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We present reduction theorems for the problem of optimal unambiguous statediscrimination (USD) of two general density matrices. We show that this problemcan be reduced to that of two density matrices that have the same rank $n$ andare described in a Hilbert space of dimensions $2n$. We also show how to usethe reduction theorems to discriminate unambiguously between N mixed states (N\ge 2).Comment: 6 pages, 1 figur

Reduction theorems for optimal unambiguous state discrimination of density matrices