José Roberto Castilho Piqueira

Universidade de São Paulo

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L.H.A. Monteiro

Universidade de São Paulo

ÁM

Átila Madureira Bueno

Universidade de São Paulo

Diego Paolo Ferruzzo Correa

Universidade Federal do ABC

Cristiane M. Batistela

Universidade Federal do ABC

Osvaldo Guimarães

Universidade de São Paulo

Elidamar Nunes de Carvalho Lima

Universidade de São Paulo

Itamar Iliuk

Universidade Tecnológica Federal do Paraná

Sérgio Henrique Vannucchi Leme de Mattos

Universidade Federal de São Carlos

Ricardo Sobhie Diaz

Universidade Federal de São Paulo

José Manoel Balthazar

Universidade Estadual Paulista (Unesp)

Cooperative Institutions

Universidade de São Paulo

123

Universidade Politecnica

Universidade Estadual Paulista (Unesp)

Universidade Cidade de São Paulo

Universidade Estadual de Campinas (UNICAMP)

Universidade Brasil

Universidade Federal de São Paulo

Hospital Universitário da Universidade de São Paulo

Universidade Tecnológica Federal do Paraná

Universidade Federal do Rio de Janeiro

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COMPLEXITY MEASURE: A QUANTUM INFORMATION APPROACH

International Journal of Quantum Information (2012)

Yuri Campbell José Roberto Castilho Piqueira

In the past decades, all of the efforts at quantifying systems complexity with a general tool has usually relied on using Shannon's classical information framework to address the disorder of the system through the Boltzmann–Gibbs–Shannon entropy, or one of its extensions. However, in recent years, there were some attempts to tackle the quantification of algorithmic complexities in quantum systems based on the Kolmogorov algorithmic complexity, obtaining some discrepant results against the classical approach. Therefore, an approach to the complexity measure is proposed here, using the quantum information formalism, taking advantage of the generality of the classical-based complexities, and being capable of expressing these systems' complexity on other framework than its algorithmic counterparts. To do so, the Shiner–Davison–Landsberg (SDL) complexity framework is considered jointly with linear entropy for the density operators representing the analyzed systems formalism along with the tangle for the entanglement measure. The proposed measure is then applied in a family of maximally entangled mixed state.

Generality

Information Theory

Complex system

Formalism (music)

10.1142/s0219749912500475

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Citations (6)

Synchronous state in a fully connected phase-locked loop network

Mathematical Problems in Engineering (2006)

José Roberto Castilho Piqueira M. Q. Oliveira L.H.A. Monteiro

Fully connected phase‐locked networks are built with all nodes exchanging phase and frequency signals. The nodes are phase‐locked loops (PLLs) with slightly different free‐running frequencies. The synchronous state emerges from a dynamic process with the phase interactions generating a common frequency steady state. In this work, an estimation is analytically obtained for the synchronous state in a generic N ‐node network. Numerical experiments complete the analysis of the fully connected network relating free‐running frequencies, node gains, and propagation delays.

Delay-locked loop

10.1155/mpe/2006/52356

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Citations (22)

Clock signal distribution with second order nodes: Design hints

ISA Transactions (2021)

José Roberto Castilho Piqueira Antonio Carlos B. de Godoi

Synchronizing

Clock Recovery

10.1016/j.isatra.2021.01.014

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Citations (3)

Biological models: Measuring variability with classical and quantum information

Journal of Theoretical Biology (2006)

José Roberto Castilho Piqueira F.A. Serboncini L.H.A. Monteiro

10.1016/j.jtbi.2006.02.019

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Citations (11)

Minimum Time in Quantum State Transitions: Dynamical Foundations and Applications

InTech eBooks (2016)

Alexandre Coutinho Lisboa José Roberto Castilho Piqueira

This chapter is about the minimum time evolution between two quantum states considering the dynamics obeying either time-invariant Hamiltonians or time-varying ones. Merit figures are defined to help quantum control designers to define optimization parameters. The expressions are derived from the time-energy uncertainty relations and a practical case is studied as an example.

10.5772/63025

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Citations (3)

Thermal cycling effect in U-10Mo/Zry-4 monolithic nuclear fuel

Journal of Nuclear Materials (2016)

Denise Adorno Lopes Angelo José de Oliveira Zimmermann Selma L. Silva José Roberto Castilho Piqueira

Cladding (metalworking)

Temperature cycling

Fissile material

Zirconium alloy

Nuclear Fuel

10.1016/j.jnucmat.2016.02.029

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Citations (11)

Complexidade computacional e medida da informação: caminhos de Turing e Shannon

Estudos Avançados (2016)

José Roberto Castilho Piqueira

resumo Este artigo apresenta, qualitativamente, os conceitos de complexidade computacional algorítmica (Turing) e de complexidade computacional informacional (Shannon), enfatizando como pensamentos independentes, de naturezas diferentes, produziram conceitos matemáticos similares e de grande utilidade para a computação moderna.

Turing

10.1590/s0103-40142016.30870020

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Citations (1)

Epidemic Processes on Complex Networks

Discrete Dynamics in Nature and Society (2017)

Lu‐Xing Yang Yong Deng José Roberto Castilho Piqueira

As a fascinating branch of the emerging network science, the mission of the epidemic dynamics on networks is to understand how objects spread in networks and thereby to work out cost-effective strategy for restraining undesirable objects or promoting desirable objects. This special issue contains ten excellent papers about this subject.

10.1155/2017/9873678

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Citations (10)

Modeling and measuring double-frequency jitter in one-way master–slave networks

Communications in Nonlinear Science and Numerical Simulation (2008)

A. A. Ferreira Átila Madureira Bueno José Roberto Castilho Piqueira

Master/slave

10.1016/j.cnsns.2008.09.009

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Citations (14)

SPREADING DEPRESSION IN MAINLY LOCALLY CONNECTED CELLULAR AUTOMATON

Journal of Biological Systems (2006)

L.H.A. Monteiro Daniel Castello Paiva José Roberto Castilho Piqueira

A computational model based on cellular automaton (CA) is developed for studying the spreading depression (SD) phenomenon. CA cells correspond to neurons which are mainly locally connected. The influence of the parameter values in the spatiotemporal dynamics is investigated in order to obtain ways of reducing, or even preventing, occurrences of SD.

Phenomenon

Block cellular automaton

Continuous automaton

Depression

10.1142/s0218339006001957

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Citations (13)