pinkumbra said:Assume there are two particles which share the same quantum states (that is, if I understand correctly, both are probabilistically identical), but have not been through the process of entanglement. Let's assume they never interacted in any dimensions, they just happened to be identical. Would they thus be entangled because they're identical? That is, would action on one affect it's partner in the same way if it was traditionally entangled?
An equivalent quantum state refers to a state in which two or more quantum systems have the same physical properties, such as energy, momentum, and angular momentum. This means that the systems behave in the same way and have the same probability of producing the same measurement outcomes.
Entanglement occurs in equivalent quantum states when the systems share a common origin or have interacted in the past. This leads to a correlation between the systems, where the state of one system cannot be described independently of the other.
Yes, equivalent quantum states can exist without entanglement. Entanglement is not a necessary condition for two or more quantum systems to have equivalent states. However, entanglement is often a byproduct of equivalent quantum states.
Equivalent quantum states differ from classical states in that classical states are independent and separable, whereas equivalent quantum states are correlated and cannot be described independently. This is due to the probabilistic nature of quantum mechanics.
Entanglement is not necessary for quantum computing, but it is a useful resource. Entanglement allows for the manipulation of multiple quantum systems simultaneously, leading to the potential for more efficient and powerful quantum algorithms. However, classical algorithms can still be implemented on quantum computers without the use of entanglement.