Note on the saturation of the norm inequalities between diamond and nuclear norm.
IEEE Transactions on Information Theory(2016)
摘要
The diamond norm plays an important role in quantum information and operator theory. Recently, it has also been proposed as a regularizer for low-rank matrix recovery. The norm constants that bound the diamond norm in terms of the nuclear norm (also known as trace norm) are explicitly known. This paper provides a simple characterization of all operators saturating the upper and lower bounds.
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关键词
Diamond,Linear matrix inequalities,Matrix decomposition,Upper bound,Quantum mechanics,Compressed sensing
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