Additivity of the Renyi entropy of order 2 for positive-partial-transpose-inducing channels
| Autor: | Dierckx, B., Fannes, M., Vandenplas, C. |
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| Rok vydání: | 2008 |
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| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevA.77.060302 |
| Popis: | We prove that the minimal Renyi entropy of order 2 (RE2) output of a positive-partial-transpose(PPT)-inducing channel joint to an arbitrary other channel is equal to the sum of the minimal RE2 output of the individual channels. PPT-inducing channels are channels with a Choi matrix which is bound entangled or separable. The techniques used can be easily recycled to prove additivity for some non-PPT-inducing channels such as the depolarizing and transpose depolarizing channels, though not all known additive channels. We explicitly make the calculations for generalized Werner-Holevo channels as an example of both the scope and limitations of our techniques. Comment: 4 pages |
| Databáze: | arXiv |
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