The DOI matches its Crossref record; 34 of the 34 references it cites were found in a registry or an index.
“Squashed entanglement”: An additive entanglement measure
Open accessAbstract
In this paper, we present a new entanglement monotone for bipartite quantum states. Its definition is inspired by the so-called intrinsic information of classical cryptography and is given by the halved minimum quantum conditional mutual information over all tripartite state extensions. We derive certain properties of the new measure which we call “squashed entanglement”: it is a lower bound on entanglement of formation and an upper bound on distillable entanglement. Furthermore, it is convex, additive on tensor products, and superadditive in general. Continuity in the state is the only property of our entanglement measure which we cannot provide a proof for. We present some evidence, however, that our quantity has this property, the strongest indication being a conjectured Fannes-type inequality for the conditional von Neumann entropy. This inequality is proved in the classical case.
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Cites
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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
Colloquium : Area laws for the entanglement entropy
Eisert, J., Cramer, M., & Plenio, M. B. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.277 · Cited by 2,873
Logarithmic Negativity: A Full Entanglement Monotone That is not Convex
Plenio, M. B. (2005) · Physical Review Letters · doi:10.1103/physrevlett.95.090503 · Cited by 1,530
Holographic mutual information is monogamous
Hayden, P., Headrick, M., & Maloney, A. (2013) · Physical Review D · doi:10.1103/physrevd.87.046003 · Cited by 326
The Squashed Entanglement of a Quantum Channel
Takeoka, M., Guha, S., & Wilde, M. M. (2014) · IEEE Transactions on Information Theory · doi:10.1109/tit.2014.2330313 · Cited by 107
Metadata
- Authors
- Christandl, M., & Winter, A.
- Venue
- Journal of Mathematical Physics
- Publisher
- AIP Publishing
- Published
- 2004-03-01
- Volume
- 45
- Issue
- 3
- Pages
- 829-840
- ISSN
- 0022-2488 (ISSN-L)
- 1089-7658
- OpenAlex
- W2077089904
- Cited by
- 451
- References
- 34
- FWCI
- 10.17
- Type
- journal article
- Language
- en
- Open access
- green
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