### Abstract

Language | English |
---|---|

Pages | 72-87 |

Number of pages | 16 |

Journal | Nature Reviews Physics |

Volume | 1 |

Issue number | 1 |

Early online date | 19 Dec 2018 |

DOIs | |

State | Published - Jan 2019 |

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### Cite this

*Nature Reviews Physics*,

*1*(1), 72-87. DOI: 10.1038/s42254-018-0003-5

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*Nature Reviews Physics*, vol. 1, no. 1, pp. 72-87. DOI: 10.1038/s42254-018-0003-5

**Entanglement certification from theory to experiment.** / Friis, Nicolai; Vitagliano, Giuseppe; Malik, Mehul; Huber, Marcus.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Entanglement certification from theory to experiment

AU - Friis,Nicolai

AU - Vitagliano,Giuseppe

AU - Malik,Mehul

AU - Huber,Marcus

PY - 2019/1

Y1 - 2019/1

N2 - Entanglement is an important resource for quantum technologies. There are many ways quantum systems can be entangled, ranging from the two-qubit case to entanglement in high dimensions or between many parties. Consequently, many entanglement quantifiers and classifiers exist, corresponding to different operational paradigms and mathematical techniques. However, for most quantum systems, exactly quantifying the amount of entanglement is extremely demanding, if at all possible. Furthermore, it is difficult to experimentally control and measure complex quantum states. Therefore, there are various approaches to experimentally detect and certify entanglement when exact quantification is not an option. The applicability and performance of these methods strongly depend on the assumptions regarding the involved quantum states and measurements, in short, on the available prior information about the quantum system. In this Review, we discuss the most commonly used quantifiers of entanglement and survey the state-of-the-art detection and certification methods, including their respective underlying assumptions, from both a theoretical and an experimental point of view.

AB - Entanglement is an important resource for quantum technologies. There are many ways quantum systems can be entangled, ranging from the two-qubit case to entanglement in high dimensions or between many parties. Consequently, many entanglement quantifiers and classifiers exist, corresponding to different operational paradigms and mathematical techniques. However, for most quantum systems, exactly quantifying the amount of entanglement is extremely demanding, if at all possible. Furthermore, it is difficult to experimentally control and measure complex quantum states. Therefore, there are various approaches to experimentally detect and certify entanglement when exact quantification is not an option. The applicability and performance of these methods strongly depend on the assumptions regarding the involved quantum states and measurements, in short, on the available prior information about the quantum system. In this Review, we discuss the most commonly used quantifiers of entanglement and survey the state-of-the-art detection and certification methods, including their respective underlying assumptions, from both a theoretical and an experimental point of view.

U2 - 10.1038/s42254-018-0003-5

DO - 10.1038/s42254-018-0003-5

M3 - Article

VL - 1

SP - 72

EP - 87

JO - Nature Reviews Physics

T2 - Nature Reviews Physics

JF - Nature Reviews Physics

SN - 2522-5820

IS - 1

ER -