In quantum entanglement, the correlation between the properties of entangled particles is not determined by the method used to entangle them. The entanglement of particles occurs independently of the specific mechanism that created the entanglement.
When two particles become entangled, their quantum states become correlated, meaning that measurements on one particle instantaneously affect the state of the other, regardless of the distance between them. The specific properties that are entangled, such as spin, polarization, or position, depend on the nature of the particles involved and the experimental setup.
The entanglement between two particles can be such that their spins are opposite. This is often referred to as "spin anti-correlation." For example, if two spin-1/2 particles are entangled in a state called a singlet state, their spins will always be opposite when measured along the same axis.
It's important to note that the outcomes of individual measurements on entangled particles are probabilistic in nature. While the correlation between the particles is predetermined by the entanglement, the actual measurement results for each particle are uncertain and can only be predicted statistically. This probabilistic behavior is a fundamental aspect of quantum mechanics.
Therefore, the method used to entangle particles, such as through processes like beta decay or other interactions, does not determine the specific properties or correlations between the entangled particles. The entanglement itself is a fundamental property of the quantum state, independent of the method used to create it.