Abstract

Establishing low-error and fast detection methods for qubit readout is crucial for efficient quantum error correction. Here, we test neural networks to classify a collection of single-shot spin detection events, which are the readout signal of our qubit measurements. This readout signal contains a stochastic peak, for which a Bayesian inference filter including Gaussian noise is theoretically optimal. Hence, we benchmark our neural networks trained by various strategies versus this latter algorithm. Training of the network with 106 experimentally recorded single-shot readout traces does not improve the post-processing performance. A network trained by synthetically generated measurement traces performs similar in terms of the detection error and the post-processing speed compared to the Bayesian inference filter. This neural network turns out to be more robust to fluctuations in the signal offset, length and delay as well as in the signal-to-noise ratio. Notably, we find an increase of 7% in the visibility of the Rabi oscillation when we employ a network trained by synthetic readout traces combined with measured signal noise of our setup. Our contribution thus represents an example of the beneficial role which software and hardware implementation of neural networks may play in scalable spin qubit processor architectures.

Highlights

  • Establishing low-error and fast detection methods for qubit readout is crucial for efficient quantum error correction

  • As the signal-to-noise ratio (SNR) of the detection signal is lowered for qubits in a dense a­ rray[13] or for charge detectors operating at elevated temperature, post-processing robust to low SNR is essential for future quantum computing architectures and hot electron spin ­qubits[14], motivating the testing of alternatives to the theoretically optimal Bayesian method

  • We have shown that the neural network approach is a competitive alternative to post-processing of single-shot spin detection events by a Bayesian inference filter

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Summary

Introduction

Establishing low-error and fast detection methods for qubit readout is crucial for efficient quantum error correction. A network trained by synthetically generated measurement traces performs similar in terms of the detection error and the post-processing speed compared to the Bayesian inference filter. This neural network turns out to be more robust to fluctuations in the signal offset, length and delay as well as in the signal-to-noise ratio. While spin-to-charge conversion of a singlet-triplet spin readout by Pauli-spin blockade falls into the first c­ ategory[6,7], single-spin detection by energy-dependent tunneling to a weakly tunnel-coupled reservoir falls into the ­second[5,8] For the latter, the analog measurement signal is often post-processed by peak-signal filters to assign a binary qubit readout. Better performance is achieved on the classification of measured data, when the neural network is trained with synthetic traces combined with measured noise

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