2021
DOI: 10.1088/2632-2153/ac104d
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An end-to-end trainable hybrid classical-quantum classifier

Abstract: We introduce a hybrid model combining a quantum-inspired tensor network and a variational quantum circuit to perform supervised learning tasks. This architecture allows for the classical and quantum parts of the model to be trained simultaneously, providing an end-to-end training framework. We show that compared to the principal component analysis, a tensor network based on the matrix product state with low bond dimensions performs better as a feature extractor for the input data of the variational quantum cir… Show more

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Cited by 39 publications
(33 citation statements)
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“…Nevertheless, there already exist efficient encoding strategies that map MPS into quantum circuits [61][62][63]. Moreover, several proposals were recently developed in which MPS are harnessed for quantum machine learning tasks, for example as part of hybrid classical-quantum algorithms [64,65] or as classical pre-training methods [66,67]. Similar ideas can be applied to the QMPS architecture by mapping the trainable MPS to a parametrized quantum circuit, thus directly integrating the QMPS framework in quantum computations with NISQ devices.…”
Section: Discussion/outlookmentioning
confidence: 99%
“…Nevertheless, there already exist efficient encoding strategies that map MPS into quantum circuits [61][62][63]. Moreover, several proposals were recently developed in which MPS are harnessed for quantum machine learning tasks, for example as part of hybrid classical-quantum algorithms [64,65] or as classical pre-training methods [66,67]. Similar ideas can be applied to the QMPS architecture by mapping the trainable MPS to a parametrized quantum circuit, thus directly integrating the QMPS framework in quantum computations with NISQ devices.…”
Section: Discussion/outlookmentioning
confidence: 99%
“…In the field of quantum machine learning (QML), applications of VQCs to standard machine learning tasks have achieved various degrees of success. Prominent examples include function approximation [13,[43][44][45], classification [13,14,[46][47][48][49][50][51][52][53][54][55][56][57][58][59][60][61][62][63], generative modeling [64][65][66][67][68], deep RL [29][30][31][32][33][69][70][71][72], sequence modeling [43,[73][74][75][76], speech recognition [77], metric and embedding learning [78,79], transfer learning [50,80] and federated learning [...…”
Section: Variational Quantum Circuitsmentioning
confidence: 99%
“…On the other hand, in [55], the authors explored the possibilities of using a TN for feature extraction and training the TN-VQC hybrid model in an end-to-end fashion. It has been shown that this hybrid TN-VQC architecture succeeds in classification tasks.…”
Section: Hybrid Tn-vqc Architecture For the Minigrid Problemmentioning
confidence: 99%
“…For a variational quantum eigensolver [24] or QAOA, the observable may be chosen as a non-local Hamiltonian encoding the problem that involves many qubit-qubit interactions. For machine learning tasks (e.g., classification), the observable can be defined locally on a few qubits whose states indicate the candidate output [25]. Later we will see that the choice of observables affects the landscape geometry.…”
Section: Variational Quantum Algorithmsmentioning
confidence: 99%