论文标题
在量子理论中统一两个非局部性概念
Unifying Two Notions of Nonlocality in Quantum Theory
论文作者
论文摘要
在本地运营和经典交流（LOCC）下，发现包含正交产品状态的合奏是无法区分的，从而在制备和区分过程中表现出不可逆性，通常被称为无纠缠的非局部性。另一方面，纠缠状态不兼容的测量引起的相关性导致钟声非局部性。我们将这两个概念从合适的全球统一转型下的某些财产的变化中统一。具体而言，我们证明在受控的不（CNOT）操作下，完整的产品基础可以在且仅当其在LOCC歧视的过程中不可可再生时创建纠缠状态。所提出的标准量化了甚至与不完整的产品状态相关的非局部性数量。对于具有纠缠状态的集合，我们对数量进行相应的修改，并表明它可以为更非局部性的现象提供解释，而纠缠较小。
Ensembles containing orthogonal product states are found to be indistinguishable under local operations and classical communication (LOCC), thereby showing irreversibility in the preparation and distinguishing processes, which is commonly known as nonlocality without entanglement. On the other hand, correlations arising from incompatible measurements on entangled states lead to Bell-nonlocality. We unify these two concepts from the change in certain property incurred in the ensemble under a suitable global unitary transformation. Specifically, we prove that under controlled-NOT (CNOT) operation, a full product basis can create entangled states if and only if the full bases or any subspace of it become irreducible in the process of LOCC discrimination. The proposed criteria quantifies the amount of nonlocality associated with the sets of product states which are even incomplete. For a set having entangled states, we modify the quantity accordingly and show that it can provide an explanation for the phenomena of more nonlocality with less entanglement.
