Note on Entanglement of an Arbitrary State of Two Qubits
Open accessAbstract
It is shown that the norm of the polarization vector of the reduced density matrix can characterize the entanglement of two qubits and so it is defined as a simple measure of entanglement. It is then extended to the generalized entanglement of polarization vector. It is proved that the entanglement of formation belongs to the generalized entanglement of polarization vector. Under the local general measurement and classical communication how this generalized entanglement of polarization vector changes is proved strictly and so the first and second laws of quantum information processing are verified clearly.
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From equation (4.3), the biphoton polarization vector ξ = Tr(ρ_r σ) is given by equation (5.16).
“If we define the biphoton polarization vector as ξ = Tr(ρ r σ ) [22], where σ is the vector of Pauli matrices, from equation (4.3) we easily find”
From Entanglement of biphoton states: qutrits and ququarts (2011) · cites this paper as [22]
In the generally accepted treatment, ququarts are considered as two-qubit states.
“As mentioned in the Introduction, in the generally accepted treatment, ququarts are considered as two-qubit states.”
From Entanglement of biphoton states: qutrits and ququarts (2011) · cites this paper as [22]
The passage labeled Abstract (page unavailable) writes a two-qubit state using four basis states, but does not discuss ququarts or say that treating them as two-qubit states is generally accepted. Searches for “ququart” and “four-dimensional quantum system” found no passage addressing that claim. (LLM, conf=0.70)
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Cites
Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels
Bennett, C. H., Brassard, G., Crépeau, C., Jozsa, R., Peres, A., & Wootters, W. K. (1993) · Physical Review Letters · doi:10.1103/physrevlett.70.1895 · Cited by 13,703 · see citing works
DiVincenzo, D. P. (1995) · Science · doi:10.1126/science.270.5234.255 · Cited by 1,651 · see citing works
Entanglement measures and purification procedures
Vedral, V., & Plenio, M. B. (1998) · Physical Review A · doi:10.1103/physreva.57.1619 · Cited by 1,419 · see citing works
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Entanglement of biphoton states: qutrits and ququarts
Fedorov, M. V., Volkov, P. A., Mikhailova, J. M., Straupe, S. S., & Kulik, S. P. (2011) · New Journal of Physics · doi:10.1088/1367-2630/13/8/083004 · Cited by 37 · see citing works
- Authors
- An-Min, W.
- Affiliations
- China Center of Advanced Science and Technology (CN)
- Corresponding author
- An-Min, Wang
- Venue
- Chinese Physics Letters
- Publisher
- IOP Publishing
- Published
- 2000-04-01
- Volume
- 17
- Issue
- 4
- Pages
- 243-245
- ISSN
- 0256-307X (ISSN-L)
- 1741-3540
- OpenAlex
- W2015724182
- Cited by
- 8
- References
- 3
- Citations by year
- 2022: 1 · 2012: 2
- FWCI
- 1.67
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Chinese Physics Letters (publishedVersion)
- 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, entanglement measures, polarization vectors, reduced density matrix, entanglement of formation
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