The DOI matches its Crossref record; 12 of the 12 references it cites were found in a registry or an index.
Generalized Schmidt Decomposition and Classification of Three-Quantum-Bit States
Open accessAbstract
We prove for any pure three-quantum-bit state the existence of local bases which allow one to build a set of five orthogonal product states in terms of which the state can be written in a unique form. This leads to a canonical form which generalizes the two-quantum-bit Schmidt decomposition. It is uniquely characterized by the five entanglement parameters. It leads to a complete classification of the three-quantum-bit states. It shows that the right outcome of an adequate local measurement always erases all entanglement between the other two parties.
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Citations
Cites
Three qubits can be entangled in two inequivalent ways
Dür, W., Vidal, G., & Cirac, J. I. (2000) · Physical Review A · doi:10.1103/physreva.62.062314 · Cited by 3,384
Coffman, V., Kundu, J., & Wootters, W. K. (2000) · Physical Review A · doi:10.1103/physreva.61.052306 · Cited by 2,619
Quantum Theory: Concepts and Methods
Peres, A., & Ballentine, L. E. (1995) · American Journal of Physics · doi:10.1119/1.17946 · Cited by 2,561
Discriminants, Resultants, and Multidimensional Determinants
Gelfand, I. M., Kapranov, M. M., & Zelevinsky, A. V. (1994) · Birkhäuser Boston eBooks · doi:10.1007/978-0-8176-4771-1 · Cited by 2,306
Schmidt, E. (1907) · Mathematische Annalen · doi:10.1007/bf01449770 · Cited by 973
Entangled quantum systems and the Schmidt decomposition
Ekert, A., & Knight, P. L. (1995) · American Journal of Physics · doi:10.1119/1.17904 · Cited by 453
Multiparticle Interferometry and the Superposition Principle
Greenberger, D. M., Horne, M. A., & Zeilinger, A. (1993) · Physics Today · doi:10.1063/1.881360 · Cited by 377
Separability and Distillability of Multiparticle Quantum Systems
Dür, W., Cirac, J. I., & Tarrach, R. (1999) · Physical Review Letters · doi:10.1103/physrevlett.83.3562 · Cited by 279
Self-citationOn Multi-Particle Entanglement
Linden, N., Popescu, S., & Popescu, S. (1998) · Fortschritte der Physik · doi:10.1002/(sici)1521-3978(199806)46:4/5<567::aid-prop567>3.0.co;2-h · Cited by 145
Higher order Schmidt decompositions
Peres, A. (1995) · Physics Letters A · doi:10.1016/0375-9601(95)00315-t · Cited by 117
Cited by
Three qubits can be entangled in two inequivalent ways
Dür, W., Vidal, G., & Cirac, J. I. (2000) · Physical Review A · doi:10.1103/physreva.62.062314 · Cited by 3,384
Gühne, O., & Tóth, G. (2009) · Physics Reports · doi:10.1016/j.physrep.2009.02.004 · Cited by 2,401
Persistent Entanglement in Arrays of Interacting Particles
Briegel, H. J., & Raussendorf, R. (2001) · Physical Review Letters · doi:10.1103/physrevlett.86.910 · Cited by 1,950
Classification of Mixed Three-Qubit States
Acín, A., Bruß, D., Lewenstein, M., & Sanpera, A. (2001) · Physical Review Letters · doi:10.1103/physrevlett.87.040401 · Cited by 578
Self-citationGlobal entanglement in multiparticle systems
Meyer, D. A., & Wallach, N. R. (2002) · Journal of Mathematical Physics · doi:10.1063/1.1497700 · Cited by 520
Metadata
- Authors
- Acín, A., Andrianov, A., Costa, L., Jané, E., Latorre, J. I., & Tarrach, R.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2000-08-14
- Volume
- 85
- Issue
- 7
- Pages
- 1560-1563
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2136544478
- Cited by
- 521
- References
- 12
- FWCI
- 15.41
- Type
- journal article
- Language
- en
- Open access
- bronze
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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