纠缠动物园I:基础和结构方面
Entanglement Zoo I: Foundational and Structural Aspects
摘要:
我们提出了一个一般的分类的结构描述的纠缠存在于复合实体实验违反贝尔不等式,利用一个新的纠缠方案,我们最近开发的。我们的方案,虽然不同于传统的,是完全兼容的标准量子理论,并使量子建模在复杂的希尔伯特空间中的不同类型的情况。也就是说,出现纠缠态和乘积测量的情况(“习惯量子模型”),以及状态和测量以及测量之间的演化纠缠的情况(“非局部盒子模型”,“非局部非边缘盒子模型”)。Tsirelson的约束和边际分布规律所发挥的作用被强调。在这个新的纠缠方案中,详细地给出了复希尔伯特空间中的具体量子模型。
英文摘要:
We put forward a general classification for a structural description of the entanglement present in compound entities experimentally violating Bell's inequalities, making use of a new entanglement scheme that we developed recently. Our scheme, although different from the traditional one, is completely compatible with standard quantum theory, and enables quantum modeling in complex Hilbert space for different types of situations. Namely, situations where entangled states and product measurements appear ('customary quantum modeling'), and situations where states and measurements and evolutions between measurements are entangled ('nonlocal box modeling', 'nonlocal non-marginal box modeling'). The role played by Tsirelson's bound and marginal distribution law is emphasized. Specific quantum models are worked out in detail in complex Hilbert space within this new entanglement scheme.
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