双qutrit Werner态总是局域的
Two-qutrit Werner state is always local
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- University of Łódź(罗兹大学)
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中文总结 AI 辅助
本文证明双qutrit Werner态在每站点两个投影测量、三个结果的场景下对所有参数值均具有局域隐变量模型,通过推导充分条件并验证其满足CGLMP不等式。
中文摘要 AI 辅助
在我们的论文中,我们证明了一个双qutrit Werner态在每站点两个投影测量、每次测量三个结果的场景中,对所有参数值都允许一个局域隐变量模型。为此,我们推导了一个简单的充分条件,在该条件下,一个双qutrit态对于Alice和Bob的任意可观测量的选择满足Collins-Gisin-Linden-Massar-Popescu不等式,并证明Werner态总是满足此条件。接下来,我们利用这样一个事实:任何对于Alice和Bob的任意可观测量的选择满足Collins-Gisin-Linden-Massar-Popescu不等式的双qutrit态都允许一个局域隐变量模型。
英文摘要
In our paper, we show that a two-qutrit Werner state admits a local hidden-variable model for all values of the parameter in a scenario involving two projective measurements per site, with three outcomes per measurement. To this end, we derive a simple sufficient condition under which a two-qutrit state satisfies the Collins-Gisin-Linden-Massar-Popescu inequality for arbitrary choices of Alice's and Bob's observables, and show that the Werner state always satisfies this condition. Next, we use the fact that any two-qutrit state satisfying the Collins-Gisin-Linden-Massar-Popescu inequality for arbitrary choices of Alice's and Bob's observables admits a local hidden variable model.