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- J. Barcelos-Neto, W. Oliveira
- 1997

We use the method due to Batalin, Fradkin, Fradkina, and Tyutin (BFFT) in order to convert second-class into first-class constraints for some quantum mechanics supersymmetric theories. The main point to be considered is that the extended theory, where new auxiliary variables are introduced, has to be supersymmetric too. This leads to some additional… (More)

- Marcílio Carlos Pereira de Souto, Teresa Bernarda Ludermir, Wilson Rosa de Oliveira
- IEEE Transactions on Neural Networks
- 2005

In this letter, the computational power of a class of random access memory (RAM)-based neural networks, called general single-layer sequential weightless neural networks (GSSWNNs), is analyzed. The theoretical results presented, besides helping the understanding of the temporal behavior of these networks, could also provide useful insights for the… (More)

- Wilson Rosa de Oliveira
- ESANN
- 2009

A mathematical quantisation of a Random Access Memory (RAM) is proposed starting from its matrix representation. This quantum RAM (q-RAM) is employed as the neural unit of q-RAM-based Neural Networks, q-RbNN, which can be seen as the quantisation of the corresponding RAM-based ones. The models proposed here are direct realisable in quantum circuits, have a… (More)

- Adenilton J. da Silva, Wilson Rosa de Oliveira, Teresa Bernarda Ludermir
- Neurocomputing
- 2012

A supervised learning algorithm for quantum neural networks (QNN) based on a novel quantum neuron node implemented as a very simple quantum circuit is proposed and investigated. In contrast to the QNN published in the literature, the proposed model can perform both quantum learning and simulate the classical models. This is partly due to the neural model… (More)

- Wilson Rosa de Oliveira, Adenilton J. da Silva, Teresa Bernarda Ludermir, Amanda Leonel, Wilson R. Galindo, Jefferson C. C. Pereira
- 2008 10th Brazilian Symposium on Neural Networks
- 2008

Quantum analogues of the (classical) logical neural networks (LNN) models are proposed in (q-LNN for short). We shall here further develop and investigate the q-LNN composed of the quantum analogue of the probabilistic logic node (PLN) and the multiple-valued PLN (MPLN) variations, dubbed q-PLN and q-MPLN respectively. Besides a clearer mathematical… (More)

A hybrid system using weightless neural networks (WNNs) and finite state automata is described in this paper. With the use of such a system, rules can be inserted and extracted into/from WNNs. The rule insertion and extraction problems are described with a detailed discussion of the advantages and disadvantages of the rule insertion and extraction… (More)

- Adenilton J. da Silva, Wilson Rosa de Oliveira, Teresa Bernarda Ludermir
- 2010 Eleventh Brazilian Symposium on Neural…
- 2010

The success of quantum computation is most commonly associated with speed up of classical algorithms, as the Shor's factoring algorithm and the Grover's search algorithm. But it should also be related with exponential storage capacity such as the super dense coding. In this work we use a probabilistic quantum memory proposed by Trugen berger, where one can… (More)

- Adenilton J. da Silva, Teresa Bernarda Ludermir, Wilson Rosa de Oliveira
- Neural Networks
- 2016

In this work, we propose a quantum neural network named quantum perceptron over a field (QPF). Quantum computers are not yet a reality and the models and algorithms proposed in this work cannot be simulated in actual (or classical) computers. QPF is a direct generalization of a classical perceptron and solves some drawbacks found in previous models of… (More)

- Adenilton J. da Silva, Teresa Bernarda Ludermir, Wilson Rosa de Oliveira
- 2010 Eleventh Brazilian Symposium on Neural…
- 2010

By exploiting the properties of superposition and entanglement found in quantum systems Quantum Computation has been applied to the design of algorithms considerably more efficient than the known classical ones. Known examples are the Shor's factoring algorithm and the Grover's search algorithm. This paper investigates the possibility of employing Quantum… (More)

- Teresa Bernarda Ludermir, Marcílio Carlos Pereira de Souto, Wilson Rosa de Oliveira
- 2008 10th Brazilian Symposium on Neural Networks
- 2008

A knowledge-based inference system for weightless neural networks (WNNs) is described in this paper. With the use such a system, rules can be inserted and extracted into/from WNNs. The process of rule insertion and rule extraction in WNNs is often more natural than in other neural network models. The system proposed allows the understanding on how the… (More)