2019
DOI: 10.1103/physrevx.9.041029
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Unsupervised Classification of Quantum Data

Abstract: We introduce the problem of unsupervised classification of quantum data, namely, of systems whose quantum states are unknown. We derive the optimal single-shot protocol for the binary case, where the states in a disordered input array are of two types. Our protocol is universal and able to automatically sort the input under minimal assumptions, yet partially preserving information contained in the states. We quantify analytically its performance for arbitrary size and dimension of the data. We contrast it with… Show more

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Cited by 38 publications
(29 citation statements)
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“…One can exploit classical ML to improve quantum tasks ("QC" ML, see refs. 7,8 for a discussion of this terminology) such as the simulation of many-body systems 9 , adaptive quantum computation 10 or quantum metrology 11 , or one can exploit quantum algorithms to speed up classical ML ("CQ" ML) [12][13][14][15] , or, finally, one can exploit quantum computing devices to carry out learning tasks with quantum data ("QQ" ML) [16][17][18][19][20][21][22][23][24] . A good review on this topic can be found in ref.…”
mentioning
confidence: 99%
“…One can exploit classical ML to improve quantum tasks ("QC" ML, see refs. 7,8 for a discussion of this terminology) such as the simulation of many-body systems 9 , adaptive quantum computation 10 or quantum metrology 11 , or one can exploit quantum algorithms to speed up classical ML ("CQ" ML) [12][13][14][15] , or, finally, one can exploit quantum computing devices to carry out learning tasks with quantum data ("QQ" ML) [16][17][18][19][20][21][22][23][24] . A good review on this topic can be found in ref.…”
mentioning
confidence: 99%
“…This study conducted an experimental analysis with a new variant of a learning model to further take advantage of quantum computing devices to perform learning tasks with quantum data [30]. We assumed that Quanvolutional neural network or Quantum neural network (QNN) would solve classical deep learning problems to be computationally faster from the design paradigm.…”
Section: Quantum Neural Network Modelmentioning
confidence: 99%
“…Quantum machine learning, whereby classical ML is generalized to the quantum realm, has enjoyed a recent renaissance, leading to a dizzying array of formulations and applications (see [6][7][8] and references therein for a cross section). Broadly speaking one has the following taxonomy [9]: (i) quantum speedups for classical ML [10][11][12][13]; (ii) classical ML to characterize quantum systems [14][15][16]; or (iii) quantum devices to learn quantum data ("full" QML) [17][18][19][20][21][22][23][24][25][26][27]. Our focus here is on the last category, as it is this scenario where quantum speedups are not only most likely, but also most urgently required owing to the aforementioned exponential difficulty of tomography.…”
Section: Introductionmentioning
confidence: 99%
“…A variety of quantum architectures for QML have been considered, from variational quantum circuits [24,28] to quantum analogues of artificial neural networks [20,22,23,25,26,29]. We believe that the quantum neural network (QNN) architecture introduced in [26] offers a most promising platform for full QML.…”
Section: Introductionmentioning
confidence: 99%