Mixed-State Entanglement from Local Randomized Measurements

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 framewor...

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Published in:Physical review letters 2020-11, Vol.125 (20), p.200501, Article 200501
Main Authors: Elben, Andreas, Kueng, Richard, Huang, Hsin-Yuan Robert, van Bijnen, Rick, Kokail, Christian, Dalmonte, Marcello, Calabrese, Pasquale, Kraus, Barbara, Preskill, John, Zoller, Peter, Vermersch, Benoît
Format: Article
Language:English
Subjects:
1-dimensional spin chains
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Computer Science
Entanglement detection
General Physics
Mathematical Physics
Physics
Quantum entanglement
Quantum simulation
Quantum spin chains
Quantum theory
Quasiparticles & collective excitations
Qubits (quantum computing)
XY model
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cited_by cdi_FETCH-LOGICAL-c501t-a176d2c45313701c3b8f15b1ec4549dc1c4425d01f4fed54b4cb6f5dffe84d3c3
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container_issue 20
container_start_page 200501
container_title Physical review letters
container_volume 125
creator Elben, Andreas
Kueng, Richard
Huang, Hsin-Yuan Robert
van Bijnen, Rick
Kokail, Christian
Dalmonte, Marcello
Calabrese, Pasquale
Kraus, Barbara
Preskill, John
Zoller, Peter
Vermersch, Benoît
description 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)SCIEAS0036-807510.1126/science.aau4963].
doi_str_mv 10.1103/PhysRevLett.125.200501
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source American Physical Society:Jisc Collections:APS Read and Publish 2023-2025 (reading list)
subjects 1-dimensional spin chains
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Computer Science
Entanglement detection
General Physics
Mathematical Physics
Physics
Quantum entanglement
Quantum simulation
Quantum spin chains
Quantum theory
Quasiparticles & collective excitations
Qubits (quantum computing)
XY model
title Mixed-State Entanglement from Local Randomized Measurements
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