Jiang Shu-Han, Xu Zhen-Peng, Su Hong-Yi, Pati Arun Kumar, Chen Jing-Ling
Theoretical Physics Division, Chern Institute of Mathematics, Nankai University, Tianjin 300071, People's Republic of China.
School of Physics, Nankai University, Tianjin 300071, People's Republic of China.
Phys Rev Lett. 2018 Feb 2;120(5):050403. doi: 10.1103/PhysRevLett.120.050403.
Here, we present the most general framework for n-particle Hardy's paradoxes, which include Hardy's original one and Cereceda's extension as special cases. Remarkably, for any n≥3, we demonstrate that there always exist generalized paradoxes (with the success probability as high as 1/2^{n-1}) that are stronger than the previous ones in showing the conflict of quantum mechanics with local realism. An experimental proposal to observe the stronger paradox is also presented for the case of three qubits. Furthermore, from these paradoxes we can construct the most general Hardy's inequalities, which enable us to detect Bell's nonlocality for more quantum states.
在此，我们给出了n粒子哈代悖论的最一般框架，其中包括哈代的原始悖论以及塞雷塞达的扩展悖论作为特殊情况。值得注意的是，对于任何n≥3，我们证明总是存在广义悖论（成功概率高达1/2^{n - 1}），这些悖论在展示量子力学与局域实在论的冲突方面比之前的悖论更强。对于三个量子比特的情况，还提出了一个观察更强悖论的实验方案。此外，从这些悖论中我们可以构建最一般的哈代不等式，这使我们能够检测更多量子态的贝尔非局域性。
