A counterexample to the 'additivity question', the most celebrated open problem in the mathematical theory of quantum information, casts doubt on the possibility of finding a simple expression for the information capacity of a quantum channel.
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Shor, P. The bits don't add up. Nature Phys 5, 247–248 (2009). https://doi.org/10.1038/nphys1242
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DOI: https://doi.org/10.1038/nphys1242
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