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- W3104621702 abstract "We investigate different geometries and invariant measures on the space of mixed Gaussian quan- tum states. We show that when the global purity of the state is held fixed, these measures coincide and it is possible, within this constraint, to define a unique notion of volume on the space of mixed Gaussian states. We then use the so defined measure to study typical non-classical correlations of two mode mixed Gaussian quantum states, in particular entanglement and steerability. We show that under the purity constraint alone, typical values for symplectic invariants can be computed very elegantly, irrespectively of the non-compactness of the underlying state space. Then we consider finite volumes by constraining the purity and energy of the Gaussian state and compute typical values of quantum correlations numerically." @default.
- W3104621702 created "2020-11-23" @default.
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- W3104621702 date "2018-12-17" @default.
- W3104621702 modified "2023-09-26" @default.
- W3104621702 title "Typical Gaussian quantum information" @default.
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- W3104621702 doi "https://doi.org/10.1088/1751-8121/aaf365" @default.
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