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Tomographic entanglement indicators from NMR experiments
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Balamurugan, Sharmila, Krithika, V. R., Pal, Soham, Mahesh, T. S., Lakshmibala, S. and Balakrishnan, V. (2022) Tomographic entanglement indicators from NMR experiments. The Journal of Chemical Physics, 156 (15). 154102. doi:10.1063/5.0087032 ISSN 0021-9606. [ (✓) hoa:12597 ]
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Official URL: http://dx.doi.org/10.1063/5.0087032
Abstract
In recent years, the performance of different entanglement indicators obtained directly from tomograms has been assessed in continuous-variable and hybrid quantum systems. In this paper, we carry out this task in the case of spin systems. We compute the entanglement indicators from actual experimental data obtained from three liquid-state nuclear magnetic resonance (NMR) experiments and compare them with standard entanglement measures calculated from the corresponding density matrices, both experimentally reconstructed and numerically computed. The gross features of entanglement dynamics and spin squeezing properties are found to be reproduced by these entanglement indicators. However, the extent to which these indicators and spin squeezing track the entanglement during time evolution of the multipartite systems in the NMR experiments is very sensitive to the precise nature and strength of interactions as well as the manner in which the full system is partitioned into subsystems. We also use the IBM quantum computer to implement equivalent circuits that capture the dynamics of the multipartite system in one of the NMR experiments and carry out a similar comparative assessment of the performance of tomographic indicators. This exercise shows that these indicators can estimate the degree of entanglement without necessitating detailed state reconstruction procedures, establishing the advantage of the tomographic approach.
| Item Type: | Journal Article | |||||||||
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| Subjects: | Q Science > QC Physics R Medicine > RC Internal medicine |
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| Divisions: | Faculty of Science, Engineering and Medicine > Science > Physics | |||||||||
| Library of Congress Subject Headings (LCSH): | Tomography, Nuclear magnetic resonance -- Research, Density matrices | |||||||||
| Journal or Publication Title: | The Journal of Chemical Physics | |||||||||
| Publisher: | American Institute of Physics | |||||||||
| ISSN: | 0021-9606 | |||||||||
| Official Date: | 18 April 2022 | |||||||||
| Dates: |
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| Volume: | 156 | |||||||||
| Number: | 15 | |||||||||
| Number of Pages: | 13 | |||||||||
| Article Number: | 154102 | |||||||||
| DOI: | 10.1063/5.0087032 | |||||||||
| Status: | Peer Reviewed | |||||||||
| Publication Status: | Published | |||||||||
| Reuse Statement (publisher, data, author rights): | This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared in J. Chem. Phys. 156, 154102 (2022) and may be found at http://dx.doi.org/10.1063/5.0087032 | |||||||||
| Access rights to Published version: | Restricted or Subscription Access | |||||||||
| Date of first compliant deposit: | 29 June 2022 | |||||||||
| RIOXX Funder/Project Grant: |
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| Open Access Version: |
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