Learning logical operations for arbitrary quantum error correction codes
Meyer N, Mutschler C, Seuß D, Maier A, Scherer DD (2026)
Publication Type: Journal article
Publication year: 2026
Journal
Book Volume: 114
Article Number: 032424
Journal Issue: 3
DOI: 10.1103/QJ2X-3L6N
Abstract
Logical operations are essential for quantum computation within quantum error-correcting codes. However, discovering their physical realizations is challenging, especially for nonadditive codes that lack a stabilizer description. We present a general learning-based framework that, given only an encoding circuit, constructs physical implementations of logical operations while enforcing structural properties such as transversality or shallow depth. Our approach is validated by rediscovering known logical operations of standard stabilizer codes. We then extend it to a codesign procedure, dubbed variational early fault-tolerant quantum computing (VarEFTQC), which tailors nonadditive encodings to a given noise model and enforces desired logical gate sets, such as transversal IQP-type families or low-depth universal sets. A software library implements the complete learning pipeline, including loss-function variants, ansatz families, and optimization routines. Together, these results position VarEFTQC as a proof-of-concept framework for discovering hardware-adapted logical gadgets for early fault-tolerant quantum computing.
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Germany (DE)How to cite
APA:
Meyer, N., Mutschler, C., Seuß, D., Maier, A., & Scherer, D.D. (2026). Learning logical operations for arbitrary quantum error correction codes. Physical Review A, 114(3). https://doi.org/10.1103/QJ2X-3L6N
MLA:
Meyer, Nico, et al. "Learning logical operations for arbitrary quantum error correction codes." Physical Review A 114.3 (2026).
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