Geodesic
On the separability problem for quantum composite systems
Matematičeskoe modelirovanie, Tome 26 (2014) no. 11, pp. 65-70

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The present article addresses the so-called “quantum separability problem”, the mathematical issue that lies in foundations of quantum information and communication theory. The separability problem consist in elaboration of efficient computational algorithms for determination of whether a given state of a composite quantum system admits representation in a product form, with factors corresponding to each subsystem. The measurement theoretical aspects of this problem are discussed and the geometric probability of the mixed separable/entangled states in quantum systems composed from 2-qubits and qubit-qutrit pairs are computed.
Keywords: statistical measures.
Mots-clés : quantum information, entanglement, random matrices 
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     author = {A. M. Khvedelidze and I. A. Rogojin},
     title = {On the separability problem for quantum composite systems},
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A. M. Khvedelidze; I. A. Rogojin. On the separability problem for quantum composite systems. Matematičeskoe modelirovanie, Tome 26 (2014) no. 11, pp. 65-70. http://geodesic.mathdoc.fr/item/MM_2014_26_11_a9/