I understand that:
- "the quantum equivalent of the one time pad (i.e. XORing a message with a secret key) is quantum teleportation" (source)
- "the simplest way to generalize teleportation is to just repeat it" (source)
What I don't understand is how repeating teleportation could lead to "a data structure which is used to maintain a list of data items" (see this answer for more use cases for quantum XOR linked lists).
Hopefully someone can help me to understand how these concepts connect, because I do not understand teleportation well enough to see how it could be used to accomplish any of the use cases described in the answer to my XOR linked list question.
See also: Equivalent Quantum Circuits sections VII. A & B
As example applications we study quantum teleportation and dense coding protocols in terms of a simple XOR swapping circuit and give an intuitive picture of a basic gate teleportation circuit.