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Classical splitting of parametrized quantum circuits
Springer Science and Business Media LLC - Tập 5 - Trang 1-19 - 2023
Cenk Tüysüz, Giuseppe Clemente, Arianna Crippa, Tobias Hartung, Stefan Kühn, Karl Jansen
Barren plateaus appear to be a major obstacle for using variational quantum algorithms to simulate large-scale quantum systems or to replace traditional machine learning algorithms. They can be caused by multiple factors such as the expressivity of the ansatz, excessive entanglement, the locality of observables under consideration, or even hardware noise. We propose classical splitting of parametr...... hiện toàn bộ
Semi-supervised time series classification method for quantum computing
Springer Science and Business Media LLC - Tập 3 - Trang 1-11 - 2021
Sheir Yarkoni, Andrii Kleshchonok, Yury Dzerin, Florian Neukart, Marc Hilbert
In this paper we develop methods to solve two problems related to time series (TS) analysis using quantum computing: reconstruction and classification. We formulate the task of reconstructing a given TS from a training set of data as an unconstrained binary optimization (QUBO) problem, which can be solved by both quantum annealers and gate-model quantum processors. We accomplish this by discretizi...... hiện toàn bộ
Quantum semi-supervised kernel learning
Springer Science and Business Media LLC - Tập 3 - Trang 1-11 - 2021
Seyran Saeedi, Aliakbar Panahi, Tom Arodz
Quantum machine learning methods have the potential to facilitate learning using extremely large datasets. While the availability of data for training machine learning models is steadily increasing, oftentimes it is much easier to collect feature vectors to obtain the corresponding labels. One of the approaches for addressing this issue is to use semi-supervised learning, which leverages not only ...... hiện toàn bộ
Data re-uploading with a single qudit
Springer Science and Business Media LLC - Tập 5 - Trang 1-12 - 2023
Noah L. Wach, Manuel S. Rudolph, Fred Jendrzejewski, Sebastian Schmitt
Quantum two-level systems, i.e., qubits, form the basis for most quantum machine learning approaches that have been proposed throughout the years. However, higher dimensional quantum systems constitute a promising alternative and are increasingly explored in theory and practice. Here, we explore the capabilities of multi-level quantum systems, so-called qudits, for their use in a quantum machine l...... hiện toàn bộ
Classification of data with a qudit, a geometric approach
Springer Science and Business Media LLC - - 2024
Aikaterini Mandilara, Babette Dellen, Uwe Jaekel, Themistoklis Valtinos, Dimitris Syvridis
We propose a model for data classification using isolated quantum $$\varvec{d}$$ -level systems or else qudits. The procedure consists of an encoding phase where classical data are mapped on the surface of the qudit’s Bloch hyper-sphere via rotation encoding, followed by a rotation of the sphere an...... hiện toàn bộ
Grammar-aware sentence classification on quantum computers
Springer Science and Business Media LLC - Tập 5 - Trang 1-16 - 2023
Konstantinos Meichanetzidis, Alexis Toumi, Giovanni de Felice, Bob Coecke
Natural language processing (NLP) is at the forefront of great advances in contemporary AI, and it is arguably one of the most challenging areas of the field. At the same time, in the area of quantum computing (QC), with the steady growth of quantum hardware and notable improvements towards implementations of quantum algorithms, we are approaching an era when quantum computers perform tasks that c...... hiện toàn bộ
Deep tensor networks with matrix product operators
Springer Science and Business Media LLC - Tập 4 - Trang 1-12 - 2022
Bojan Žunkovič
We introduce deep tensor networks, which are exponentially wide neural networks based on the tensor network representation of the weight matrices. We evaluate the proposed method on the image classification (MNIST, FashionMNIST) and sequence prediction (cellular automata) tasks. In the image classification case, deep tensor networks improve our matrix product state baselines and achieve 0.49% erro...... hiện toàn bộ
Batched quantum state exponentiation and quantum Hebbian learning
Springer Science and Business Media LLC - - 2019
Thomas R. Bromley, Patrick Rebentrost
Computational complexity in high-dimensional quantum computing
Springer Science and Business Media LLC - Tập 4 - Trang 1-8 - 2022
Koji Nagata, Do Ngoc Diep, Tadao Nakamura
We study an efficiency for operating a full adder/half adder by quantum-gated computing. Fortunately, we have two typical arithmetic calculations discussed in Nakamura and Nagata (Int J Theor Phys 60:70, 2021). The two typical arithmetic calculations are (1 + 1) and (2 + 3). We demonstrate some evaluations of three two-variable functions which are elements of a boolean algebra composed of the four...... hiện toàn bộ
QDNN: deep neural networks with quantum layers
Springer Science and Business Media LLC - Tập 3 - Trang 1-9 - 2021
Chen Zhao, Xiao-Shan Gao
In this paper, a quantum extension of classical deep neural network (DNN) is introduced, which is called QDNN and consists of quantum structured layers. It is proved that the QDNN can uniformly approximate any continuous function and has more representation power than the classical DNN. Moreover, the QDNN still keeps the advantages of the classical DNN such as the non-linear activation, the multi-...... hiện toàn bộ
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