Lower and upper bounds for entanglement of Renyi-α entropy

Wei Song; Lin Chen; Zhuo Liang Cao

doi:10.1038/s41598-016-0029-9

Lower and upper bounds for entanglement of Renyi-α entropy

Wei Song^*
, Lin Chen
, Zhuo Liang Cao

^*Corresponding author for this work

School of Mathematical Sciences

Hefei Normal University

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

Entanglement Rényi-α entropy is an entanglement measure. It reduces to the standard entanglement of formation when α tends to 1. We derive analytical lower and upper bounds for the entanglement Rényi-α entropy of arbitrary dimensional bipartite quantum systems. We also demonstrate the application our bound for some concrete examples. Moreover, we establish the relation between entanglement Rényi-α entropy and some other entanglement measures.

Original language	English
Article number	23
Journal	Scientific Reports
Volume	6
Issue number	1
DOIs	https://doi.org/10.1038/s41598-016-0029-9
State	Published - 2016

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abstract = "Entanglement R{\'e}nyi-α entropy is an entanglement measure. It reduces to the standard entanglement of formation when α tends to 1. We derive analytical lower and upper bounds for the entanglement R{\'e}nyi-α entropy of arbitrary dimensional bipartite quantum systems. We also demonstrate the application our bound for some concrete examples. Moreover, we establish the relation between entanglement R{\'e}nyi-α entropy and some other entanglement measures.",

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AB - Entanglement Rényi-α entropy is an entanglement measure. It reduces to the standard entanglement of formation when α tends to 1. We derive analytical lower and upper bounds for the entanglement Rényi-α entropy of arbitrary dimensional bipartite quantum systems. We also demonstrate the application our bound for some concrete examples. Moreover, we establish the relation between entanglement Rényi-α entropy and some other entanglement measures.

UR - https://www.scopus.com/pages/publications/85010874874

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VL - 6

JO - Scientific Reports

JF - Scientific Reports

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Lower and upper bounds for entanglement of Renyi-α entropy

Abstract

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