<p>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 checks, permitting correction of logical information. Recently, the development of time-dynamic approaches to error correction has enabled different codes and implementations that do not rely on static syndrome measurements. Here we experimentally demonstrate three time-dynamic implementations of the surface code, each offering a distinct solution to hardware design challenges faced by surface code realizations. First, we embed the surface code on a hexagonal lattice, reducing the necessary couplings per qubit from four to three. Second, we walk a surface code, swapping the role of data and measure qubits each round, achieving error correction with built-in removal of accumulated non-computational errors. Finally, we realize the surface code using iSWAP gates instead of the traditional CNOT, extending the set of viable gates for error correction without additional overhead. We measure the error suppression factor when scaling from distance-3 to distance-5 codes of <i>Λ</i><sub>35,hex</sub> = 2.15(2), <i>Λ</i><sub>35,walk</sub> = 1.69(6) and <i>Λ</i><sub>35,iSWAP</sub> = 1.56(2), achieving state-of-the-art error suppression for each. Our work demonstrates that dynamic circuit approaches meet the demands for fault tolerance and enable alternative strategies for scalable hardware design.</p>

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Demonstration of dynamic surface codes

  • 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

摘要

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 checks, permitting correction of logical information. Recently, the development of time-dynamic approaches to error correction has enabled different codes and implementations that do not rely on static syndrome measurements. Here we experimentally demonstrate three time-dynamic implementations of the surface code, each offering a distinct solution to hardware design challenges faced by surface code realizations. First, we embed the surface code on a hexagonal lattice, reducing the necessary couplings per qubit from four to three. Second, we walk a surface code, swapping the role of data and measure qubits each round, achieving error correction with built-in removal of accumulated non-computational errors. Finally, we realize the surface code using iSWAP gates instead of the traditional CNOT, extending the set of viable gates for error correction without additional overhead. We measure the error suppression factor when scaling from distance-3 to distance-5 codes of Λ35,hex = 2.15(2), Λ35,walk = 1.69(6) and Λ35,iSWAP = 1.56(2), achieving state-of-the-art error suppression for each. Our work demonstrates that dynamic circuit approaches meet the demands for fault tolerance and enable alternative strategies for scalable hardware design.