I am sorry to miss your discusion with huntridge, 魯美麗, and chezclement.
Here is a sentence by chezclement:
糾纏中的兩個粒子不管距離多遠,觀察一個會瞬間改變另一個的狀態,速度無窮大,所以稱為EPR paradox.
Please let me start with the above sentence. Assume that we have 糾纏中的兩個粒子. Since they are 糾纏 together, the phase of one particle should tell the phase of the other. Then, we don't need anything else to be an encryption key.
This is like a story as follows: you are one person and I am the other. We are 糾纏 together and so you know what I am doing and I know what you are doing, but other people don't know our secrets. If this is true, it would be the ideal for people who need to keep an secret.
Then, why we need encryption key? If we do need it, then it is not 量子糾纏.
I actually know Schrodinger's equation, Feymann-Kac formula and other theoretical things. But I am sure if I am totally wrong in this very applied aspect.