ICTS:30845

Video URL

Noise-adapted quantum error correction (QEC) for non-Markovian noise

Noise-adapted quantum error correction (QEC) for non-Markovian noise

(2025). Noise-adapted quantum error correction (QEC) for non-Markovian noise. SciVideos. https://youtu.be/cNk5sEwznJQ

Noise-adapted quantum error correction (QEC) for non-Markovian noise. SciVideos, Jan. 22, 2025, https://youtu.be/cNk5sEwznJQ 

          @misc{ scivideos_ICTS:30845,
            doi = {},
            url = {https://youtu.be/cNk5sEwznJQ},
            author = {},
            keywords = {},
            language = {en},
            title = {Noise-adapted quantum error correction (QEC) for non-Markovian noise},
            publisher = {},
            year = {2025},
            month = {jan},
            note = {ICTS:30845 see, \url{https://scivideos.org/icts-tifr/30845}}
          }
Prabha Mandayam
Talk numberICTS:30845
Source RepositoryICTS-TIFR
Collection

Abstract

We consider the problem of quantum error correction (QEC) for non-Markovian noise. We show that conditions for approximate QEC can be easily generalized for the case of non-Markovian noise, in the strong coupling regime where the noise map becomes non-completely-positive at intermediate times. While certain adaptive recovery schemes are ineffective against quantum non-Markovian noise, in the sense that the fidelity vanishes in finite time, a specific strategy based on the Petz map uniquely safeguards the code space even at the maximum noise limit. Focusing on the case of non-Markovian amplitude damping noise, we observe that the non-Markovian Petz map also outperforms the standard, stabilizer-based QEC code. Since implementing such a non-Markovian map poses practical challenges, we also construct a Markovian Petz map that achieves similar performance, with only a slight compromise on the fidelity.
[Based on arXiv:2411.09637]