Work

Symplectic invariants, entropic measures and correlations of Gaussian states

Year: 2003

Type: article

Abstract: 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.

Source: Journal of Physics B Atomic Molecular and Optical Physics

DOI: 10.1088/0953-4075/37/2/l02

Authors: Alessio Serafini, Fabrizio Illuminati, Silvio De Siena

Institutions: University of Salerno, Istituto Nazionale di Fisica Nucleare, Gruppo Collegato di Salerno

Language: English

Topic: Quantum Information and Cryptography

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: bronze

Funder: Ministero dell’Istruzione, dell’Università e della Ricerca

Award: G3075901205