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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Bibliographic Details
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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Summary: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].
ISSN:0031-9007
1079-7114
1079-7114
DOI:10.1103/PhysRevLett.125.200501