Towards a realistic GaAs-spin qubit device for a classical error-corrected quantum memory

Mapping the decoding of quantum error correcting (QEC) codes to classical disordered statistical mechanics models allows one to determine critical error thresholds of QEC codes under phenomenological noise models. Here, we extend this mapping to admit realistic, multi-parameter noise models of faulty QEC circuits, derive the associated strongly correlated classical spin models, and illustrate this approach for a quantum repetition code with faulty stabilizer readout circuits. We use Monte-Carlo simulations to study the resulting phase diagram and benchmark our results against a minimum-weight perfect matching decoder. The presented method provides an avenue to assess fundamental thresholds of QEC circuits, independent of specific decoding strategies, and can thereby help guiding the development of near-term QEC hardware.

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“…1(a2). For the special case p sp = p id = p 1 = p m = p 2 = λ the threshold was found to lie at λ ≈ 0.033 for maximum likelihood decoding [61].…”

Section: Microscopic Circuit Noisementioning

confidence: 96%

Fundamental thresholds of realistic quantum error correction circuits from classical spin models

Vodola

Rispler

Kim³

et al. 2022

Quantum

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“…1(a2). For the special case of uniform error probabilities (p sp = p id = p 1 = p m = p 2 = λ) the threshold was found to lie at λ ≈ 0.033 for maximum likelihood decoding [53].…”

Section: (A1)mentioning

confidence: 98%

Fundamental thresholds of realistic quantum error correction circuits from classical spin models

Vodola,

Rispler,

Kim

et al. 2021

Preprint

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Mapping quantum error correcting codes to classical disordered statistical mechanics models and studying the phase diagram of the latter has proven a powerful tool to study the fundamental error robustness and associated critical error thresholds of leading quantum error correcting codes under phenomenological noise models. In this work, we extend this mapping to admit realistic, multi-parameter faulty quantum circuits in the description of quantum error correcting codes. Based on the underlying microscopic circuit noise model, we first systematically derive the associated strongly correlated classical spin models. We illustrate this approach in detail for the example of a quantum repetition code in which faulty stabilizer readout circuits are periodically applied. Finally, we use Monte-Carlo simulations to study the resulting phase diagram of the associated interacting spin model and benchmark our results against a minimum-weight perfect matching decoder. The presented method provides an avenue to assess the fundamental thresholds of QEC codes and associated readout circuitry, independent of specific decoding strategies, and can thereby help guiding the development of near-term QEC hardware.

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“…For example, quantum error correction (QEC) has the goal of introducing protocols to detect and correct those errors. However, its implementation is currently challenging and it requires certain thresholds for it to be feasible [19][20][21][22]. The QEC scheme to be applied depends on the characteristics of the noise and the presence of spatial correlations can be severely detrimental [23][24][25][26][27][28][29][30].…”

Section: Introductionmentioning

confidence: 99%

Spatial noise correlations beyond nearest-neighbor in ${}^{28}$Si/SiGe spin qubits

Arias¹,

Noiri²,

Stano³

et al. 2023

Preprint

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We detect correlations in qubit-energy fluctuations of non-neighboring qubits defined in isotopically purified Si/SiGe quantum dots. At low frequencies (where the noise is strongest), the correlation coefficient reaches 10% for a next-nearest-neighbor qubit-pair separated by 200 nm. Assigning the observed noise to be of electrical origin, a simple theoretical model quantitatively reproduces the measurements and predicts a polynomial decay of correlations with interqubit distance. Our results quantify long-range correlations of noise dephasing quantum-dot spin qubits arranged in arrays, essential for scalability and fault-tolerance of such systems.

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Towards a realistic GaAs-spin qubit device for a classical error-corrected quantum memory

Cited by 9 publications

References 61 publications

Fundamental thresholds of realistic quantum error correction circuits from classical spin models

Fundamental thresholds of realistic quantum error correction circuits from classical spin models

Fundamental thresholds of realistic quantum error correction circuits from classical spin models

Spatial noise correlations beyond nearest-neighbor in ${}^{28}$Si/SiGe spin qubits

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