AN ALGORITHM TO PERFORM POVMS THROUGH NEUMARK THEOREM: APPLICATION TO THE DISCRIMINATION OF NON-ORTHOGONAL PURE QUANTUM STATES

Wilson R. M. Rabelo (), Alexandre G. Rodrigues and Reinaldo O. Vianna ()
Additional contact information
Wilson R. M. Rabelo: Grupo Informação Quântica, Departamento de Física, ICEX -CP 702, Universidade Federal de Minas Gerais, 30123-970, Belo Horizonte, MG, Brazil
Alexandre G. Rodrigues: Grupo Informação Quântica, Departamento de Física, ICEX -CP 702, Universidade Federal de Minas Gerais, 30123-970, Belo Horizonte, MG, Brazil
Reinaldo O. Vianna: Grupo Informação Quântica, Departamento de Física, ICEX -CP 702, Universidade Federal de Minas Gerais, 30123-970, Belo Horizonte, MG, Brazil

International Journal of Modern Physics C (IJMPC), 2006, vol. 17, issue 08, 1203-1218

Abstract: We consider a protocol to perform the optimal quantum state discrimination ofNlinearly independent non-orthogonal pure quantum states and present a computational code. Through the extension of the original Hilbert space, it is possible to perform an unitary operation yielding a final configuration, which gives the best discrimination without ambiguity by means of von Neumann measurements. Our goal is to introduce a detailed general mathematical procedure to realize this task by means of semidefinite programming and norm minimization. The former is used to fix which is the best detection probability amplitude for each state of the ensemble. The latter determines the matrix which leads the states to the final configuration. In a final step, we decompose the unitary transformation in a sequence of two-level rotation matrices.

Keywords: Unambiguous state discrimination; semidefinite programming; norm minimization; USD attack-BB84 protocol; quantum information theory (search for similar items in EconPapers)
Date: 2006
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0129183106008911
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:ijmpcx:v:17:y:2006:i:08:n:s0129183106008911

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0129183106008911

Access Statistics for this article

International Journal of Modern Physics C (IJMPC) is currently edited by H. J. Herrmann

More articles in International Journal of Modern Physics C (IJMPC) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().