Learning Logical Operations for Arbitrary Quantum Error Correction Codes

arXiv:2605.28162 · quant-ph, cs.LG · Submitted 2026-05-27 · Read on arXiv

quant-ph, cs.LG

Submitted: 2026-05-27

Updated: 2026-09-09

Comments: 24 pages, 12 figures, 5 tables

Journal ref: Phys. Rev. A 114, 032424 (2026)

DOI: 10.1103/qj2x-3l6n

Code: https://github.com/nicomeyer96/vareftqc

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Fidelity — 15× in this paper · explained in 2 episodes
• Loss Function — 12× in this paper · explained in 2 episodes
• Trace — 5× in this paper · explained in 2 episodes
• Hilbert Space — 4× in this paper · explained in 2 episodes
• International Conference on Quantum Computing and Engineering — 4× in this paper
• Distillation — 2× in this paper · explained in 2 episodes
• Generative Model — 2× in this paper · explained in 2 episodes
• Generative Models — 2× in this paper · explained in 2 episodes
• International Conference on Machine Learning — 2× in this paper
• Regularization — 2× in this paper · explained in 3 episodes
• Robustness — 2× in this paper · explained in 5 episodes
• Trace Distance — 2× in this paper · explained in 3 episodes
• Accuracy — 1× in this paper · explained in 1 episode
• Adaptability — 1× in this paper · explained in 1 episode
• Adaptation — 1× in this paper · explained in 1 episode
• Alignment — 1× in this paper · explained in 1 episode
• All-to-All Connectivity — 1× in this paper · explained in 1 episode
• Ancilla Qubits — 1× in this paper · explained in 1 episode
• CSS Codes — 1× in this paper · explained in 2 episodes
• Consistency — 1× in this paper · explained in 3 episodes
• Core — 1× in this paper · explained in 2 episodes
• Generalization — 1× in this paper · explained in 13 episodes
• No-Go Theorem — 1× in this paper · explained in 2 episodes
• Process tomography — 1× in this paper · explained in 2 episodes
• Redundancy — 1× in this paper · explained in 2 episodes
• Reinforcement Learning — 1× in this paper · explained in 4 episodes
• Structural Constraints — 1× in this paper · explained in 2 episodes

Sources

• Learning Encodings by Maximizing State Distinguishability: Variational Quantum Error Correction
• QVECTOR: an algorithm for device-tailored quantum error correction
• Transversal gates for quantum CSS codes
• Optimized Compilation of Logical Clifford Circuits
• PennyLane: Automatic differentiation of hybrid quantum-classical computations
• Train on classical, deploy on quantum: scaling generative quantum machine learning to a thousand qubits
• The Smallest Code with Transversal T
• Learning to Concatenate Quantum Codes
• A robust phase of continuous transversal gates in quantum stabilizer codes

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