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arxiv: 2211.04728 · v1 · pith:JAW7QESBnew · submitted 2022-11-09 · 🪐 quant-ph

Overcoming leakage in scalable quantum error correction

Kevin C. Miao , Matt McEwen , Juan Atalaya , Dvir Kafri , Leonid P. Pryadko , Andreas Bengtsson , Alex Opremcak , Kevin J. Satzinger
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Zijun Chen Paul V. Klimov Chris Quintana Rajeev Acharya Kyle Anderson Markus Ansmann Frank Arute Kunal Arya Abraham Asfaw Joseph C. Bardin Alexandre Bourassa Jenna Bovaird Leon Brill Bob B. Buckley David A. Buell Tim Burger Brian Burkett Nicholas Bushnell Juan Campero Ben Chiaro Roberto Collins Paul Conner Alexander L. Crook Ben Curtin Dripto M. Debroy Sean Demura Andrew Dunsworth Catherine Erickson Reza Fatemi Vinicius S. Ferreira Leslie Flores Burgos Ebrahim Forati Austin G. Fowler Brooks Foxen Gonzalo Garcia William Giang Craig Gidney Marissa Giustina Raja Gosula Alejandro Grajales Dau Jonathan A. Gross Michael C. Hamilton Sean D. Harrington Paula Heu Jeremy Hilton Markus R. Hoffmann Sabrina Hong Trent Huang Ashley Huff Justin Iveland Evan Jeffrey Zhang Jiang Cody Jones Julian Kelly Seon Kim Fedor Kostritsa John Mark Kreikebaum David Landhuis Pavel Laptev Lily Laws Kenny Lee Brian J. Lester Alexander T. Lill Wayne Liu Aditya Locharla Erik Lucero Steven Martin Anthony Megrant Xiao Mi Shirin Montazeri Alexis Morvan Ofer Naaman Matthew Neeley Charles Neill Ani Nersisyan Michael Newman Jiun How Ng Anthony Nguyen Murray Nguyen Rebecca Potter Charles Rocque Pedram Roushan Kannan Sankaragomathi Christopher Schuster Michael J. Shearn Aaron Shorter Noah Shutty Vladimir Shvarts Jindra Skruzny W. Clarke Smith George Sterling Marco Szalay Douglas Thor Alfredo Torres Theodore White Bryan W. K. Woo Z. Jamie Yao Ping Yeh Juhwan Yoo Grayson Young Adam Zalcman Ningfeng Zhu Nicholas Zobrist Hartmut Neven Vadim Smelyanskiy Andre Petukhov Alexander N. Korotkov Daniel Sank Yu Chen
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classification 🪐 quant-ph
keywords leakagequantumerrorcodecorrelatedpopulationchallengecircuit
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Leakage of quantum information out of computational states into higher energy states represents a major challenge in the pursuit of quantum error correction (QEC). In a QEC circuit, leakage builds over time and spreads through multi-qubit interactions. This leads to correlated errors that degrade the exponential suppression of logical error with scale, challenging the feasibility of QEC as a path towards fault-tolerant quantum computation. Here, we demonstrate the execution of a distance-3 surface code and distance-21 bit-flip code on a Sycamore quantum processor where leakage is removed from all qubits in each cycle. This shortens the lifetime of leakage and curtails its ability to spread and induce correlated errors. We report a ten-fold reduction in steady-state leakage population on the data qubits encoding the logical state and an average leakage population of less than $1 \times 10^{-3}$ throughout the entire device. The leakage removal process itself efficiently returns leakage population back to the computational basis, and adding it to a code circuit prevents leakage from inducing correlated error across cycles, restoring a fundamental assumption of QEC. With this demonstration that leakage can be contained, we resolve a key challenge for practical QEC at scale.

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