A NEW METHOD TO CALCULATE THE INCONCLUSIVE COEFFICIENTS IN THE QUANTUM STATE DISCRIMINATION

Tatiane Evangelista (), Carlile Lavor () and Wilson R. M. Rabelo ()
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Tatiane Evangelista: Department of Applied Mathematics, Federal University of Triangulo Mineiro, Uberaba, Minas Gerais 38025-180, Brazil
Carlile Lavor: Department of Applied Mathematics, State University of Campinas, Campinas, São Paulo 13083-859, Brazil
Wilson R. M. Rabelo: Institute of Technology, Federal University of Para, Belém, Pará 66075-110, Brazil

International Journal of Modern Physics C (IJMPC), 2011, vol. 22, issue 02, 95-105

Abstract: The problem of determining the state of a quantum system is a central task in any quantum information processing. However, there are limitations imposed by quantum mechanics on the possibilities to determine the state of a quantum system. For example, nonorthogonal states cannot be discriminated perfectly. In this paper, we propose a new method to calculate the inconclusive coefficients based on the solution of a quadratic system, replacing the determination of the roots of a polynomial of degree 8, used in an algorithm to quantum state discrimination previously defined in the literature. The new method simplifies the calculation of the inconclusive coefficients and can be extended very easily to any dimension. The method was written in Matlab and successfully applied to problems with different dimensions.

Keywords: Quantum state discrimination; extended Hilbert space; semidefinite programming; quadratic systems; 03.67.Hk; 03.65.Ta (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1142/S0129183111016129

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