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M.љV.љFedorov, P.љA.љVolkov, J.љM.љMikhailova, S.љS.љStraupe and S.љP.љKulik, ?Entanglement of biphoton states: qutrits and ququarts?, New Journal of Physics, 13(8), 083004 (2011).
Abstract:
We investigate, in a general form, entanglement of biphoton qutrits and ququarts, i.e. states formed in the processes of, correspondingly, degenerate and non-degenerate spontaneous parametric down-conversion. Indistinguishability of photons and, for ququarts, joint presence of the frequency and polarization entanglement are fully taken into account. In the case of qutrits, the most general three-parametric families of maximally entangled and non-entangled states are found, and anticorrelation of the degree of entanglement and polarization is shown to occur and to be characterized by a rather simple formula. Biphoton ququarts are shown to be two-qudits with the single-photon Hilbert space dimensionality d=4, which differentiates them significantly from the often used two-qubit model (d=2). New expressions for entanglement quantifiers of biphoton ququarts are derived and discussed. Rather simple procedures for a direct measurement of the degree of entanglement are described for both qutrits and ququarts.
BibTeX Citation:
@article{FVMSK-EBSQQ-11,
author = {M. V. Fedorov and P. A. Volkov and J. M. Mikhailova and S. S. Straupe and S. P. Kulik},
title = {Entanglement of biphoton states: qutrits and ququarts},
journal = {New Journal of Physics},
volume = {13},
number = {8},
pages = {083004},
year = {2011},
doi = {10.1088/1367-2630/13/8/083004},
url = {http://iopscience.iop.org/1367-2630/13/8/083004/},
}
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