Method for universal detection of two-photon polarization entanglement
Open accessAbstract
Detecting and quantifying quantum entanglement of a given unknown state poses problems that are fundamentally important for quantum information processing. Surprisingly, no direct (i.e., without quantum tomography) universal experimental implementation of a necessary and sufficient test of entanglement has been designed even for a general two-qubit state. Here we propose an experimental method for detecting a collective universal witness, which is a necessary and sufficient test of two-photon polarization entanglement. It allows us to detect entanglement for any two-qubit mixed state and to establish tight upper and lower bounds on its amount. A different element of this method is the sequential character of its main components, which allows us to obtain relatively complicated information about quantum correlations with the help of simple linear-optical elements. As such, this proposal realizes a universal two-qubit entanglement test within the present state of the art of quantum optics. We show the optimality of our setup with respect to the minimal number of measured quantities.
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An experimental method for testing polarization entanglement without QST of general two-qubit states was proposed in Ref.42 based on measuring a collective universal witness of Ref.43, but has not been implemented experimentally yet.
“We note that an experimental method for testing polarization entanglement without QST of general two qubit states was proposed in Ref.42 based on measuring a collective universal witness of Ref.43. However, the method, to our knowledge, has not been implemented experimentally yet.”
From Experimental hierarchy of two-qubit quantum correlations without state tomography (2023) · cites this paper as [42]
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Cites
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Self-citationRoik, J., Bartkiewicz, K., Černoch, A., & Lemr, K. (2020) · Physical Review Applied · doi:10.1103/physrevapplied.15.054006 · Cited by 25 · see citing works
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Self-citation
- Authors
- Bartkiewicz, K., Horodecki, P., Lemr, K., Miranowicz, A., & Życzkowski, K.
- Affiliations
- FZU - Institute of Physics of the Czech Academy of Sciences (CZ)
- Gdańsk University of Technology (PL)
- Adam Mickiewicz University in Poznań (PL)
- Jagiellonian University (PL)
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2015-03-20
- Volume
- 91
- Issue
- 3
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2011093779
- Cited by
- 36
- References
- 5
- Citations by year
- 2026: 1 · 2025: 4 · 2024: 3 · 2023: 5 · 2022: 2 · 2021: 3 · 2020: 3 · 2018: 3 · 2017: 4 · 2016: 3 · 2015: 5
- FWCI
- 4.90
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review A (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- Jagiellonian University Repository (Jagiellonian University) (submittedVersion, cc-by-nc-nd)
- arXiv (Cornell University)
- Funders
- Narodowe Centrum Nauki (DEC-2011/03/B/ST2/01903, DEC-2013/11/D/ST2/02638, DEC-2011/02/A/ST2/00305)
- Czech Science Foundation (13-31000P)
- 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
- entanglement detection, two-qubit entanglement, entanglement witnesses, mixed states, quantum correlations, linear optics, sequential measurements, entanglement quantification
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