Optimizing continuous-time quantum error correction for arbitrary noise

2025/06/26 by Anirudh Lanka, Lanka, Anirudh, Shashank Hegde +3 · 2 citations
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Physics (quant-ph) #Quantum and electron transport phenomena

paper · pdf · doi:10.48550/arxiv.2506.21707

openalex publication_date 2025/06/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a protocol using machine learning (ML) to simultaneously optimize the quantum error-correcting code space and the corresponding recovery map in the framework of continuous-time quantum error correction. Given a Hilbert space and a noise process -- potentially correlated across both space and time -- the protocol identifies the optimal recovery strategy, measured by the average logical state fidelity. This approach enables the discovery of recovery schemes tailored to arbitrary device-level noise.

Citations

• Continuous quantum correction on Markovian and Non-Markovian models
• Automated discovery of autonomous quantum error correction schemes
• Riemannian Adaptive Optimization Methods
• Building Deep Networks on Grassmann Manifolds
• Non-completely positive maps: properties and applications
• Channel-Adapted Quantum Error Correction for the Amplitude Damping Channel
• On quantum channels
• Continuous Error Correction

Cited by

• Continuous measurement-based holonomic quantum computation
• The Goldilocks zone of governing technology: Leveraging uncertainty for responsible quantum practices

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