasks such as pattern recognition and image retrieval. In this article, we present a quantum algorithm and a quantum circuit to efficiently perform…

Quantum Physics · Physics 2019-03-27 Bojia Duan , Jiabin Yuan , Juan Xu , Dan Li

Practical quantum computing will require error rates that are well below what is achievable with physical qubits. Quantum error correction offers a path to algorithmically-relevant error rates by encoding logical qubits within many physical…

Quantum Physics · Physics 2025-04-08 Rajeev Acharya , Igor Aleiner , Richard Allen , Trond I. Andersen , Markus Ansmann , Frank Arute , Kunal Arya , Abraham Asfaw , Juan Atalaya , Ryan Babbush , Dave Bacon , Joseph C. Bardin , Joao Basso , Andreas Bengtsson , Sergio Boixo , Gina Bortoli , Alexandre Bourassa , Jenna Bovaird , Leon Brill , Michael Broughton , Bob B. Buckley , David A. Buell , Tim Burger , Brian Burkett , Nicholas Bushnell , Yu Chen , Zijun Chen , Ben Chiaro , Josh Cogan , Roberto Collins , Paul Conner , William Courtney , Alexander L. Crook , Ben Curtin , Dripto M. Debroy , Alexander Del Toro Barba , Sean Demura , Andrew Dunsworth , Daniel Eppens , Catherine Erickson , Lara Faoro , Edward Farhi , Reza Fatemi , Leslie Flores Burgos , Ebrahim Forati , Austin G. Fowler , Brooks Foxen , William Giang , Craig Gidney , Dar Gilboa , Marissa Giustina , Alejandro Grajales Dau , Jonathan A. Gross , Steve Habegger , Michael C. Hamilton , Matthew P. Harrigan , Sean D. Harrington , Oscar Higgott , Jeremy Hilton , Markus Hoffmann , Sabrina Hong , Trent Huang , Ashley Huff , William J. Huggins , Lev B. Ioffe , Sergei V. Isakov , Justin Iveland , Evan Jeffrey , Zhang Jiang , Cody Jones , Pavol Juhas , Dvir Kafri , Kostyantyn Kechedzhi , Julian Kelly , Tanuj Khattar , Mostafa Khezri , Mária Kieferová , Seon Kim , Alexei Kitaev , Paul V. Klimov , Andrey R. Klots , Alexander N. Korotkov , Fedor Kostritsa , John Mark Kreikebaum , David Landhuis , Pavel Laptev , Kim-Ming Lau , Lily Laws , Joonho Lee , Kenny Lee , Brian J. Lester , Alexander Lill , Wayne Liu , Aditya Locharla , Erik Lucero , Fionn D. Malone , Jeffrey Marshall , Orion Martin , Jarrod R. McClean , Trevor Mccourt , Matt McEwen , Anthony Megrant , Bernardo Meurer Costa , Xiao Mi , Kevin C. Miao , Masoud Mohseni , Shirin Montazeri , Alexis Morvan , Emily Mount , Wojciech Mruczkiewicz , Ofer Naaman , Matthew Neeley , Charles Neill , Ani Nersisyan , Hartmut Neven , Michael Newman , Jiun How Ng , Anthony Nguyen , Murray Nguyen , Murphy Yuezhen Niu , Thomas E. O'Brien , Alex Opremcak , John Platt , Andre Petukhov , Rebecca Potter , Leonid P. Pryadko , Chris Quintana , Pedram Roushan , Nicholas C. Rubin , Negar Saei , Daniel Sank , Kannan Sankaragomathi , Kevin J. Satzinger , Henry F. Schurkus , Christopher Schuster , Michael J. Shearn , Aaron Shorter , Vladimir Shvarts , Jindra Skruzny , Vadim Smelyanskiy , W. Clarke Smith , George Sterling , Doug Strain , Marco Szalay , Alfredo Torres , Guifre Vidal , Benjamin Villalonga , Catherine Vollgraff Heidweiller , Theodore White , Cheng Xing , Z. Jamie Yao , Ping Yeh , Juhwan Yoo , Grayson Young , Adam Zalcman , Yaxing Zhang , Ningfeng Zhu

Practical applications of quantum computing depend on fault-tolerant devices with error correction. Today, the most promising approach is a class of error-correcting codes called surface codes. We study the problem of compiling quantum…

Quantum Physics · Physics 2025-04-29 Abtin Molavi , Amanda Xu , Swamit Tannu , Aws Albarghouthi

Distributed quantum computing (DQC) is a promising way to achieve large-scale quantum computing. However, mapping large-sized quantum circuits in DQC is a challenging job; for example, it is difficult to find an ideal cutting and mapping…

Quantum Physics · Physics 2025-03-03 Xinglei Dou , Lei Liu , Zhuohao Wang , Pengyu Li

