Detection of Beyond-Quantum Non-locality based on Standard Local Quantum Observables
Detection of Beyond-Quantum Non-locality based on Standard Local Quantum Observables
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发表时间：
2023-01
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通讯作者：
Hayato Arai;Masahito Hayashi
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作者：
Hayato Arai;Masahito Hayashi
与设备无关的量子非定域性检测（如Bell-CHSH不等式）是检测量子非定域性的重要方法，因为整个协议可以由未经证明的局域观测量实现。然而，这种探测并不足以证明标准量子理论的合理性，因为在广义概率论中，理论上存在多种类型的超量子非定域态。其中一个重要的类别是纠缠结构（ES），它包含超越量子的非局域态，即使它们的局域系统完全等价于标准量子系统。本文证明了任何设备独立探测都不能区分超量子非局域态和标准量子态。为了克服这个问题，本文提出了一种基于局域观测量的设备相关检测方法，可以将任意的超量子非局域态与所有的标准量子态区分开来。特别地，我们给出了一种通过只观察局域系统的自旋观测量来检测两量子比特ES中任意超量子非局域态的方法。
Device independent detections of quantum non-locality like Bell-CHSH inequality are important methods to detect quantum non-locality because the whole protocol can be implemented by uncertified local observables. However, this detection is not sufficient for the justification of standard quantum theory, because there are theoretically many types of beyond-quantum non-local states in General Probabilistic Theories. One important class is Entanglement Structures (ESs), which contain beyond-quantum non-local states even though their local systems are completely equivalent to standard quantum systems. This paper shows that any device independent detection cannot distinguish beyond-quantum non-local states from standard quantum states. To overcome this problem, this paper gives a device dependent detection based on local observables to distinguish any beyond-quantum non-local state from all standard quantum states. Especially, we give a way to detect any beyond-quantum non-local state in two-qubit ESs by observing only spin observables on local systems.