کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1899695 1045121 2012 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Necessary Conditions for Optimality of Decomposable Entanglement Witnesses
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
Necessary Conditions for Optimality of Decomposable Entanglement Witnesses
چکیده انگلیسی

It is well known that the support of an optimal decomposable entanglement witness is completely entangled. We add two more necessary conditions for the optimality: The orthogonal complement of the support must have a nonzero product vector; another one will be given in terms of related faces of a convex cone. With these necessary conditions, we show that there exist examples of nonoptimal decomposable entanglement witnesses which are the partial transposes of positive semi-definite matrices supported on completely entangled spaces, whenever both of the local dimensions are greater than or equal to three.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Reports on Mathematical Physics - Volume 69, Issue 3, June 2012, Pages 419–426
نویسندگان
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