Characterization of separable states and entanglement witnesses

Physical Review A. Atomic, Molecular, and Optical Physics

Volumn 63, Issue 4, 2001, Pages 443041-443044

  Lewenstein, M ^a   Kraus, B ^b   Horodecki, P ^c   Cirac, J I ^b  

^a LEIBNIZ UNIVERSITY HANNOVER   (Germany)

^b UNIVERSITY OF INNSBRUCK   (Austria)

^c GDANSK UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

ENTANGLEMENT WITNESSES (EW); POSITIVE MAPS (PM);

APPROXIMATION THEORY; COMPUTER SIMULATION; EIGENVALUES AND EIGENFUNCTIONS; ELECTRON ENERGY LEVELS; MATHEMATICAL OPERATORS;

QUANTUM THEORY;

EID: 0035307066     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (28)

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10. TB≥0. Note that this property is basis independent.
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13. Such states provide examples of the so-called bound entangled states; see M. Horodecki, P. Horodecki, and R. Horodecki, Phys. Rev. Lett. 80, 5239 (1998).
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24. TB; see [10].
25. Optimal decomposable EW's can be shown to have the form of the partial transpose of a positive operator whose range does not contain any product vector; see [17].
26. P. Horodecki, J. A. Smolin, B. M. Terhal, and A. V. Thapliyal, e-print quant-ph/9910122.
27. This choice applied to the entangled states of Ref. [11] reproduces the witnesses constructed in Ref. [13].
28. Note that we could replace the identity operator in Eq. (7) by other decomposable operators.