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arXiv · 1411.6702

$d$ locally indistinguishable maximally entangled states in $\mathbb{C}^d\otimes\mathbb{C}^d$

Mao-Sheng Li·Yan-Ling Wang·Shao-Ming Fei·Zhu-Jun Zheng
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Abstract

We give a explicit construction of $d$ locally indistinguishable orthogonal maximally entangled states in $\mathbb{C}^d\otimes\mathbb{C}^d$ for any $d\geq 4$. This gives an answer to the conjecture proposed by S. Bandyopadhyay in 2009. Thus it reflects the nonlocality of the fundamental feature of quantum mechanics.

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Mao-Sheng Li, Yan-Ling Wang, Shao-Ming Fei, Zhu-Jun Zheng. 2014-12-09. $d$ locally indistinguishable maximally entangled states in $\mathbb{C}^d\otimes\mathbb{C}^d$. https://doi.org/10.1103/physreva.91.042318

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