Experimental groups are now fabricating quantum processors powerful enough to execute small instances of quantum algorithms and definitively demonstrate quantum error correction that extends the lifetime of quantum data, adding urgency to…

Quantum Physics · Physics 2016-09-23 Rodney Van Meter , Simon J. Devitt

Reasoning about quantum programs remains a fundamental challenge, regardless of the programming model or computational paradigm. Despite extensive research, existing verification techniques are insufficient -- even for quantum circuits, a…

Quantum Physics · Physics 2026-04-16 Nengkun Yu , Jens Palsberg , Thomas Reps

As quantum computing resources remain scarce and error rates high, minimizing the resource consumption of quantum circuits is essential for achieving practical quantum advantage. Here we consider the natural problem of, given a circuit $C$,…

Quantum Physics · Physics 2026-02-27 Adam Husted Kjelstrøm , Andreas Pavlogiannis , Jaco van de Pol

Circuit cutting is a promising technique that leverages both quantum and classical computational resources, enabling the practical execution of large quantum circuits on noisy intermediate-scale quantum (NISQ) hardware. Recent approaches…

Quantum Physics · Physics 2026-04-15 Shuwen Kan , Yanni Li , Hao Wang , Sara Mouradian , Ying Mao

As quantum computers improve in the number of qubits and fidelity, the question of when they surpass state-of-the-art classical computation for a well-defined computational task is attracting much attention. The leading candidate task for…

Quantum Physics · Physics 2021-01-05 Igor L. Markov , Aneeqa Fatima , Sergei V. Isakov , Sergio Boixo

With gate error rates in multiple technologies now below the threshold required for fault-tolerant quantum computation, the major remaining obstacle to useful quantum computation is scaling, a challenge greatly amplified by the huge…

Quantum Physics · Physics 2021-12-09 Kianna Wan , Soonwon Choi , Isaac H. Kim , Noah Shutty , Patrick Hayden

Quantum circuit optimization - the process of transforming a quantum circuit into an equivalent one with reduced time and space requirements - is crucial for maximizing the utility of current and near-future quantum devices. While most…

Quantum Physics · Physics 2026-01-23 Marcin Szyniszewski , Aleks Kissinger , Noah Linden , Paul Skrzypczyk

Mapping logical quantum circuits to Noisy Intermediate-Scale Quantum (NISQ) devices is a challenging problem which has attracted rapidly increasing interests from both quantum and classical computing communities. This paper proposes an…

Quantum Physics · Physics 2021-09-23 Sanjiang Li , Xiangzhen Zhou , Yuan Feng

Quantum-circuit optimization is essential for any practical realization of quantum computation, in order to beat decoherence. We present a scheme for implementing the final stage in the compilation of quantum circuits, i.e., for finding the…

Quantum Physics · Physics 2007-05-23 Juha J. Vartiainen , Antti O. Niskanen , Mikio Nakahara , Martti M. Salomaa

Modular quantum computing architectures are a promising alternative to monolithic QPU (Quantum Processing Unit) designs for scaling up quantum devices. They refer to a set of interconnected QPUs or cores consisting of tightly coupled…

Quantum routers (QRouters) are essential components of bucket-brigade quantum random access memory (QRAM), enabling quantum applications such as Grover's search and quantum machine learning. Despite significant theoretical advances,…

Present-day quantum systems face critical bottlenecks, including limited qubit counts, brief coherence intervals, and high susceptibility to errors-all of which obstruct the execution of large and complex circuits. The advancement of…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-13 Waylon Luo , Jiapeng Zhao , Tong Zhan , Qiang Guan

Quantum computers show promise to solve select problems otherwise intractable on classical computers. However, noisy intermediate-scale quantum (NISQ) era devices are currently prone to various sources of error. Quantum error correction…

Quantum Physics · Physics 2026-02-25 Maxwell Poster , Sayam Sethi , Jonathan Baker

It is imperative that useful quantum computers be very difficult to simulate classically; otherwise classical computers could be used for the applications envisioned for the quantum ones. Perfect quantum computers are unarguably…

Quantum Physics · Physics 2020-11-26 Yiqing Zhou , E. Miles Stoudenmire , Xavier Waintal

Quantum computing platforms are evolving to a point where placing high numbers of qubits into a single core comes with certain difficulties such as fidelity, crosstalk, and high power consumption of dense classical electronics. Utilizing…

The hope of the quantum computing field is that quantum architectures are able to scale up and realize fault-tolerant quantum computing. Due to engineering challenges, such ''cheap'' error correction may be decades away. In the meantime, we…

Quantum Physics · Physics 2025-02-17 Rutuja Kshirsagar , Amara Katabarwa , Peter D. Johnson
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