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- W2042127424 abstract "We discuss the paradigmatic bipartite spin-1/2 system having the probabilities $frac{1+3x}{4}$ of being in the Einstein-Podolsky-Rosen fully entangled state $|Psi^-$$> equiv frac{1}{sqrt 2}(|$$uparrow>_A|$$downarrow>_B$$-|$$downarrow>_A|$$uparrow>_B)$ and $frac{3(1-x)}{4}$ of being orthogonal. This system is known to be separable if and only if $xle1/3$ (Peres criterion). This critical value has been recently recovered by Abe and Rajagopal through the use of the nonextensive entropic form $S_q equiv frac{1- Tr rho^q}{q-1} (q in cal{R}; $$S_1$$= -$ $Tr$ $ rho ln rho)$ which has enabled a current generalization of Boltzmann-Gibbs statistical mechanics. This result has been enrichened by Lloyd, Baranger and one of the present authors by proposing a critical-phenomenon-like scenario for quantum entanglement. Here we further illustrate and discuss this scenario through the calculation of some relevant quantities." @default.
- W2042127424 created "2016-06-24" @default.
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- W2042127424 date "2001-06-01" @default.
- W2042127424 modified "2023-10-01" @default.
- W2042127424 title "A nonextensive critical phenomenon scenario for quantum entanglement" @default.
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- W2042127424 doi "https://doi.org/10.1016/s0378-4371(01)00070-x" @default.
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