We report a single-neutron optical experiment to demonstrate the violation of a Bell-like inequality. Entanglement is achieved not between particles, but between the degrees of freedom, in this case, for a single-particle. The spin-{\small 1/2} property of neutrons are utilized. The total wave function of the neutron is described in a tensor product Hilbert space. A Bell-like inequality is derived not by a non-locality but by a contextuality. Joint measurements of the spinor and the path properties lead to the violation of a Bell-like inequality. Manipulation of the wavefunction in one Hilbert space influences the result of the measurement in the other Hilbert space. A discussion is given on the quantum contextuality and an entanglement-induced correlation in our experiment.
展开▼
机译：我们报告了一个单中子光学实验，以证明违反了贝尔式不等式。对于单个粒子，不是在粒子之间实现纠缠，而是在自由度之间实现纠缠。利用了中子的自旋{\ small 1/2}性质。在张量积希尔伯特空间中描述了中子的总波函数。像贝尔一样的不平等不是由非局部性而是由上下文引起的。联合测量转子和路径属性会导致违反Bell型不等式。在一个希尔伯特空间中操纵波函数会影响在另一个希尔伯特空间中的测量结果。在我们的实验中对量子上下文和纠缠诱导的相关性进行了讨论。
展开▼
