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Mixed-State Entanglement from Local Randomized Measurements

Elben, Andreas and Kueng, Richard and Huang, Hsin-Yuan (Robert) and van Bijnen, Rick and Kokail, Christian and Dalmonte, Marcello and Calabrese, Pasquale and Kraus, Barbara and Preskill, John and Zoller, Peter and Vermersch, Benoît (2020) Mixed-State Entanglement from Local Randomized Measurements. Physical Review Letters, 125 (20). Art. No. 200501. ISSN 0031-9007. https://resolver.caltech.edu/CaltechAUTHORS:20201111-102025217

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[img] PDF (contains the proof and an extended discussion of the p3-PPT condition. In addition, for Werner states and states generated in quench dynamics in a quantum Ising model, we compare the p3-PPT condition to the PPT-condition and to a condition for...) - Supplemental Material
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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)].


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/physrevlett.125.200501DOIArticle
https://arxiv.org/abs/2007.06305arXivDiscussion Paper
https://doi.org/10.1126/science.aau4963DOIBrydges et al., Science 364, 260 (2019)
ORCID:
AuthorORCID
Elben, Andreas0000-0003-1444-6356
Huang, Hsin-Yuan (Robert)0000-0001-5317-2613
van Bijnen, Rick0000-0002-0979-2521
Dalmonte, Marcello0000-0001-5338-4181
Kraus, Barbara0000-0001-7246-6385
Preskill, John0000-0002-2421-4762
Zoller, Peter0000-0003-4014-1505
Vermersch, Benoît0000-0001-6781-2079
Additional Information:© 2020 American Physical Society. Received 22 July 2020; accepted 20 October 2020; published 11 November 2020. We are grateful to Alireza Seif who pointed out interesting error scaling effects for classical shadows in a Scirate comment addressing Ref. [18]. We thank M. Knap, S. Nezami, F. Pollmann, and E. Wybo for discussions and valuable suggestions, as well as M. Joshi for the careful reading and comments on the manuscript. T. Brydges, P. Jurcevic, C. Maier, B. Lanyon, R. Blatt, and C. Roos have generously shared the experimental data of Ref. [10]. Simulations were performed with the QuTiP library [74]. Research in Innsbruck is supported by the European Union’s Horizon 2020 research and innovation programme under Grant Agreement No. 817482 (PASQuanS) and No. 731473 (QuantERA via QTFLAG), and by the Simons Collaboration on Ultra-Quantum Matter, which is a grant from the Simons Foundation (651440, P. Z.). B. K. acknowledges financial support from the Austrian Academy of Sciences via the Innovation Fund ’Research, Science and Society’, the SFB BeyondC (Grant No. F7107-N38), and the Austrian Science Fund (FWF) Grant DKALM: W1259-N27. Research at Caltech is supported by the Kortschak Scholars Program, the U.S. Department of Energy (DE-SC0020290), the U.S. Army Research Office (W911NF-18-1-0103), and the U.S. National Science Foundation (PHY-1733907). The Institute for Quantum Information and Matter is an NSF Physics Frontiers Center. Research in Trieste is partly supported by European Research Council (Grants No. 758329 and No. 771536) and by the Italian Ministry of Education under the FARE programme. B. V. acknowledges funding from the Austrian Science Foundation (FWF, P. 32597N).
Group:Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics
Funders:
Funding AgencyGrant Number
European Research Council (ERC)817482
European Research Council (ERC)731473
Simons Foundation651440
Austrian Academy of SciencesF7107-N38
FWF Der WissenschaftsfondsW1259-N27
Kortschak Scholars ProgramUNSPECIFIED
Department of Energy (DOE)DE-SC0020290
Army Research Office (ARO)W911NF-18-1-0103
NSFPHY-1733907
European Research Council (ERC)758329
European Research Council (ERC)771536
Ministero dell'Istruzione, dell'Universita e della Ricerca (MIUR)UNSPECIFIED
FWF Der Wissenschaftsfonds32597N
Issue or Number:20
Record Number:CaltechAUTHORS:20201111-102025217
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20201111-102025217
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:106611
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:11 Nov 2020 19:15
Last Modified:11 Nov 2020 19:15

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