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The surface code is a powerful quantum error correcting code that can be defined on a 2-D square lattice of qubits with only nearest neighbor interactions. Syndrome and data qubits form a checkerboard pattern. Information about errors is…

Quantum Physics · Physics 2010-11-24 Austin G. Fowler , David S. Wang , Lloyd C. L. Hollenberg

The repetition code is an important primitive for the techniques of quantum error correction. Here we implement repetition codes of at most $15$ qubits on the $16$ qubit \emph{ibmqx3} device. Each experiment is run for a single round of…

Quantum Physics · Physics 2018-08-31 James R. Wootton , Daniel Loss

Ultracold trapped atomic ions excited into highly energetic Rydberg states constitute a promising platform for scalable quantum information processing. Elementary building blocks for such tasks are high-fidelity and sufficiently fast…

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

A successful quantum error correction protocol would allow quantum computers to run algorithms without suffering from the effects of noise. However, fully fault-tolerant quantum error correction is too resource intensive for existing…

Quantum Physics · Physics 2024-07-29 Chris N. Self , Marcello Benedetti , David Amaro

The field of quantum computation currently lacks a formal proof of experimental feasibility. Qubits are fragile and sophisticated quantum error correction is required to achieve reliable quantum computation. The surface code is a promising…

Quantum Physics · Physics 2012-12-04 Austin G. Fowler

Quantum computers based on rare-earth-ion-doped crystals show promising properties in terms of scalability and connectivity if single ions can be used as qubits. Through simulations, we investigate gate operations on such qubits and discuss…

Quantum Physics · Physics 2021-12-15 Adam Kinos , Lars Rippe , Stefan Kröll , Andreas Walther

We consider the surface code under errors featuring both coherent and incoherent components and study the coherence of the corresponding logical noise channel and how this impacts information-theoretic measures of code performance, namely…

Quantum Physics · Physics 2025-12-03 Jan Behrends , Benjamin Béri

We simulate four quantum error correcting codes under error models inspired by realistic noise sources in near-term ion trap quantum computers: $T_2$ dephasing, gate overrotation, and crosstalk. We use this data to find preferred codes for…

Quantum Physics · Physics 2020-03-17 Dripto M. Debroy , Muyuan Li , Shilin Huang , Kenneth R. Brown

Ion-trap quantum computers offer a large number of possible qubit couplings, each of which requires individual calibration and can be misconfigured. To enhance the duty cycle of an ion trap, we develop a strategy that diagnoses individual…

Quantum Physics · Physics 2021-12-14 Andrii O. Maksymov , Jason Nguyen , Vandiver Chaplin , Yunseong Nam , Igor L. Markov

Trapped-ion systems are one of the leading platforms for quantum information processing, where a key challenge is to scale up system size while maintaining high-fidelity two-qubit operations. A promising approach is to build…

Quantum Physics · Physics 2026-03-13 Xingyu Zhao , Ji Bian , Yi Li , Yue Li , Mengxiang Zhang , Yiheng Lin

We consider realistic, multi-parameter error models and investigate the performance of the surface code for three possible fault-tolerant superconducting quantum computer architectures. We map amplitude and phase damping to a diagonal Pauli…

Quantum Physics · Physics 2012-12-21 Joydip Ghosh , Austin G. Fowler , Michael R. Geller

We realize Surface Code quantum memories for nearest-neighbor qubits with always-on Ising interactions. This is done by utilizing multi-qubit gates that mimic the functionality of several gates. The previously proposed Surface Code memories…

Quantum Physics · Physics 2019-10-22 Sahar Daraeizadeh , Sarah Mostame , Preethika Kumar Eslami , Marek Perkowski , Xiaoyu Song

Two-level ionic systems, where quantum information is encoded in long lived states (qubits), are discussed extensively for quantum information processing. We present a collection of measurements which characterize the stability of a qubit…

The yield of physical qubits fabricated in the laboratory is much lower than that of classical transistors in production semiconductor fabrication. Actual implementations of quantum computers will be susceptible to loss in the form of…

Quantum Physics · Physics 2018-01-24 Shota Nagayama , Austin G. Fowler , Dominic Horsman , Simon J. Devitt , Rodney Van Meter

Individual trapped atomic qubits represent one of the most promising technologies to scale quantum computers, owing to their negligible idle errors and the ability to implement a full set of reconfigurable gate operations via focused…

Quantum Physics · Physics 2020-07-15 M. Cetina , L. N. Egan , C. A. Noel , M. L. Goldman , A. R. Risinger , D. Zhu , D. Biswas , C. Monroe

Practical quantum computers will require resource-efficient error-correcting codes. The rotated surface code uses approximately half the number of qubits as the unrotated surface code to create a logical qubit with the same error-correcting…

Quantum Physics · Physics 2024-10-14 Anthony Ryan O'Rourke , Simon Devitt

A remarkable characteristic of quantum computing is the potential for reliable computation despite faulty qubits. This can be achieved through quantum error correction, which is typically implemented by repeatedly applying static syndrome…

