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Semidefinite programming applied to quantum state discrimination

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Author(s):
Tatiane da Silva Evangelista
Total Authors: 1
Document type: Doctoral Thesis
Press: Campinas, SP.
Institution: Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica
Defense date:
Examining board members:
Carlile Campos Lavor; Aurelio Ribeiro Leite de Oliveira; Nelson Maculan Filho; Marcia Helena Costa Fampa; Renato Portugal
Advisor: Wilson Ricardo Matos Rabelo; Carlile Campos Lavor
Abstract

In this work, we propose a new algorithm to perform the optimal discrimination of N non-orthogonal pure quantum states. This algorithm obtains the best set of POVM measurements for the problem, through the extension of the Hilbert space of N to 2N-1 dimensions. The algorithm is based on semidefinite programming and on the solution of linear systems. The algorithm was implemented in Matlab and presented good computational results. (AU)