New approach to finding the maximum number of mutually unbiased bases in C6

J. Batle; Ahmed Farouk; Mosayeb Naseri; Mohamed Elhoseny

doi:10.18576/amis/100609

New approach to finding the maximum number of mutually unbiased bases in C⁶

J. Batle^*
, Ahmed Farouk
, Mosayeb Naseri
, Mohamed Elhoseny

^*Corresponding author for this work

University of the Balearic Islands
Al-Zahra College for Women
Islamic Azad University
Mansoura University

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

We introduce a new approach to the problem of finding sets of m mutually unbiased bases which are compatible with a given space ℂ^d, by translating it into an optimization procedure for a given pair (m,d). In addition, our procedure leads to new sets of basis such that they may approach those hypothetical ones for m = 4.

Original language	English
Pages (from-to)	2077-2082
Number of pages	6
Journal	Applied Mathematics and Information Sciences
Volume	10
Issue number	6
DOIs	https://doi.org/10.18576/amis/100609
Publication status	Published - 2016
Externally published	Yes

Keywords

Mutually unbiased bases
Optimization
Quantum information theory

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10.18576/amis/100609

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title = "New approach to finding the maximum number of mutually unbiased bases in C6 ",

abstract = "We introduce a new approach to the problem of finding sets of m mutually unbiased bases which are compatible with a given space ℂd, by translating it into an optimization procedure for a given pair (m,d). In addition, our procedure leads to new sets of basis such that they may approach those hypothetical ones for m = 4.",

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AU - Batle, J.

AU - Farouk, Ahmed

AU - Naseri, Mosayeb

AU - Elhoseny, Mohamed

PY - 2016

Y1 - 2016

N2 - We introduce a new approach to the problem of finding sets of m mutually unbiased bases which are compatible with a given space ℂd, by translating it into an optimization procedure for a given pair (m,d). In addition, our procedure leads to new sets of basis such that they may approach those hypothetical ones for m = 4.

AB - We introduce a new approach to the problem of finding sets of m mutually unbiased bases which are compatible with a given space ℂd, by translating it into an optimization procedure for a given pair (m,d). In addition, our procedure leads to new sets of basis such that they may approach those hypothetical ones for m = 4.

KW - Mutually unbiased bases

KW - Optimization

KW - Quantum information theory

UR - https://www.scopus.com/pages/publications/85006284615

U2 - 10.18576/amis/100609

DO - 10.18576/amis/100609

M3 - Article

AN - SCOPUS:85006284615

SN - 1935-0090

VL - 10

SP - 2077

EP - 2082

JO - Applied Mathematics and Information Sciences

JF - Applied Mathematics and Information Sciences

IS - 6

ER -

New approach to finding the maximum number of mutually unbiased bases in C⁶

Abstract

Keywords

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