We address the use of neural networks (NNs) in classifying the environmental parameters of single-qubit dephasing channels. In particular, we investigate the performance of linear perceptrons and of two nonlinear NN architectures. At variance with time-series-based approaches, our goal is to learn a discretized probability distribution over the parameters using tomographic data at just two random instants of time. We consider dephasing channels originating either from classical 1/f α noise or from the interaction with a bath of quantum oscillators. The parameters to be classified are the color α of the classical noise or the Ohmicity parameter s of the quantum environment. In both cases, we find that NNs are able to exactly classify parameters into 16 classes using noiseless data (a linear NN is enough for the color, whereas a single-layer NN is needed for the Ohmicity). In the presence of noisy data (e.g., coming from noisy tomographic measurements), the network is able to classify the color of the 1/fα noise into 16 classes with about 70% accuracy, whereas classification of Ohmicity turns out to be challenging. We also consider a more coarse-grained task and train the network to discriminate between two macroclasses corresponding to α≶1 and s≶1, obtaining up to 96% and 79% accuracy using single-layer NNs.

Multiclass classification of dephasing channels / A.M. Palmieri, F. Bianchi, M.G.A. Paris, C. Benedetti. - In: PHYSICAL REVIEW A. - ISSN 2469-9926. - 104:5(2021 Nov 10), pp. 052412.052412-1-052412.052412-8. [10.1103/PhysRevA.104.052412]

Multiclass classification of dephasing channels

M.G.A. Paris
Penultimo
;
C. Benedetti
Ultimo
2021-11-10

Abstract

We address the use of neural networks (NNs) in classifying the environmental parameters of single-qubit dephasing channels. In particular, we investigate the performance of linear perceptrons and of two nonlinear NN architectures. At variance with time-series-based approaches, our goal is to learn a discretized probability distribution over the parameters using tomographic data at just two random instants of time. We consider dephasing channels originating either from classical 1/f α noise or from the interaction with a bath of quantum oscillators. The parameters to be classified are the color α of the classical noise or the Ohmicity parameter s of the quantum environment. In both cases, we find that NNs are able to exactly classify parameters into 16 classes using noiseless data (a linear NN is enough for the color, whereas a single-layer NN is needed for the Ohmicity). In the presence of noisy data (e.g., coming from noisy tomographic measurements), the network is able to classify the color of the 1/fα noise into 16 classes with about 70% accuracy, whereas classification of Ohmicity turns out to be challenging. We also consider a more coarse-grained task and train the network to discriminate between two macroclasses corresponding to α≶1 and s≶1, obtaining up to 96% and 79% accuracy using single-layer NNs.
dephasing channel; qubit; machine learning; neural network; colored noise; spin-boson;
Settore FIS/03 - Fisica della Materia
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2434/883609
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