Published November 13, 2020
| Version Supplemental Material + Submitted + Published
Journal Article
Open
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)].
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).Attached Files
Published - PhysRevLett.125.200501.pdf
Submitted - 2007.06305.pdf
Supplemental Material - submat.pdf
Files
2007.06305.pdf
Additional details
Identifiers
- Eprint ID
- 106611
- Resolver ID
- CaltechAUTHORS:20201111-102025217
Related works
- Describes
- https://arxiv.org/abs/2007.06305 (URL)
- 10.1126/science.aau4963 (DOI)
Funding
- European Research Council (ERC)
- 817482
- European Research Council (ERC)
- 731473
- Simons Foundation
- 651440
- Austrian Academy of Sciences
- F7107-N38
- FWF Der Wissenschaftsfonds
- W1259-N27
- Kortschak Scholars Program
- Department of Energy (DOE)
- DE-SC0020290
- Army Research Office (ARO)
- W911NF-18-1-0103
- NSF
- PHY-1733907
- European Research Council (ERC)
- 758329
- European Research Council (ERC)
- 771536
- Ministero dell'Istruzione, dell'Universita e della Ricerca (MIUR)
- FWF Der Wissenschaftsfonds
- 32597N
Dates
- Created
-
2020-11-11Created from EPrint's datestamp field
- Updated
-
2023-06-01Created from EPrint's last_modified field