Entanglement detection via mutually unbiased bases

Christoph Spengler; Marcus Huber; Steve Brierley; Theodor Adaktylos; Beatrix C. Hiesmayr

doi:10.1103/PhysRevA.86.022311

Entanglement detection via mutually unbiased bases

Christoph Spengler^*
, Marcus Huber
, Steve Brierley
, Theodor Adaktylos
, Beatrix C. Hiesmayr

^*Corresponding author for this work

Research output: Contribution to journal › Article (Academic Journal) › peer-review

194 Citations (Scopus)

Abstract

We investigate correlations among complementary observables. In particular, we show how to take advantage of mutually unbiased bases for the efficient detection of entanglement in arbitrarily high-dimensional, multipartite, and continuous-variable quantum systems. The introduced entanglement criteria are relatively easy to implement experimentally since they require only a few local measurement settings. In addition, we establish a link between the separability problem and the maximum number of mutually unbiased bases-opening an additional avenue in this long-standing open problem.

Original language	English
Article number	022311
Number of pages	8
Journal	Physical Review A: Atomic, Molecular and Optical Physics
Volume	86
Issue number	2
DOIs	https://doi.org/10.1103/PhysRevA.86.022311
Publication status	Published - 9 Aug 2012

Keywords

KINGS PROBLEM

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http://pra.aps.org/abstract/PRA/v86/i2/e022311

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title = "Entanglement detection via mutually unbiased bases",

abstract = "We investigate correlations among complementary observables. In particular, we show how to take advantage of mutually unbiased bases for the efficient detection of entanglement in arbitrarily high-dimensional, multipartite, and continuous-variable quantum systems. The introduced entanglement criteria are relatively easy to implement experimentally since they require only a few local measurement settings. In addition, we establish a link between the separability problem and the maximum number of mutually unbiased bases-opening an additional avenue in this long-standing open problem.",

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AU - Brierley, Steve

AU - Adaktylos, Theodor

AU - Hiesmayr, Beatrix C.

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N2 - We investigate correlations among complementary observables. In particular, we show how to take advantage of mutually unbiased bases for the efficient detection of entanglement in arbitrarily high-dimensional, multipartite, and continuous-variable quantum systems. The introduced entanglement criteria are relatively easy to implement experimentally since they require only a few local measurement settings. In addition, we establish a link between the separability problem and the maximum number of mutually unbiased bases-opening an additional avenue in this long-standing open problem.

AB - We investigate correlations among complementary observables. In particular, we show how to take advantage of mutually unbiased bases for the efficient detection of entanglement in arbitrarily high-dimensional, multipartite, and continuous-variable quantum systems. The introduced entanglement criteria are relatively easy to implement experimentally since they require only a few local measurement settings. In addition, we establish a link between the separability problem and the maximum number of mutually unbiased bases-opening an additional avenue in this long-standing open problem.

KW - KINGS PROBLEM

U2 - 10.1103/PhysRevA.86.022311

DO - 10.1103/PhysRevA.86.022311

M3 - Article (Academic Journal)

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JO - Physical Review A: Atomic, Molecular and Optical Physics

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Entanglement detection via mutually unbiased bases

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