论文标题
伪标准纠缠结构不能与标准纠缠结构区分开
Pseudo standard entanglement structure cannot be distinguished from standard entanglement structure
论文作者
论文摘要
对最大纠缠状态的实验验证可确保构造状态接近最大纠缠状态，但不能保证状态与最大纠缠状态完全相同。此外，即使我们强加了局部子系统完全等于量子系统，纠缠结构也不能在一般概率理论中唯一确定。因此，最大纠缠状态的存在取决于标准纠缠结构是否有效。为了检查这个问题，我们将伪标准纠缠结构引入了基于自然假设下的量子复合系统的结构，该结构基于投影测量的存在以及所有最大纠缠标准状态的近似值的存在。令人惊讶的是，存在与标准纠缠结构不同的许多伪标准纠缠结构。在我们的环境中，任何最大纠缠状态都可以由属于我们获得的伪标准纠缠结构的纠缠状态任意近似。也就是说，实验验证并不排除我们获得的伪标准纠缠结构的可能性，而伪标准的纠缠结构与标准纠缠结构不同。另一方面，这样的伪结构永远不会具有全球统一对称性，即全球统一对称性是标准纠缠结构的必要条件。
An experimental verification of the maximally entangled state ensures that the constructed state is close to the maximally entangled state, but it does not guarantee that the state is exactly the same as the maximally entangled state. Further, the entanglement structure is not uniquely determined in general probabilistic theories even if we impose that the local subsystems are fully equal to quantum systems. Therefore, the existence of the maximally entangled state depends on whether the standard entanglement structure is valid. To examine this issue, we introduce pseudo standard entanglement structure as a structure of quantum composite system under natural assumptions based on the existence of projective measurements and the existence of approximations of all maximally entangled standard states. Surprisingly, there exist infinitely many pseudo standard entanglement structures different from the standard entanglement structure. In our setting, any maximally entangled state can be arbitrarily approximated by an entangled state that belongs to our obtained pseudo standard entanglement structure. That is, experimental verification does not exclude the possibility of our obtained pseudo standard entanglement structure that is different from the standard entanglement structure. On the other hand, such pseudo structures never possess global unitary symmetry, i.e., global unitary symmetry is essential condition for the standard entanglement structure.
