Experimental measurement of collective nonlinear entanglement witness for two qubits
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We present a proof-of-principle experiment demonstrating measurement of the collectibility, a nonlinear entanglement witness proposed by \L{}. Rudnicki et al. [Phys. Rev. Lett. 107, 150502 (2011)]. This entanglement witness works for both mixed and pure two-qubit states. In the latter case it can be used to measure entanglement in terms of the negativity. We measured the collectibility for three distinct classes of photonic polarization-encoded two-qubit states, i.e., maximally entangled, separable, and maximally mixed states. We demonstrate that the measurement procedure is feasible and robust against typical experimental shortcomings such as imperfect two-photon indistinguishability.
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The setup applied in this work was also used earlier in Refs.48-51 for conceptually different tasks.
“We note that the setup applied in this work was also used earlier in Refs.48–51, but for conceptually different tasks, e.g., measuring collective nonlinear witnesses of entanglement52,53, Bell nonlocality measure54, or diagnosing an entanglement-swapping protocol.”
From Experimental hierarchy of two-qubit quantum correlations without state tomography (2023) · cites this paper as [49]
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Collectibility for mixed quantum states
Rudnicki, Ł., Puchała, Z., Horodecki, P., & Życzkowski, K. (2012) · Physical Review A · doi:10.1103/physreva.86.062329 · Cited by 20 · see citing works
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Experimental hierarchy of two-qubit quantum correlations without state tomography
Abo, S., Soubusta, J., Jiráková, K., Bartkiewicz, K., Černoch, A., Lemr, K., & Miranowicz, A. (2023) · Scientific Reports · doi:10.1038/s41598-023-35015-9 · Cited by 17 · see citing works
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- Authors
- Lemr, K., Bartkiewicz, K., & Černoch, A.
- Affiliations
- Czech Academy of Sciences (CZ)
- FZU - Institute of Physics of the Czech Academy of Sciences (CZ)
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2016-11-28
- Volume
- 94
- Issue
- 5
- ISSN
- 0556-2791 (ISSN-L)
- 2469-9926
- 2469-9934
- OpenAlex
- W2277090491
- Cited by
- 20
- References
- 1
- Citations by year
- 2025: 1 · 2024: 2 · 2023: 3 · 2021: 4 · 2020: 3 · 2019: 2 · 2018: 3 · 2017: 2
- FWCI
- 1.92
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review A (publishedVersion)
- ASEP (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Funders
- Grantová Agentura České Republiky (16-10042Y, P205/12/0382)
- Narodowe Centrum Nauki (DEC-2013/11/D/ST2/02638)
- Ministerstvo Školství, Mládeže a Tělovýchovy
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum optics and atomic interactions
- Keywords
- collectibility, two-qubit entanglement, entanglement measurement, negativity, maximally entangled states, separable states, maximally mixed state, mixed states
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