Entanglement Polytopes: Multiparticle Entanglement from Single-Particle Information

Research output: Contribution to journal › Journal article › Research › peer-review

Standard

Entanglement Polytopes : Multiparticle Entanglement from Single-Particle Information. / Walter, Michael; Doran, Brent; Gross, David; Christandl, Matthias.

In: Science, Vol. 340, No. 6137, 07.06.2013, p. 1205-1208.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Walter, M, Doran, B, Gross, D & Christandl, M 2013, 'Entanglement Polytopes: Multiparticle Entanglement from Single-Particle Information', Science, vol. 340, no. 6137, pp. 1205-1208. https://doi.org/10.1126/science.1232957

APA

Walter, M., Doran, B., Gross, D., & Christandl, M. (2013). Entanglement Polytopes: Multiparticle Entanglement from Single-Particle Information. Science, 340(6137), 1205-1208. https://doi.org/10.1126/science.1232957

Vancouver

Walter M, Doran B, Gross D, Christandl M. Entanglement Polytopes: Multiparticle Entanglement from Single-Particle Information. Science. 2013 Jun 7;340(6137):1205-1208. https://doi.org/10.1126/science.1232957

Author

Walter, Michael ; Doran, Brent ; Gross, David ; Christandl, Matthias. / Entanglement Polytopes : Multiparticle Entanglement from Single-Particle Information. In: Science. 2013 ; Vol. 340, No. 6137. pp. 1205-1208.

Bibtex

@article{ae3a1cc48839480381b89fcc7cd1854b,
title = "Entanglement Polytopes: Multiparticle Entanglement from Single-Particle Information",
abstract = "Entangled many-body states are an essential resource for quantum computing and interferometry. Determining the type of entanglement present in a system usually requires access to an exponential number of parameters. We show that in the case of pure, multiparticle quantum states, features of the global entanglement can already be extracted from local information alone. This is achieved by associating any given class of entanglement with an entanglement polytope—a geometric object that characterizes the single-particle states compatible with that class. Our results, applicable to systems of arbitrary size and statistics, give rise to local witnesses for global pure-state entanglement and can be generalized to states affected by low levels of noise.",
author = "Michael Walter and Brent Doran and David Gross and Matthias Christandl",
year = "2013",
month = jun,
day = "7",
doi = "10.1126/science.1232957",
language = "English",
volume = "340",
pages = "1205--1208",
journal = "Science",
issn = "0036-8075",
publisher = "American Association for the Advancement of Science",
number = "6137",

}

RIS

TY - JOUR

T1 - Entanglement Polytopes

T2 - Multiparticle Entanglement from Single-Particle Information

AU - Walter, Michael

AU - Doran, Brent

AU - Gross, David

AU - Christandl, Matthias

PY - 2013/6/7

Y1 - 2013/6/7

N2 - Entangled many-body states are an essential resource for quantum computing and interferometry. Determining the type of entanglement present in a system usually requires access to an exponential number of parameters. We show that in the case of pure, multiparticle quantum states, features of the global entanglement can already be extracted from local information alone. This is achieved by associating any given class of entanglement with an entanglement polytope—a geometric object that characterizes the single-particle states compatible with that class. Our results, applicable to systems of arbitrary size and statistics, give rise to local witnesses for global pure-state entanglement and can be generalized to states affected by low levels of noise.

AB - Entangled many-body states are an essential resource for quantum computing and interferometry. Determining the type of entanglement present in a system usually requires access to an exponential number of parameters. We show that in the case of pure, multiparticle quantum states, features of the global entanglement can already be extracted from local information alone. This is achieved by associating any given class of entanglement with an entanglement polytope—a geometric object that characterizes the single-particle states compatible with that class. Our results, applicable to systems of arbitrary size and statistics, give rise to local witnesses for global pure-state entanglement and can be generalized to states affected by low levels of noise.

U2 - 10.1126/science.1232957

DO - 10.1126/science.1232957

M3 - Journal article

C2 - 23744943

VL - 340

SP - 1205

EP - 1208

JO - Science

JF - Science

SN - 0036-8075

IS - 6137

ER -

ID: 120539963