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High Rate Magic State Cultivation on the Surface Code

Title: High Rate Magic State Cultivation on the Surface Code
Authors: Vaknin, Yotam; Jacoby, Shoham; Grimsmo, Arne; Retzker, Alex
Contributors: AWS Center for Quantum Computing
Source: PRX Quantum ; volume 7, issue 1 ; ISSN 2691-3399
Publisher Information: American Physical Society (APS)
Publication Year: 2026
Description: Magic state cultivation is a leading approach for generating the resource states required for fault-tolerant quantum computation. Here we present a cultivation protocol that increases the success probability of magic state generation in platforms with flexible and nonlocal connectivity. Our method implements cultivation directly on the surface code, avoiding the detour through alternative, less efficient error-correcting codes used in prior approaches. This both improves the acceptance rate and preserves compatibility with the geometry of the code and the hardware. Numerical simulations show that our protocols improve success probabilities and reduce output error rates compared with protocols tailored to locally connected platforms. Under realistic noise models for cold-atom and trapped-ion systems, we improve the rate of magic state generation by more than a factor of 20. Finally, we study qubit loss and erasure and show that very low error rates can be achieved with minimal overhead, reaching below infidelity using only nine physical erasure qubits.
Document Type: article in journal/newspaper
Language: English
DOI: 10.1103/p8tw-6kq9
DOI: 10.1103/p8tw-6kq9/fulltext
Availability: https://doi.org/10.1103/p8tw-6kq9; https://link.aps.org/article/10.1103/p8tw-6kq9; http://harvest.aps.org/v2/journals/articles/10.1103/p8tw-6kq9/fulltext
Rights: https://creativecommons.org/licenses/by/4.0/
Accession Number: edsbas.FBD7B7A9
Database: BASE