Extremal entanglement and mixedness in continuous variable systems

By Gerardo Adesso, Alessio Serafini, Fabrizio Illuminati. 2004

468 citations recorded by the source corpus.

ness provided by such measures with the one provided by the purity (defined as tr 2 for the state ) for generic n-mode states. We then review the analysis proving the existence of both maximally and minimally entangled states at given global and marginal purities, with the entan glement quantified by the logarithmic negativity. Based on these results, we extend such an analysis to generalized entropies, introducing and fully characterizing maximally and minimally entangled states for given global and local generalized entropies. We compare the different roles played by the purity and by the generalized p-entropies in quantifying the entanglement and the mixedness of continuous variable systems. We introduce the concept of average logarithmic negativity, showing that it allows a reliable quantitative estimate of continuo us variable entanglement by direct measurements of global and marginal generalized p-entropies.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/d04a6c7036cd2cdfce2108d71eddf4bbdd1ee143

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In Atomic and Molecular Physics, and Optics

Citations in the corpus

Gaussian quantum information (2011, methodology): “The logarithmic negativity of 1 M and N M bisymmetric Gaussian states was characterized by Adesso, Serafini, and Illuminati (2004) and Adesso and Illuminati (2007), respectively.”
Effective Theory for the Measurement-Induced Phase Transition of Dirac Fermions (2021, background): “[75, 92, 93] for a detailed discussion of bosonic systems) according to”
Entanglement of two-mode Gaussian states: characterization and experimental production and manipulation (2005, unknown): “On the other hand, the symmetric instance, which carries the highest possible entanglement [39] (and which is the experimental product of the present paper), is the one that enables continuousvariable teleportation of an unknown coherent state [13, 11, 14] with a fidelity arbitrarily close to 1 even”