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Extremality of Gaussian Quantum States
Open accessAbstract
We investigate Gaussian quantum states in view of their exceptional role within the space of all continuous variables states. A general method for deriving extremality results is provided and applied to entanglement measures, secret key distillation and the classical capacity of bosonic quantum channels. We prove that for every given covariance matrix the distillable secret key rate and the entanglement, if measured appropriately, are minimized by Gaussian states. This result leads to a clearer picture of the validity of frequently made Gaussian approximations. Moreover, it implies that Gaussian encodings are optimal for the transmission of classical information through bosonic channels, if the capacity is additive.
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Cites
Probabilistic and Statistical Aspects of Quantum Theory
Holevo, A. (2011) · doi:10.1007/978-88-7642-378-9 · Cited by 2,582
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
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
Advances in quantum cryptography
Pirandola, S., Andersen, U. L., Banchi, L., Berta, M., Bunandar, D., Colbeck, R., Englund, D., Gehring, T., Lupo, C., Ottaviani, C., et al. (2020) · Advances in Optics and Photonics · doi:10.1364/aop.361502 · Cited by 2,033
Secure quantum key distribution with realistic devices
Xu, F., Ma, X., Zhang, Q., Lo, H.-K., & Pan, J.-W. (2020) · Reviews of Modern Physics · doi:10.1103/revmodphys.92.025002 · Cited by 1,543
Continuous Variable Quantum Information: Gaussian States and Beyond
Adesso, G., Ragy, S., & Lee, A. R. (2014) · Open Systems & Information Dynamics · doi:10.1142/s1230161214400010 · Cited by 787
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
- Wolf, M. M., Giedke, G., & Cirac, J. I.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2006-03-02
- Volume
- 96
- Issue
- 8
- Pages
- 080502-080502
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2057574680
- Cited by
- 318
- References
- 2
- FWCI
- 17.99
- Type
- journal article
- Language
- en
- Open access
- green
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- Wolf, M. M., Giedke, G., & Cirac, J. I. (2006). Extremality of Gaussian Quantum States. Physical Review Letters. https://doi.org/10.1103/physrevlett.96.080502
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