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Classically, no information can be transmitted through a depolarising, that is a completely noisy, channel.
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This maximum advantage over definite order is also attained by having an indefinite order of one fully depolarising channel and a unitary σ 2 \sigma_{2} or σ 3 \sigma_{3} channel, when the input states are the eigenstates of σ 2 \sigma_{2} and σ 3 \sigma_{3} , respectively
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Y. Guo, X.-M. Hu, Z.-B. Hou, H. Cao, J.-M. Cui, B.-H. Liu, Y.-F. Huang, C.-F. Li, G.-C. Guo, and G. Chiribella, Physical Review Letters 124
2020
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