论文标题
对高维的PPT平方猜想的研究
Investigation of the PPT Squared Conjecture for High Dimensions
论文作者
论文摘要
我们介绍了M. Christandl在Banff International Research Station研讨会上提出的积极的 - 转移平方:量子信息理论中的操作员结构(Banff International Research Station,Alberta,Alberta,2012年)。我们研究了较高维度的猜想,并提供了两种新颖的方法(量子通道的分解和组成),并相应地,几种用于查找该猜想的反例的方案。涉及在未解决的维度中涉及PPT量子通道组成的方案之一产生了一个潜在的反例。
We present the positive-partial-transpose squared conjecture introduced by M. Christandl at Banff International Research Station Workshop: Operator Structures in Quantum Information Theory (Banff International Research Station, Alberta, 2012). We investigate the conjecture in higher dimensions and offer two novel approaches (decomposition and composition of quantum channels) and correspondingly, several schemes for finding counterexamples to this conjecture. One of the schemes involving the composition of PPT quantum channels in unsolved dimensions yields a potential counterexample.