Quantum Information in Phase Space

• Grant number: 09/16369-8
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: March 01, 2010
• End date: February 28, 2013
• Field of knowledge: Physical Sciences and Mathematics - Physics - General Physics
• Principal Investigator: Marcos César de Oliveira
• Grantee: Fernando Antonio Nazareth Nicacio
• Host Institution: Instituto de Física Gleb Wataghin (IFGW). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Associated research grant: 08/57856-6 - National Institute of Science and Technology - Quantum Information, AP.TEM

Abstract

The quantum information theory is based in two fundamental resources associated to quantum systems - existence of coherent superposition of states and entangled states involving two or more subsystems. In this project we presented a proposal to study typical processes of continuous variables systems used or investigated for the implementation of a quantum information processing in phase space. Besides the visualization of several states and processes, the phase space representation allow us solution's methods for the system dynamics. This work has two central objectives and they are focused in continuous variables gaussian states: the first seeks to develop entanglement's aspects for gaussians bipartite systems unifying the developed methods by candidate in his PhD with the methods of the supervisor's group; the second seeks fundamental aspects in the description of quantum systems evolution described by Wigner-Moyal equation. In this extent, we intended to develop a theory (that goes besides the mean field theory given by Gross-Pitaevskii equation) for the evolution Bose-Einstein condensates in terms of quasi-probability functions, as well as to solve inherent questions to the legitimacy of probability distributions involved in the Wigner-Moyal equation.

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

NICACIO, F.; FURUYA, K.; SEMIAO, F. L.. Motional entanglement with trapped ions and a nanomechanical resonator. Physical Review A, v. 88, n. 2, AUG 23 2013. (09/16369-8)

DE OLIVEIRA, MARCOS C.; NICACIO, FERNANDO; MIZRAHI, SALOMON S.. Minkowski structure for purity and entanglement of Gaussian bipartite states. Physical Review A, v. 88, n. 5, NOV 20 2013. (09/16369-8)

NICACIO, FERNANDO; DE OLIVEIRA, MARCOS C.. Tight bounds for the entanglement of formation of Gaussian states. Physical Review A, v. 89, n. 1, JAN 30 2014. (09/16369-8)