If two particles are entangled, meaning their quantum states are correlated, and one of the particles is destroyed or undergoes a measurement that collapses its wave function, the state of the remaining particle will be affected.
When one of the entangled particles is destroyed or measured, the entanglement between the two particles is broken. As a result, the quantum state of the remaining particle is no longer entangled with the particle that was destroyed. The specific consequences on the remaining particle depend on the nature of the entangled system and the type of measurement or destruction that occurred.
In general, when the entanglement is broken, the quantum state of the remaining particle undergoes what is known as "reduction" or "collapse" to a specific state. This collapse is probabilistic, and the outcome is determined by the measurement or destruction process and the entangled state that was initially shared between the particles.
The collapse of the wave function of the remaining particle will occur instantaneously, regardless of the spatial separation between the two particles. This is because quantum entanglement allows for non-local correlations, meaning that the state of one particle can instantaneously affect the state of the other, even if they are physically separated.
It's important to note that the exact details of the collapse and its consequences would depend on the specific quantum system and the measurement or destruction process involved. The behavior of the remaining particle would need to be analyzed in the context of the specific experimental setup and the laws of quantum mechanics applicable to that system.