The DOI matches its Crossref record; 31 of the 31 references it cites were found in a registry or an index.
Further Results on the Cross Norm Criterion for Separability
Open accessAbstract
In the present paper we develop and investigate a novel approach that aims to characterize quantum entanglement by using cross norms. In the first part of the paper we further develop the mathematical theory by determining the value of the greatest cross norm for Werner states, for isotropic states and for Bell diagonal states. In the second part we show that our techniques induce a novel powerful analytical and computable separability criterion for bipartite systems. This new criterion complements the well-known Peres positive partial transpose criterion in several aspects. It is a necessary but in general not a sufficient criterion for separability. We demonstrate the power of the new criterion by evaluating the criterion for a number of important examples. We also demonstrate that the new criterion is able to detect bound entangled states.
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Cites
Mixed-state entanglement and quantum error correction
Bennett, C. H., DiVincenzo, D. P., Smolin, J. A., & Wootters, W. K. (1996) · Physical Review A · doi:10.1103/physreva.54.3824 · Cited by 5,272
Separability Criterion for Density Matrices
Peres, A. (1996) · Physical Review Letters · doi:10.1103/physrevlett.77.1413 · Cited by 5,191
Quantum states with Einstein-Podolsky-Rosen correlations admitting a hidden-variable model
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Fundamentals of the Theory of Operator Algebras
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Reduction criterion of separability and limits for a class of distillation protocols
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Norm Ideals of Completely Continuous Operators
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Cited by
Gühne, O., & Tóth, G. (2009) · Physics Reports · doi:10.1016/j.physrep.2009.02.004 · Cited by 2,401
Metadata
- Authors
- Rudolph, O.
- Venue
- Quantum Information Processing
- Published
- 2005-08
- Volume
- 4
- Issue
- 3
- Pages
- 219-239
- ISSN
- 1570-0755 (ISSN-L)
- 1573-1332
- OpenAlex
- W2094271988
- Cited by
- 323
- References
- 31
- FWCI
- 9.62
- Type
- journal article
- Language
- en
- Open access
- green
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