The DOI matches its Crossref record; 14 of the 14 references it cites were found in a registry or an index.
Maximally entangled mixed states of two qubits
Open accessAbstract
We consider mixed states of two qubits and show under which global unitary operations their entanglement is maximized. This leads to a class of states that is a generalization of the Bell states. Three measures of entanglement are considered: entanglement of formation, negativity, and relative entropy of entanglement. Surprisingly all states that maximize one measure also maximize the others. We give a complete characterization of these generalized Bell states and prove that these states for fixed eigenvalues are all equivalent under local unitary transformations. Furthermore we characterize all nearly entangled states closest to the maximally mixed state and derive a lower bound on the volume of separable mixed states.
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Cites
Horn, R. A., & Johnson, C. R. (1985) · Cited by 22,203
Horn, R. A., & Johnson, C. R. (1985) · Cambridge University Press eBooks · doi:10.1017/cbo9780511810817 · Cited by 10,280
Horn, R. A., & Johnson, C. R. (1991) · Cambridge University Press eBooks · doi:10.1017/cbo9780511840371 · Cited by 9,319
Entanglement of Formation of an Arbitrary State of Two Qubits
Wootters, W. K. (1998) · Physical Review Letters · doi:10.1103/physrevlett.80.2245 · Cited by 8,290
Separability Criterion for Density Matrices
Peres, A. (1996) · Physical Review Letters · doi:10.1103/physrevlett.77.1413 · Cited by 5,191
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Separability of mixed states: necessary and sufficient conditions
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Inequalities - Theory of Majorization and Its Applications
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Entanglement measures and purification procedures
Vedral, V., & Plenio, M. B. (1998) · Physical Review A · doi:10.1103/physreva.57.1619 · Cited by 1,419
Volume of the set of separable states
Życzkowski, K., Horodecki, P., Sanpera, A., & Lewenstein, M. (1998) · Physical Review A · doi:10.1103/physreva.58.883 · Cited by 1,410
Cited by
Horodecki, R., Horodecki, P., Horodecki, M., & Horodecki, K. (2009) · Reviews of Modern Physics · doi:10.1103/revmodphys.81.865 · Cited by 10,118
Entanglement in many-body systems
Amico, L., Fazio, R., Osterloh, A., & Vedral, V. (2008) · Reviews of Modern Physics · doi:10.1103/revmodphys.80.517 · Cited by 3,745
Wolf, M. M., & Cirac, J. I. (2008) · Communications in Mathematical Physics · doi:10.1007/s00220-008-0411-y · Cited by 288
Metadata
- Authors
- Verstraete, F., Audenaert, K., & De Moor, B.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2001-06-15
- Volume
- 64
- Issue
- 1
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2037468132
- Cited by
- 255
- References
- 14
- FWCI
- 8.64
- Type
- journal article
- Language
- en
- Open access
- bronze
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