Low-rank separable states are a set of measure zero within the set of low-rank states
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منابع مشابه
Low Rank Separable States Are A Set Of Measure Zero Within The Set of Low Rank States
It is well known that the set of separable pure states is measure 0 in the set of pure states. We extend this fact and show that the set of rank r separable states is measure 0 in the set of rank r states provided r is less than ∏p i=1 ni + p − ∑ ni. Recently quite a few authors have looked at low rank separable and entangled states. (See [1] and the references therein and [2] and [3] Therefore...
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It is well known that the set of separable pure states is measure 0 in the set of pure states. Herein we extend this fact and show that the set of rank r separable states is measure 0 in the set of rank r states provided r is not maximal rank. Recently quite a few authors have looked at low rank separable and entangled states. (See [1] and the references therein and [2].) Therefore it makes sen...
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ژورنال
عنوان ژورنال: Physical Review A
سال: 2002
ISSN: 1050-2947,1094-1622
DOI: 10.1103/physreva.65.064304