The paper shows that for some pairs of unitary channels, perfect discrimination is possible with separable states but nearly impossible with maximally entangled states, introducing MEWC and MEBC concepts.
Note on the saturation of the norm inequalities between diamond and nuclear norm
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abstract
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 note provides a simple characterization of all operators saturating the upper and the lower bound.
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quant-ph 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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Entanglement in quantum channel discrimination: sometimes less is more
The paper shows that for some pairs of unitary channels, perfect discrimination is possible with separable states but nearly impossible with maximally entangled states, introducing MEWC and MEBC concepts.