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Multipartite Gaussian steering: monogamy constraints and quantum cryptography applications

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Figure

FIG. 1: Residual tripartite Gaussian steering GA:B:C for pure three-mode Gaussian states with CM σpureABC (a) with fixed a = 2 (local vari-ance of subsystem A), and (b) generated by three squeezed vacuumfields at −3 dB injected in two beamsplitters with reflectivities R andR′ (see inset), setting R′ = 1/2 to obtain b = c; the permutationallyinvariant GHZ-like state (a = b = c) is obtained at R = 1/3.
FIG. 2: Mode-invariant secure QSS key rate versus RGS for 105 purethree-mode Gaussian states (dots); see text for details on the lines.

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