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Dyson index--maximal concurrence relations and generalized Peres-Horodecki separability conditions | | Paul B. Slater
; | | Date: |
4 May 2009 | | Abstract: | We present numerical evidence of the applicability--but possibly restricted
in range--of the Dyson indices of random matrix theory in the modeling of real
and complex two-qubit and qubit-qutrit eigenvalue-parameterized separability
functions as piecewise continuous functions of maximal concurrence over
spectral orbits (arXiv:0806.3294). The entanglement measure concurrence itself
is used in our initial set of analyses. There, in terms of certain metrics of
quantum mechanical interest (including the [non-monotone] Hilbert-Schmidt and
[minimal monotone] Bures), we numerically generate sets of downward-sloping
curves that interpolate between the probability of 1 that a generic
(9-dimensional real or 15-dimensional complex) two-qubit system is either
entangled or separable and the probability that the system is only separable.
Most of the curves are constructed as functions of a parameter alpha in [0,1],
and are obtained by enforcing "generalized Peres-Horodecki conditions". Many of
the sets of metric-specific curves obtained by enforcement of these conditions
are composed--with some noteworthy exceptions--of convex, non-intersecting
functions. | | Source: | arXiv, 0905.0161 | | Services: | Forum | Review | PDF | Favorites | |
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