Hardware-efficient quantum error correction via concatenated bosonic qubits Article Swipe

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Harald Putterman , Kyungjoo Noh , Connor T. Hann , Gregory S. MacCabe , Shahriar Aghaeimeibodi , Rishi N. Patel , Menyoung Lee , William M. Jones , Hesam Moradinejad , Roberto Rodríguez , Neha Mahuli , J. Rose , John Clai Owens , Harry Levine , Emma Rosenfeld , Philip Reinhold , Lorenzo Moncelsi , Joshua Ari Alcid , Nasser Alidoust , Patricio Arrangoiz-Arriola , James W. Barnett , Przemysław Bienias , Hugh A. Carson , Cliff Chen , Li Chen , Harutiun Chinkezian , Eric M. Chisholm , Ming-Han Chou , Aashish A. Clerk , Andrew J. Clifford , R. Cosmic , Ana Valdés Curiel , Erik Davis , Laura DeLorenzo , John D'Ewart , Art Diky , Noel D’Souza , Philipp T. Dumitrescu , Shmuel Eisenmann , E. S. Elkhouly , Glen Evenbly , Michael Fang , Yawen Fang , Matthew J. Fling , W C Fon , Gabriel García , Alexey V. Gorshkov , James P. Grant , Mason Gray , Sebastian Grimberg , Arne L. Grimsmo , Arbel Haim , J. L. Hand , He Yuan , Mike Hernández , David Hover , Jimmy S. C. Hung , Matthew A. Hunt , Jana M. Iverson , Ignace Jarrige , Jean-Christophe Jaskula , Liang Jiang , Mahmoud Kalaee , R. B. Karabalin , Peter J. Karalekas , Andrew J. Keller , Amirhossein Khalajhedayati , Aleksander Kubica , Hanho Lee , Catherine Leroux , Simon Lieu , Victoria Ly , Keven Villegas Madrigal , Guillaume Marcaud , Gavin McCabe , Chris Miles , Ashley Milsted , Joaquín Minguzzi , Anurag Mishra , Biswaroop Mukherjee , Mahdi Naghiloo , Eric Oblepias , Gerson Ortuno , Jason Pagdilao , Nicola Pancotti , Marco A. Panduro , JP Paquette , Minje Park , G. A. Peairs , David Perello , Eric C. Peterson , Salvatore Ponte , John Preskill , Jixin Qiao , Gil Refael , Rachel Resnick , Alex Retzker , Omar A. Reyna , M. C. Runyan , Colm A. Ryan ·

YOU? · · 2024 · Open Access · · DOI: https://doi.org/10.48550/arxiv.2409.13025

In order to solve problems of practical importance, quantum computers will likely need to incorporate quantum error correction, where a logical qubit is redundantly encoded in many noisy physical qubits. The large physical-qubit overhead typically associated with error correction motivates the search for more hardware-efficient approaches. Here, using a microfabricated superconducting quantum circuit, we realize a logical qubit memory formed from the concatenation of encoded bosonic cat qubits with an outer repetition code of distance $d=5$. The bosonic cat qubits are passively protected against bit flips using a stabilizing circuit. Cat-qubit phase-flip errors are corrected by the repetition code which uses ancilla transmons for syndrome measurement. We realize a noise-biased CX gate which ensures bit-flip error suppression is maintained during error correction. We study the performance and scaling of the logical qubit memory, finding that the phase-flip correcting repetition code operates below threshold, with logical phase-flip error decreasing with code distance from $d=3$ to $d=5$. Concurrently, the logical bit-flip error is suppressed with increasing cat-qubit mean photon number. The minimum measured logical error per cycle is on average $1.75(2)\%$ for the distance-3 code sections, and $1.65(3)\%$ for the longer distance-5 code, demonstrating the effectiveness of bit-flip error suppression throughout the error correction cycle. These results, where the intrinsic error suppression of the bosonic encodings allows us to use a hardware-efficient outer error correcting code, indicate that concatenated bosonic codes are a compelling paradigm for reaching fault-tolerant quantum computation.

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Computer Science

Error Detection And Correction

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Qubit Quantum error correction Computer science Error detection and correction Quantum Quantum mechanics Algorithm Physics

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Type: preprint
Language: en
Landing Page: http://arxiv.org/abs/2409.13025
PDF: https://arxiv.org/pdf/2409.13025
OA Status: green
Cited By: 3
Related Works: 10
OpenAlex ID: https://openalex.org/W4403754865

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DOI: https://doi.org/10.48550/arxiv.2409.13025

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Title: Hardware-efficient quantum error correction via concatenated bosonic qubits

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Type: preprint

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Language: en

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Publication year: 2024

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Publication date: 2024-09-19

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Authors: Harald Putterman, Kyungjoo Noh, Connor T. Hann, Gregory S. MacCabe, Shahriar Aghaeimeibodi, Rishi N. Patel, Menyoung Lee, William M. Jones, Hesam Moradinejad, Roberto Rodríguez, Neha Mahuli, J. Rose, John Clai Owens, Harry Levine, Emma Rosenfeld, Philip Reinhold, Lorenzo Moncelsi, Joshua Ari Alcid, Nasser Alidoust, Patricio Arrangoiz-Arriola, James W. Barnett, Przemysław Bienias, Hugh A. Carson, Cliff Chen, Li Chen, Harutiun Chinkezian, Eric M. Chisholm, Ming-Han Chou, Aashish A. Clerk, Andrew J. Clifford, R. Cosmic, Ana Valdés Curiel, Erik Davis, Laura DeLorenzo, John D'Ewart, Art Diky, Noel D’Souza, Philipp T. Dumitrescu, Shmuel Eisenmann, E. S. Elkhouly, Glen Evenbly, Michael Fang, Yawen Fang, Matthew J. Fling, W C Fon, Gabriel García, Alexey V. Gorshkov, James P. Grant, Mason Gray, Sebastian Grimberg, Arne L. Grimsmo, Arbel Haim, J. L. Hand, He Yuan, Mike Hernández, David Hover, Jimmy S. C. Hung, Matthew A. Hunt, Jana M. Iverson, Ignace Jarrige, Jean-Christophe Jaskula, Liang Jiang, Mahmoud Kalaee, R. B. Karabalin, Peter J. Karalekas, Andrew J. Keller, Amirhossein Khalajhedayati, Aleksander Kubica, Hanho Lee, Catherine Leroux, Simon Lieu, Victoria Ly, Keven Villegas Madrigal, Guillaume Marcaud, Gavin McCabe, Chris Miles, Ashley Milsted, Joaquín Minguzzi, Anurag Mishra, Biswaroop Mukherjee, Mahdi Naghiloo, Eric Oblepias, Gerson Ortuno, Jason Pagdilao, Nicola Pancotti, Marco A. Panduro, JP Paquette, Minje Park, G. A. Peairs, David Perello, Eric C. Peterson, Salvatore Ponte, John Preskill, Jixin Qiao, Gil Refael, Rachel Resnick, Alex Retzker, Omar A. Reyna, M. C. Runyan, Colm A. Ryan

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Landing page: https://arxiv.org/abs/2409.13025

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Concepts: Qubit, Quantum error correction, Computer science, Error detection and correction, Quantum, Quantum mechanics, Algorithm, Physics

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Cited by: 3

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