Simulated non-Markovian Noise Resilience of Silicon-Based Spin Qubits with Surface Code Error Correction

Fuente: arXiv
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Auteurs principaux: Gravier, Oscar, Ayral, Thomas, Vermersch, Benoît, Meunier, Tristan, Savin, Valentin
Format: Preprint
Publié: 2025
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author Gravier, Oscar
Ayral, Thomas
Vermersch, Benoît
Meunier, Tristan
Savin, Valentin
author_facet Gravier, Oscar
Ayral, Thomas
Vermersch, Benoît
Meunier, Tristan
Savin, Valentin
contents We investigate the resilience of silicon-based spin qubits against non-Markovian noise within the framework of quantum error correction. We consider a realistic non-Markovian noise model that affects both the Larmor frequency and exchange energy of qubits, allowing accurate simulations of noisy quantum circuits. We employ numerical emulation to assess the performance of the distance-3 rotated surface code and its XZZX variant, using a logical qubit coherence time metric based on Ramsey-like experiments. Our numerical results suggest that quantum error correction converts non-Markovian physical noise into Markovian logical noise, resulting in a quartic dependence of coherence time between physical and logical qubits. Additionally, we analyze the effects of spatial noise correlations and sparse architectures, substantiating the robustness of quantum error correction in silicon-based spin qubit systems.
format Preprint
id arxiv_https___arxiv_org_abs_2507_08713
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Simulated non-Markovian Noise Resilience of Silicon-Based Spin Qubits with Surface Code Error Correction
Gravier, Oscar
Ayral, Thomas
Vermersch, Benoît
Meunier, Tristan
Savin, Valentin
Quantum Physics
We investigate the resilience of silicon-based spin qubits against non-Markovian noise within the framework of quantum error correction. We consider a realistic non-Markovian noise model that affects both the Larmor frequency and exchange energy of qubits, allowing accurate simulations of noisy quantum circuits. We employ numerical emulation to assess the performance of the distance-3 rotated surface code and its XZZX variant, using a logical qubit coherence time metric based on Ramsey-like experiments. Our numerical results suggest that quantum error correction converts non-Markovian physical noise into Markovian logical noise, resulting in a quartic dependence of coherence time between physical and logical qubits. Additionally, we analyze the effects of spatial noise correlations and sparse architectures, substantiating the robustness of quantum error correction in silicon-based spin qubit systems.
title Simulated non-Markovian Noise Resilience of Silicon-Based Spin Qubits with Surface Code Error Correction
topic Quantum Physics
url https://arxiv.org/abs/2507.08713