Quantum Physics · Physics 2025-06-23 Alec Eickbusch , Matt McEwen , Volodymyr Sivak , Alexandre Bourassa , Juan Atalaya , Jahan Claes , Dvir Kafri , Craig Gidney , Christopher W. Warren , Jonathan Gross , Alex Opremcak , Nicholas Zobrist , Kevin C. Miao , Gabrielle Roberts , Kevin J. Satzinger , Andreas Bengtsson , Matthew Neeley , William P. Livingston , Alex Greene , Rajeev Acharya , Laleh Aghababaie Beni , Georg Aigeldinger , Ross Alcaraz , Trond I. Andersen , Markus Ansmann , Frank Arute , Kunal Arya , Abraham Asfaw , Ryan Babbush , Brian Ballard , Joseph C. Bardin , Alexander Bilmes , Jenna Bovaird , Dylan Bowers , Leon Brill , Michael Broughton , David A. Browne , Brett Buchea , Bob B. Buckley , Tim Burger , Brian Burkett , Nicholas Bushnell , Anthony Cabrera , Juan Campero , Hung-Shen Chang , Ben Chiaro , Liang-Ying Chih , Agnetta Y. Cleland , Josh Cogan , Roberto Collins , Paul Conner , William Courtney , Alexander L. Crook , Ben Curtin , Sayan Das , Alexander Del Toro Barba , Sean Demura , Laura De Lorenzo , Agustin Di Paolo , Paul Donohoe , Ilya K. Drozdov , Andrew Dunsworth , Aviv Moshe Elbag , Mahmoud Elzouka , Catherine Erickson , Vinicius S. Ferreira , Leslie Flores Burgos , Ebrahim Forati , Austin G. Fowler , Brooks Foxen , Suhas Ganjam , Gonzalo Garcia , Robert Gasca , Élie Genois , William Giang , Dar Gilboa , Raja Gosula , Alejandro Grajales Dau , Dietrich Graumann , Tan Ha , Steve Habegger , Michael C. Hamilton , Monica Hansen , Matthew P. Harrigan , Sean D. Harrington , Stephen Heslin , Paula Heu , Oscar Higgott , Reno Hiltermann , Jeremy Hilton , Hsin-Yuan Huang , Ashley Huff , William J. Huggins , Evan Jeffrey , Zhang Jiang , Xiaoxuan Jin , Cody Jones , Chaitali Joshi , Pavol Juhas , Andreas Kabel , Hui Kang , Amir H. Karamlou , Kostyantyn Kechedzhi , Trupti Khaire , Tanuj Khattar , Mostafa Khezri , Seon Kim , Bryce Kobrin , Alexander N. Korotkov , Fedor Kostritsa , John Mark Kreikebaum , Vladislav D. Kurilovich , David Landhuis , Tiano Lange-Dei , Brandon W. Langley , Kim-Ming Lau , Justin Ledford , Kenny Lee , Brian J. Lester , Loïck Le Guevel , Wing Yan Li , Alexander T. Lill , Aditya Locharla , Erik Lucero , Daniel Lundahl , Aaron Lunt , Sid Madhuk , Ashley Maloney , Salvatore Mandrà , Leigh S. Martin , Orion Martin , Cameron Maxfield , Jarrod R. McClean , Seneca Meeks , Anthony Megrant , Reza Molavi , Sebastian Molina , Shirin Montazeri , Ramis Movassagh , Michael Newman , Anthony Nguyen , Murray Nguyen , Chia-Hung Ni , Logan Oas , Raymond Orosco , Kristoffer Ottosson , Alex Pizzuto , Rebecca Potter , Orion Pritchard , Chris Quintana , Ganesh Ramachandran , Matthew J. Reagor , David M. Rhodes , Eliott Rosenberg , Elizabeth Rossi , Kannan Sankaragomathi , Henry F. Schurkus , Michael J. Shearn , Aaron Shorter , Noah Shutty , Vladimir Shvarts , Spencer Small , W. Clarke Smith , Sofia Springer , George Sterling , Jordan Suchard , Aaron Szasz , Alex Sztein , Douglas Thor , Eifu Tomita , Alfredo Torres , M. Mert Torunbalci , Abeer Vaishnav , Justin Vargas , Sergey Vdovichev , Guifre Vidal , Catherine Vollgraff Heidweiller , Steven Waltman , Jonathan Waltz , Shannon X. Wang , Brayden Ware , Travis Weidel , Theodore White , Kristi Wong , Bryan W. K. Woo , Maddy Woodson , Cheng Xing , Z. Jamie Yao , Ping Yeh , Bicheng Ying , Juhwan Yoo , Noureldin Yosri , Grayson Young , Adam Zalcman , Yaxing Zhang , Ningfeng Zhu , Sergio Boixo , Julian Kelly , Vadim Smelyanskiy , Hartmut Neven , Dave Bacon , Zijun Chen , Paul V. Klimov , Pedram Roushan , Charles Neill , Yu Chen , Alexis Morvan

We consider stabilizer measurements for surface codes with neutral atoms and identify gate protocols that minimize logical error rates in the presence of a fundamental error source -- spontaneous emission from Rydberg states. We demonstrate…

Quantum Physics · Physics 2026-03-18 Sven Jandura , Laura Pecorari , Guido Pupillo

Fault-tolerant quantum computers which can solve hard problems rely on quantum error correction. One of the most promising error correction codes is the surface code, which requires universal gate fidelities exceeding the error correction…