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Separability of two-qubit state in terms of local invariants

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Abstract

The separability condition for the two-qubit mixed state is formulated in terms of a system of inequalities in invariants of the adjoint SU(2) ⊗ SU(2) action on the space of density matrices, i.e., positive semidefinite 4 × 4 Hermitian matrices.

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Authors and Affiliations

  1. Joint Institute for Nuclear Research, Dubna, 141980, Russia

    V. P. Gerdt, Yu. G. Palii & A. M. Khvedelidze

  2. Institute of Applied Physics, Chisinau, Moldova

    Yu. G. Palii

  3. Razmadze Mathematical Institute, Tbilisi, GE-0193, Georgia

    A. M. Khvedelidze

Authors
  1. V. P. Gerdt
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  2. Yu. G. Palii
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  3. A. M. Khvedelidze
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Correspondence to V. P. Gerdt.

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Gerdt, V.P., Palii, Y.G. & Khvedelidze, A.M. Separability of two-qubit state in terms of local invariants. Phys. Part. Nuclei Lett. 8, 451–454 (2011). https://doi.org/10.1134/S1547477111050074

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  • DOI: https://doi.org/10.1134/S1547477111050074

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