| _version_ | 1866901735649312768 |
|---|---|
| author | Anand, Arjun |
| author_facet | Anand, Arjun |
| contents | <p>This computational notebook presents a toy quantum error-correction simulation for studying coherent non-Markovian noise in a distance-5 repetition code.</p> <p>The model uses five data qubits and five environment qubits. Each data qubit is coupled to its own environment qubit through a coherent system-environment interaction, and the environment is not reset between QEC rounds. This allows memory effects to build up over repeated correction cycles.</p> <p>The notebook compares two descriptions of the same noisy QEC experiment:</p> <p>1. full coherent non-Markovian system-environment evolution, and<br>2. a Pauli-twirled / SPP-style stochastic Pauli baseline.</p> <p>The main quantity studied is the logical failure probability as a function of coupling strength. The aim is to test the limits of Pauli-twirled or SPP-style approximations by checking when coherent memory effects change the logical error rate.</p> <p>This is an exploratory notebook and a first-stage QEC-level toy model before moving to larger surface-code simulations.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19951330 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Coherent Non-Markovian Noise in a d=5 Repetition-Code QEC Simulation Anand, Arjun quantum error correction non-Markovian noise coherent noise repetition code Pauli twirling spatiotemporal Pauli process QEC simulation Jupyter notebook <p>This computational notebook presents a toy quantum error-correction simulation for studying coherent non-Markovian noise in a distance-5 repetition code.</p> <p>The model uses five data qubits and five environment qubits. Each data qubit is coupled to its own environment qubit through a coherent system-environment interaction, and the environment is not reset between QEC rounds. This allows memory effects to build up over repeated correction cycles.</p> <p>The notebook compares two descriptions of the same noisy QEC experiment:</p> <p>1. full coherent non-Markovian system-environment evolution, and<br>2. a Pauli-twirled / SPP-style stochastic Pauli baseline.</p> <p>The main quantity studied is the logical failure probability as a function of coupling strength. The aim is to test the limits of Pauli-twirled or SPP-style approximations by checking when coherent memory effects change the logical error rate.</p> <p>This is an exploratory notebook and a first-stage QEC-level toy model before moving to larger surface-code simulations.</p> |
| title | Coherent Non-Markovian Noise in a d=5 Repetition-Code QEC Simulation |
| topic | quantum error correction non-Markovian noise coherent noise repetition code Pauli twirling spatiotemporal Pauli process QEC simulation Jupyter notebook |
| url | https://doi.org/10.5281/zenodo.19951330 |