The DOI matches its Crossref record; 17 of the 17 references it cites were found in a registry or an index.
Classification of Mixed Three-Qubit States
Open accessAbstract
We introduce a classification of mixed three-qubit states, in which we define the classes of separable, biseparable, W, and Greenberger-Horne-Zeilinger states. These classes are successively embedded into each other. We show that contrary to pure W-type states, the mixed W class is not of measure zero. We construct witness operators that detect the class of a mixed state. We discuss the conjecture that all entangled states with positive partial transpose (PPTES) belong to the W class. Finally, we present a new family of PPTES "edge" states with maximal ranks.
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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
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The Physics of Quantum Information
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Bell inequalities and the separability criterion
Terhal, B. M. (2000) · Physics Letters A · doi:10.1016/s0375-9601(00)00401-1 · Cited by 775
Unextendible Product Bases and Bound Entanglement
Bennett, C. H., DiVincenzo, D. P., Mor, T., Shor, P. W., Smolin, J. A., & Terhal, B. M. (1999) · Physical Review Letters · doi:10.1103/physrevlett.82.5385 · Cited by 727
Optimization of entanglement witnesses
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Self-citationSeparability of Very Noisy Mixed States and Implications for NMR Quantum Computing
Braunstein, S. L., Caves, C. M., Jozsa, R., Linden, N., Popescu, S., & Schack, R. (1999) · Physical Review Letters · doi:10.1103/physrevlett.83.1054 · Cited by 566
Generalized Schmidt Decomposition and Classification of Three-Quantum-Bit States
Acín, A., Andrianov, A., Costa, L., Jané, E., Latorre, J. I., & Tarrach, R. (2000) · Physical Review Letters · doi:10.1103/physrevlett.85.1560 · Cited by 521
Self-citationSchmidt number for density matrices
Terhal, B. M., & Horodecki, P. (2000) · Physical Review A · doi:10.1103/physreva.61.040301 · Cited by 427
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
Gühne, O., & Tóth, G. (2009) · Physics Reports · doi:10.1016/j.physrep.2009.02.004 · Cited by 2,401
Quantum metrology from a quantum information science perspective
Tóth, G., & Apellaniz, I. (2014) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8113/47/42/424006 · Cited by 862
Fisher information and multiparticle entanglement
Hyllus, P., Laskowski, W., Krischek, R., Schwemmer, C., Wieczorek, W., Weinfurter, H., Pezzé, L., & Smerzi, A. (2012) · Physical Review A · doi:10.1103/physreva.85.022321 · Cited by 593
Metadata
- Authors
- Acín, A., Bruß, D., Lewenstein, M., & Sanpera, A.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2001-07-03
- Volume
- 87
- Issue
- 4
- Pages
- 040401-040401
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2028965768
- Cited by
- 578
- References
- 17
- FWCI
- 10.51
- Type
- journal article
- Language
- en
- Open access
- green
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