2 Schmidt numbers of low rank bipartite mixed states
نویسنده
چکیده
Schmidt numbers of bipartite mixed states ([1]) characterize the minimum Schmidt ranks of pure states that are needed to construct such mixed states. It is the minimum number of degrees of freedom of a bipartite mixed state entangled between two parties. We give a lower bound of Schmidt numbers of low rank bipartite mixed states and conclude that generic (i.e., all outside a measure zero set) low rank mixed states have relatively high Schmidt numbers and thus
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