2019
DOI: 10.1109/access.2019.2896316
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A Unitary Weights Based One-Iteration Quantum Perceptron Algorithm for Non-Ideal Training Sets

Abstract: In order to solve the problem of non-ideal training sets (i.e., the less-complete or overcomplete sets) and implement one-iteration learning, a novel efficient quantum perceptron algorithm based on unitary weights is proposed, where the singular value decomposition of the total weight matrix from the training set is calculated to make the weight matrix to be unitary. The example validation of quantum gates {H, S, T, CNOT, Toffoli, Fredkin} shows that our algorithm can accurately implement arbitrary quantum gat… Show more

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Cited by 26 publications
(13 citation statements)
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“…Data dimensions can be increased or reduced according to the increments and decrements in the perceptrons, and they come from the learning of the provided data. Different types of studies and applications were then developed based on the algorithm of perceptrons [45][46][47][48][49].…”
Section: B Multilayer Perceptron Networkmentioning
confidence: 99%
“…Data dimensions can be increased or reduced according to the increments and decrements in the perceptrons, and they come from the learning of the provided data. Different types of studies and applications were then developed based on the algorithm of perceptrons [45][46][47][48][49].…”
Section: B Multilayer Perceptron Networkmentioning
confidence: 99%
“…Neto’s perceptron reproduces the step function of the inner product between input and weights and has a memory that can be updated during its own execution. Lastly, Liu et al [ 44 ] presented a quantum perceptron algorithm based on unitary weights, where the singular value decomposition of the total weight matrix from the training dataset is retained in order to convert the weight matrix to be unitary. The model was validated using a number of universal quantum gates within one iteration.…”
Section: Related Workmentioning
confidence: 99%
“…In addition, it is not clear if there is a possibility to perceive whether the neuron output is dependent on the internal state or not. Second is the perceptron described in [ 44 ], which is a one-iteration perceptron algorithm based on unitary weights.…”
Section: Related Workmentioning
confidence: 99%
“…Q UANTUM Machine Learning (QML) is an interdisciplinary field where Quantum Computing (QC) and Machine Learning (ML) converge. Interest in QML over the last couple of years has grown largely due to the advances in hardware implementations of quantum devices known as Noisy Intermediate Scale Quantum (NISQ) devices [1], [2]. The goal of this rising field is to describe learning models that apply the benefits of computing on quantum devices so that operations in machine learning can be performed [3] and potentially improved.…”
Section: Introductionmentioning
confidence: 99%