Magic State Distillation: Not as Costly as You Think

Daniel Litinski

Dahlem Center for Complex Quantum Systems, Freie Universität Berlin, Arnimallee 14, 14195 Berlin, Germany

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Abstract

Despite significant overhead reductions since its first proposal, magic state distillation is often considered to be a very costly procedure that dominates the resource cost of fault-tolerant quantum computers. The goal of this work is to demonstrate that this is not true. By writing distillation circuits in a form that separates qubits that are capable of error detection from those that are not, most logical qubits used for distillation can be encoded at a very low code distance. This significantly reduces the space-time cost of distillation, as well as the number of qubits. In extreme cases, it can cost less to distill a magic state than to perform a logical Clifford gate on full-distance logical qubits.

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[89] Samuel J. Elman, Jason Gavriel, and Ryan L. Mann, "Optimal Scheduling of Graph States via Path Decompositions", arXiv:2403.04126, (2024).

[90] Jason D. Chadwick, Christopher Kang, Joshua Viszlai, Sophia Fuhui Lin, and Frederic T. Chong, "Averting multi-qubit burst errors in surface code magic state factories", arXiv:2405.00146, (2024).

[91] Craig Gidney, "Cleaner magic states with hook injection", arXiv:2302.12292, (2023).

[92] Korbinian Staudacher, Tobias Guggemos, Sophia Grundner-Culemann, and Wolfgang Gehrke, "Reducing 2-QuBit Gate Count for ZX-Calculus based Quantum Circuit Optimization", arXiv:2311.08881, (2023).

[93] Andreas Bauer, "Low-overhead non-Clifford topological fault-tolerant circuits for all non-chiral abelian topological phases", arXiv:2403.12119, (2024).

[94] Casey Duckering, Jonathan M. Baker, David I. Schuster, and Frederic T. Chong, "Virtualized Logical Qubits: A 2.5D Architecture for Error-Corrected Quantum Computing", arXiv:2009.01982, (2020).

[95] Seok-Hyung Lee, Andrew Li, and Stephen D. Bartlett, "Color code decoder with improved scaling for correcting circuit-level noise", arXiv:2404.07482, (2024).

[96] Yutaka Hirano, Tomohiro Itogawa, and Keisuke Fujii, "Leveraging Zero-Level Distillation to Generate High-Fidelity Magic States", arXiv:2404.09740, (2024).

The above citations are from Crossref's cited-by service (last updated successfully 2024-05-24 20:42:11) and SAO/NASA ADS (last updated successfully 2024-05-24 20:42:12). The list may be incomplete as not all publishers provide suitable and complete citation data.