The DOI matches its Crossref record; 4 of the 4 references it cites were found in a registry or an index.
Symplectic invariants, entropic measures and correlations of Gaussian states
Open accessAbstract
We present a derivation of the Von Neumann entropy and mutual information of arbitrary two-mode Gaussian states, based on the explicit determination of the symplectic eigenvalues of a generic covariance matrix. The key role of the symplectic invariants in such a determination is pointed out. We show that the Von Neumann entropy depends on two symplectic invariants, while the purity (or the linear entropy) is determined by only one invariant, so that the two quantities provide two different hierarchies of mixed Gaussian states. A comparison between mutual information and entanglement of formation for symmetric states is considered, taking note of the crucial role of the symplectic eigenvalues in qualifying and quantifying the correlations present in a generic state.
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Cites
Unconditional Quantum Teleportation
Furusawa, A., Sørensen, J. L., Braunstein, S. L., Fuchs, C. A., Kimble, H. J., & Polzik, E. S. (1998) · Science · doi:10.1126/science.282.5389.706 · Cited by 3,005
Peres-Horodecki Separability Criterion for Continuous Variable Systems
Simon, R. (2000) · Physical Review Letters · doi:10.1103/physrevlett.84.2726 · Cited by 2,245
Inseparability Criterion for Continuous Variable Systems
Duan, L.-M., Giedke, G., Cirac, J. I., & Zoller, P. (2000) · Physical Review Letters · doi:10.1103/physrevlett.84.2722 · Cited by 2,064
Methods in Theoretical Quantum Optics
Barnett, S. M., & Radmore, P. M. (2002) · doi:10.1093/acprof:oso/9780198563617.001.0001 · Cited by 1,211
Cited by
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
Multiphoton quantum optics and quantum state engineering
Dell’Anno, F., De Siena, S., & Illuminati, F. (2006) · Physics Reports · doi:10.1016/j.physrep.2006.01.004 · Cited by 310
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Metadata
- Authors
- Serafini, A., Illuminati, F., & Siena, S. D.
- Venue
- Journal of Physics B: Atomic, Molecular and Optical Physics
- Publisher
- IOP Publishing
- Published
- 2003-12-17
- Volume
- 37
- Issue
- 2
- Pages
- L21-L28
- ISSN
- 0953-4075 (ISSN-L)
- 1361-6455
- OpenAlex
- W2063969587
- Cited by
- 280
- References
- 4
- FWCI
- 7.42
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Serafini, A., Illuminati, F., & Siena, S. D. (2004). Symplectic invariants, entropic measures and correlations of Gaussian states. Journal of Physics B: Atomic, Molecular and Optical Physics. https://doi.org/10.1088/0953-4075/37/2/l02
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