The DOI matches its Crossref record; 31 of the 31 references it cites were found in a registry or an index.
Volume of the set of separable states. II
Open accessAbstract
The problem of how many entangled or, respectively, separable states there are in the set of all quantum states is investigated. We study to what extent the choice of a measure in the space of density matrices $\ensuremath{\varrho}$ describing N-dimensional quantum systems affects the results obtained. We demonstrate that the link between the purity of the mixed states and the probability of entanglement is not sensitive to the measure chosen. Since the criterion of partial transposition is not sufficient to distinguish all separable states for $N>~8$, we develop an efficient algorithm to calculate numerically the entanglement of formation of a given mixed quantum state, which allows us to compute the volume of separable states for $N=8$ and to estimate the volume of the bound entangled states in this case.
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Cites
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
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Entanglement of a pair of quantum bits
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PHYLOGENETIC ANALYSIS: MODELS AND ESTIMATION PROCEDURES
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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
Computable measure of entanglement
Vidal, G., & Werner, R. F. (2002) · Physical Review A · doi:10.1103/physreva.65.032314 · Cited by 4,896
Geometric measure of entanglement and applications to bipartite and multipartite quantum states
Wei, T.-C., & Goldbart, P. M. (2003) · Physical Review A · doi:10.1103/physreva.68.042307 · Cited by 742
Vidal, G., & Tarrach, R. (1999) · Physical Review A · doi:10.1103/physreva.59.141 · Cited by 599
Induced measures in the space of mixed quantum states
Zyczkowski, K., & Sommers, H.-J. (2001) · Journal of Physics A: Mathematical and General · doi:10.1088/0305-4470/34/35/335 · Cited by 425
Metadata
- Authors
- Życzkowski, K.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 1999-11-01
- Volume
- 60
- Issue
- 5
- Pages
- 3496-3507
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2056829964
- Cited by
- 262
- References
- 31
- FWCI
- 10.17
- Type
- journal article
- Language
- en
- Open access
- green
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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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