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Elkouss, David and Strelchuk, Sergii
(2015)
*Superadditivity of Private Information for Any Number of Uses of the Channel.*
Physical Review Letters, 115
(4).
ISSN 0031-9007

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Official URL: http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.115.040501

## Abstract

The quantum capacity of a quantum channel is always smaller than the capacity of the channel for private communication. Both quantities are given by the infinite regularization of the coherent and the private information, respectively, which makes their evaluation very difficult. Here, we construct a family of channels for which the private and coherent information can remain strictly superadditive for unbounded number of uses, thus demonstrating that the regularization is necessary. We prove this by showing that the coherent information is strictly larger than the private information of a smaller number of uses of the channel. This implies that even though the quantum capacity is upper bounded by the private capacity, the nonregularized quantities can be interleaved.

Item Type: | Article |
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Uncontrolled Keywords: | Communication channels (information theory); Private communication; Private information; Quantum capacity; Quantum channel; Superadditive; Superadditivity |

Subjects: | Sciences > Physics > Mathematical physics |

ID Code: | 33168 |

Deposited On: | 17 Sep 2015 09:08 |

Last Modified: | 29 Sep 2015 10:02 |

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