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Influence of the quantum measurement time on quantum information related phenomena

Grant number: 11/19848-4
Support type:Scholarships in Brazil - Post-Doctorate
Effective date (Start): March 01, 2012
Effective date (End): February 28, 2015
Field of knowledge:Physical Sciences and Mathematics - Physics - General Physics
Principal researcher:Amir Ordacgi Caldeira
Grantee:Carlos Alexandre Brasil
Home Institution: Instituto de Física Gleb Wataghin (IFGW). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

he purpose of this project is to analyze the influence of the duration of the interaction between the meter and the system over the final result in problems related to quantum information. For this aim, we will use the formalism developed by the candidate during his PhD that uses the Lindblad equation to analyze situations in which the system interacts not only with the meter (by a Markovian interaction), but also with the environment (in an non-Markovian interaction). In this formalism, by superoperators and Nakajima-Zwanzig projectors, we had obtained a master equation where the environment degrees of freedom are facorized of the principal system plus measurement apparatus degress of freedom. Beginning with analytical solutions obtained and published for the situation of a 2 level system (1 qubit) interacting with a bath of harmonic oscillators, we will make solutions varying the system-bath interaction, the environment density of states, gradually increasing the qubits number. The applications will involve irreversible quantum computation and quantum information by quantum Brownian movement. The latter demands put the Caldeira-Leggett equation on the Lindblad form (under specific hypothesis) for the use of the proposed formalism.

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Scientific publications (5)
(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)
DE CASTRO, LEONARDO ANDRETA; BRASIL, CARLOS ALEXANDRE; NAPOLITANO, REGINALDO DE JESUS. Weak values in collision theory. ANNALS OF PHYSICS, v. 392, p. 272-286, MAY 2018. Web of Science Citations: 1.
BRASIL, CARLOS ALEXANDRE; DE CASTRO, LEONARDO ANDRETA. Understanding the pointer states. European Journal of Physics, v. 36, n. 6 NOV 2015. Web of Science Citations: 2.
BRASIL, CARLOS ALEXANDRE; DE CASTRO, LEONARDO ANDRETA; NAPOLITANO, REGINALDO DE JESUS. Efficient finite-time measurements under thermal regimes. EUROPEAN PHYSICAL JOURNAL PLUS, v. 129, n. 10 OCT 1 2014. Web of Science Citations: 2.
BRASIL, CARLOS ALEXANDRE; DE CASTRO, L. A.; NAPOLITANO, R. D. J. How Much Time Does a Measurement Take?. FOUNDATIONS OF PHYSICS, v. 43, n. 5, p. 642-655, MAY 2013. Web of Science Citations: 3.
BRASIL, CARLOS ALEXANDRE; FANCHINI, FELIPE FERNANDES; NAPOLITANO, REGINALDO DE JESUS. A simple derivation of the Lindblad equation. Revista Brasileira de Ensino de Física, v. 35, n. 1 JAN-MAR 2013. Web of Science Citations: 7.

Please report errors in scientific publications list by writing to: cdi@fapesp.br.