Learning Logical Operations for Arbitrary Quantum Error Correction Codes
Logical operations are essential for quantum computation within quantum error-correcting codes. However, discovering their physical realizations is challenging, especially for non-additive 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 co-design procedure, dubbed variational early fault-tolerant quantum computing (VarEFTQC), which tailors non-additive encodi...
| Authors | Nico Meyer, Christopher Mutschler, Dominik Seuß et al. |
|---|---|
| Primary category | quant-ph |
| Published | 27 May 2026 |
| Last updated at source | 9 September 2026 |
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