Mixed-State Entanglement from Local Randomized Measurements

Andreas Elben; Richard Küng; Hsin-Yuan Huang; Rick van Bijnen; Christian Kokail; Marcello Dalmonte; Pasquale Calabrese; Barbara Kraus; John Preskill; Peter Zoller; Benoit Vermersch

doi:10.1103/PhysRevLett.125.200501

Mixed-State Entanglement from Local Randomized Measurements

Andreas Elben
, Richard Küng
, Hsin-Yuan Huang
, Rick van Bijnen
, Christian Kokail
, Marcello Dalmonte
, Pasquale Calabrese
, Barbara Kraus
, John Preskill
, Peter Zoller
, Benoit Vermersch

Department of Quantum Computing

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

Abstract

We propose a method for detecting bipartite entanglement in a many-body mixed state based on estimating moments of the partially transposed density matrix. The estimates are obtained by performing local random measurements on the state, followed by postprocessing using the classical shadows framework. Our method can be applied to any quantum system with single-qubit control. We provide a detailed analysis of the required number of experimental runs, and demonstrate the protocol using existing experimental data [Brydges et al., Science 364, 260 (2019)].

Original language	English
Article number	200501
Pages (from-to)	200501
Number of pages	5
Journal	Physical Review Letters
Volume	125
Issue number	20
DOIs	https://doi.org/10.1103/PhysRevLett.125.200501
Publication status	Published - 11 Nov 2020

Fields of science

102 Computer Sciences
202 Electrical Engineering, Electronics, Information Engineering

JKU Focus areas

Digital Transformation

Access to Document

10.1103/PhysRevLett.125.200501

Cite this

@article{49fabb5607e44671b2dc1eb026dc75af,

title = "Mixed-State Entanglement from Local Randomized Measurements",

abstract = "We propose a method for detecting bipartite entanglement in a many-body mixed state based on estimating moments of the partially transposed density matrix. The estimates are obtained by performing local random measurements on the state, followed by postprocessing using the classical shadows framework. Our method can be applied to any quantum system with single-qubit control. We provide a detailed analysis of the required number of experimental runs, and demonstrate the protocol using existing experimental data [Brydges et al., Science 364, 260 (2019)].",

author = "Andreas Elben and Richard K{\"u}ng and Hsin-Yuan Huang and \{van Bijnen\}, Rick and Christian Kokail and Marcello Dalmonte and Pasquale Calabrese and Barbara Kraus and John Preskill and Peter Zoller and Benoit Vermersch",

year = "2020",

month = nov,

day = "11",

doi = "10.1103/PhysRevLett.125.200501",

language = "English",

volume = "125",

pages = "200501",

journal = "Physical Review Letters",

issn = "1079-7114",

publisher = "American Physical Society",

number = "20",

}

TY - JOUR

T1 - Mixed-State Entanglement from Local Randomized Measurements

AU - Elben, Andreas

AU - Küng, Richard

AU - Huang, Hsin-Yuan

AU - van Bijnen, Rick

AU - Kokail, Christian

AU - Dalmonte, Marcello

AU - Calabrese, Pasquale

AU - Kraus, Barbara

AU - Preskill, John

AU - Zoller, Peter

AU - Vermersch, Benoit

PY - 2020/11/11

Y1 - 2020/11/11

N2 - We propose a method for detecting bipartite entanglement in a many-body mixed state based on estimating moments of the partially transposed density matrix. The estimates are obtained by performing local random measurements on the state, followed by postprocessing using the classical shadows framework. Our method can be applied to any quantum system with single-qubit control. We provide a detailed analysis of the required number of experimental runs, and demonstrate the protocol using existing experimental data [Brydges et al., Science 364, 260 (2019)].

AB - We propose a method for detecting bipartite entanglement in a many-body mixed state based on estimating moments of the partially transposed density matrix. The estimates are obtained by performing local random measurements on the state, followed by postprocessing using the classical shadows framework. Our method can be applied to any quantum system with single-qubit control. We provide a detailed analysis of the required number of experimental runs, and demonstrate the protocol using existing experimental data [Brydges et al., Science 364, 260 (2019)].

UR - https://www.scopus.com/pages/publications/85096096091

U2 - 10.1103/PhysRevLett.125.200501

DO - 10.1103/PhysRevLett.125.200501

M3 - Article

SN - 1079-7114

VL - 125

SP - 200501

JO - Physical Review Letters

JF - Physical Review Letters

IS - 20

M1 - 200501

ER -

Mixed-State Entanglement from Local Randomized Measurements

Abstract

Fields of science

JKU Focus areas

Access to Document

Other files and links

Cite this