A High Performance Compiler for Very Large Scale Surface Code Computations

George Watkins1,2, Hoang Minh Nguyen2, Keelan Watkins3, Steven Pearce2, Hoi-Kwan Lau3,4, and Alexandru Paler1

1Department of Computer Science, Aalto University, 00076 Espoo, Finland
2School of Computing Science, Simon Fraser University, Burnaby, B.C., Canada V5A 1S6
3Department of Physics, Simon Fraser University, Burnaby, B.C., Canada V5A 1S6
4Quantum Algorithms Institute, Surrey, B.C., Canada V3T 5X3

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We present the first high performance compiler for very large scale quantum error correction: it translates an arbitrary quantum circuit to surface code operations based on lattice surgery. Our compiler offers an end to end error correction workflow implemented by a pluggable architecture centered around an intermediate representation of lattice surgery instructions. Moreover, the compiler supports customizable circuit layouts, can be used for quantum benchmarking and includes a quantum resource estimator. The compiler can process millions of gates using a streaming pipeline at a speed geared towards real-time operation of a physical device. We compiled within seconds 80 million logical surface code instructions, corresponding to a high precision Clifford+T implementation of the 128-qubit Quantum Fourier Transform (QFT).

Our code is open-sourced at github.

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Cited by

[1] Scott Wesley, Lecture Notes in Computer Science 14680, 142 (2024) ISBN:978-3-031-62075-1.

[2] Daniel Bochen Tan, Murphy Yuezhen Niu, and Craig Gidney, "A SAT Scalpel for Lattice Surgery: Representation and Synthesis of Subroutines for Surface-Code Fault-Tolerant Quantum Computing", arXiv:2404.18369, (2024).

[3] Nick S. Blunt, György P. Gehér, and Alexandra E. Moylett, "Compilation of a simple chemistry application to quantum error correction primitives", Physical Review Research 6 1, 013325 (2024).

[4] Tyler LeBlond, Christopher Dean, George Watkins, and Ryan S. Bennink, "Realistic Cost to Execute Practical Quantum Circuits using Direct Clifford+T Lattice Surgery Compilation", arXiv:2311.10686, (2023).

[5] Tyler LeBlond, Justin G. Lietz, Christopher M. Seck, and Ryan S. Bennink, "TISCC: A Surface Code Compiler and Resource Estimator for Trapped-Ion Processors", arXiv:2311.10687, (2023).

[6] Allyson Silva, Xiangyi Zhang, Zak Webb, Mia Kramer, Chan Woo Yang, Xiao Liu, Jessica Lemieux, Ka-Wai Chen, Artur Scherer, and Pooya Ronagh, "Multi-qubit Lattice Surgery Scheduling", arXiv:2405.17688, (2024).

[7] Tyler LeBlond, Xiao Xiao, Eugene Dumitrescu, Ryan Bennink, and Alexandru Paler, "On the Need for Extensible Quantum Compilers with Verification", arXiv:2403.02091, (2024).

[8] Keyi Yin, Xiang Fang, Yunong Shi, Travis Humble, Ang Li, and Yufei Ding, "FlexiSCD: Flexible Surface Code Deformer for Dynamic Defects", arXiv:2405.06941, (2024).

The above citations are from Crossref's cited-by service (last updated successfully 2024-06-18 03:40:20) and SAO/NASA ADS (last updated successfully 2024-06-18 03:40:21). The list may be incomplete as not all publishers provide suitable and complete citation data.