Positive-partial-transpose square conjecture for n=3

Lin Chen; Yu Yang; Wai Shing Tang

doi:10.1103/PhysRevA.99.012337

Positive-partial-transpose square conjecture for n=3

Lin Chen^*
, Yu Yang
, Wai Shing Tang

^*此作品的通讯作者

数学科学学院

Chongqing Technology and Business University
National University of Singapore

科研成果: 期刊稿件 › 文章 › 同行评审

17 引用（Scopus）

摘要

We present the positive-partial-transpose (PPT) square conjecture introduced by M. Christandl Banff International Research Station Workshop: Operator Structures in Quantum Information Theory (Banff International Research Station, Alberta, 2012). We prove the conjecture in the case n=3 as a consequence of the fact that two-qutrit PPT states have Schmidt number of at most 2. The PPT square conjecture in the case of n≥4 is still open. We present an example to support the conjecture for n=4.

源语言	英语
文章编号	012337
期刊	Physical Review A
卷	99
期	1
DOI	https://doi.org/10.1103/PhysRevA.99.012337
出版状态	已出版 - 22 1月 2019

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Positive-partial-transpose square conjecture for n=3

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