Universal observable detecting all two-qubit entanglement and determinant-based separability tests
Open accessAbstract
We construct a single observable, measurement of whose mean value on four copies of an unknown two-qubit state is sufficient to determine unambiguously whether the state is separable or entangled. In other words, there exists a universal collective entanglement witness detecting all two-qubit entanglement. The test is directly linked to a function that characterizes the entanglement quantitatively to some extent. This function is an entanglement monotone under so-called local pure operations and classical communication which preserve local dimensions. Moreover, it provides tight upper and lower bounds for negativity and concurrence. An elementary quantum computing device estimating unknown two-qubit entanglement is designed.
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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 [43]
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References 80 · Cited by 89
Research works printed but not linked: 4
- [1]M. A. Nielsen and I. L. Chuang 'Quantum Computation and Quantum Information' , Cambridge University Press, Cambridge 2000; R. Horodecki et al. , quant-ph/0702225. · arXiv
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- Authors
- Augusiak, R., Demianowicz, M., & Horodecki, P.
- Affiliations
- Gdańsk University of Technology (PL)
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2008-03-13
- Volume
- 77
- Issue
- 3
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2004640513
- Cited by
- 89
- References
- 80
- Citations by year
- 2026: 1 · 2025: 8 · 2024: 6 · 2023: 4 · 2022: 5 · 2021: 5 · 2020: 5 · 2019: 4 · 2018: 3 · 2017: 6 · 2016: 4 · 2015: 7 · 2014: 4 · 2013: 1 · 2012: 6
- FWCI
- 10.04
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review A (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- arXiv (Cornell University)
- 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 many-body systems
- Keywords
- two-qubit entanglement, separability test, entanglement witnesses, collective measurements, entanglement monotones, negativity, concurrence, quantum state discrimination
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