Non-Additivity of Minimum Output p-$\mathbf{R\acute{e}nyi}$ Entropy

Nengkun Yu; Mingsheng Ying

Non-Additivity of Minimum Output p-$\mathbf{R\acute{e}nyi}$ Entropy

Quantum Physics 2012-12-27 v2

Authors: Nengkun Yu , Mingsheng Ying

Abstract

Hastings disproved additivity conjecture for minimum output entropy by using random unitary channels. In this note, we employ his approach to show that minimum output $p-$ R\'{e}nyi entropy is non-additive for $p\in(0,p_0)\cup(1-p_0,1)$ where $p_0\approx 0.2855$ .

Keywords

non-additivity minimum output Rényi entropy random unitary channels quantum information additivity conjecture

Cite

@article{arxiv.1006.1733,
  title  = {Non-Additivity of Minimum Output p-$\mathbf{R\acute{e}nyi}$ Entropy},
  author = {Nengkun Yu and Mingsheng Ying},
  journal= {arXiv preprint arXiv:1006.1733},
  year   = {2012}
}

Comments

This paper has been withdrawn by the author due to a crucial error

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