entanglement

what is entanglement?
how can a single particle exist in different states at same time?
and how can we control the state of one particle by controlling the state of other?
how is parallel processing possible in quantum computers?

Answers

1) Single particle CAN exist at different states at the same time, we don't know how. We only know, that it can. This effect is called "superposition", not entanglement. I.e. one can say, that particle IS in superpostion of states A, B, C, with some weights.

2) Entanglement is the effect, when TWO (or more) particles (or systems) exist in several states each, and each single state of one particle correlates somehow with anothes single state of second particle. This is not influence, this is just correlation. Entagled particles are not independent.

3) We cannot control the state of a distant entangled particle. We can just observe correlation. Particles ignore us and our influations, they just correlates with each other. I.e. they depends on each other, but independent of us.

4) The superpusition is the key. If we encode many input parameters in superposition of many states of one particle, we can parform operations against the full collection of states simultaneously.