activity
20122022
most citedQuasitriangular Hopf algebras, braid groups and quantum entanglement

5 citations · 19 across the 13 of their papers we have counts for

collaborators

16 papers

physics.bio-ph2022

Nonextensive realizations in interacting ion channels: implications for mechano-electrical transducer mechanisms

D. O. C. Santos, M. A. S. Trindade, A. J. da Silva

Although there are theoretical studies on the thermodynamics of ion channels, an investigation involving the thermodynamics of coupled channels has not been proposed. To overcome t…

quant-ph2022

Clifford Algebras, Quantum Neural Networks and Generalized Quantum Fourier Transform

Marco A. S. Trindade, Vinicius N. L. Rocha, S. Floquet

We propose models of quantum neural networks through Clifford algebras, which are capable of capturing geometric features of systems and to produce entanglement. Due to their repre…

quant-ph2020

Negativity of the Wigner function and thermal effects of Bell-Cat states

Vinícius N. A. Lula-Rocha, Sergio Floquet, Marco A. S. Trindade +2

We applied the Thermofield Dynamics formalism to analyze how the non-classical properties of the Bell-Cat states are influenced by a gradual change of temperature values, in a ther…

quant-ph2020★ 1 cited

Clifford algebras, algebraic spinors, quantum information and applications

Marco A. S. Trindade, Sergio Floquet, J. David M. Vianna

We give an algebraic formulation based on Clifford algebras and algebraic spinors for quantum information. In this context, logic gates and concepts such as chirality, charge conju…

cond-mat.stat-mech2020★ 1 cited

Majorana fermions, supersymmetry and thermofield dynamics

Marco A. S. Trindade, Sergio Floquet

In this work we show the existence of supersymmetry and degeneracy for an arbitrary number of Majorana fermions (even or odd) without to invoke any symmetry of Hamiltonian. Next, w…

hep-th2020★ 1 cited

Thermal Lie Superalgebras

Marco A. S. Trindade, Eric Pinto

We derive a general formulation for thermal Lie superalgebras motivated by thermofield dynamics formalism (TFD). Particularly, we construct the thermal Poincaré superalgebras. The…

math-ph2020★ 2 cited

A general formulation based on algebraic spinors for the quantum computation

Marco A. S. Trindade, Sergio Floquet, J. D. M. Vianna

In this work we explore the structure of Clifford algebras and the representations of the algebraic spinors in quantum information theory. Initially we present an general formulati…

q-fin.ST2018

Portfolio Theory, Information Theory and Tsallis Statistics

Marco A. S. Trindade, Sergio Floquet, Lourival M. S. Filho

We developed a strategic of optimal portfolio based on information theory and Tsallis statistics. The growth rate of a stock market is defined by using -deformed functions and w…

physics.gen-ph2018

Clifford Algebras, Multipartite Systems and Gauge Theory Gravity

M. A. S. Trindade, E. Pinto, S. Floquet

In this paper we present a multipartite formulation of gauge theory gravity based on the formalism of space-time algebra for gravitation developed by Lasenby and Doran (Lasenby, A.…

math-ph2015★ 4 cited

Lie Algebras and Generalized Thermal Coherent States

S. Floquet, M. A. S. Trindade, J. D. M. Vianna

In this paper, we developed an algebraic formulation for the generalized thermal coherent states with a Thermofield Dynamics approach for multi-modes, based on coset space of Lie g…

quant-ph2014★ 1 cited

Inequalities for the quantum privacy

M. A. S Trindade, E. Pinto

In this work we investigate the asymptotic behavior related to the quantum privacy for multipartite systems. In this context, an inequality for quantum privacy was obtained by expl…

math-ph2014★ 1 cited

An Approach by Representation of Algebras for Decoherence-Free Subspaces

Marco A. S. Trindade, E. Pinto, J. D. M. Vianna

The aim of this paper is to present a general algebraic formulation for the Decoherence-Free Subspaces (DFSs). For this purpose, we initially generalize some results of Pauli and A…

physics.bio-ph2013

Maximum likelihood q-estimator reveals nonextensivity regulated by extracellular potassium in the mammalian neuromuscular junction

A. J. da Silva, M. A. S. Trindade, D. O. C. Santos +1

Recently, we demonstrated the existence of nonextensivity in neuromuscular transmission [Phys. Rev. E 84, 041925 (2011)]. In the present letter, we propose a general criterion base…

physics.gen-ph2013

Factor groups, semidirect product and quantum chemistry

Marco A. S. Trindade

In this paper we prove some general theorems about representations of finite groups arising from the inner semidirect product of groups. We show how these results can be used for s…

math-ph2013★ 5 cited

Quasitriangular Hopf algebras, braid groups and quantum entanglement

E. Pinto, Marco A. S. Trindade, J. D. M. Vianna

The aim of the paper is to provide an method to obtain representations of the braid group through a set of quasitriangular Hopf algebras. In particular, these algebras may be deriv…

quant-ph2012★ 3 cited

Quantum Information, Thermofield Dynamics and Thermalized Bosonic Oscillator

Marco A. S. Trindade, Lourival M. Silva Filho, Leandro C. Santos +2

We show through Thermofield Dynamics approach that the action of the thermalized quantum logic gate on the thermalized state is equivalent to thermalization of the state that arise…