Quantum teleportation of quantum causal structures
Abstract
Quantum teleportation is a very helpful informationtheoretic protocol that allows to transfer an unknown arbitrary quantum state from one location to another without having to transmit the quantum system through the intermediate region. Quantum states, quantum channels, and indefinite causal structures are all examples of quantum causal structures that not only enable advanced quantum information processing functions, but can also model causal structures in nonclassical spacetimes. In this letter, we develop quantum teleportation of arbitrary quantum causal structures, as formalized by the process matrix framework. Instead of teleporting all the physical degrees of freedom that implement the causal structure, the central idea is to just teleport the inputs to and outputs from the operations of agents. The communication of outcomes of Bell state measurements, which is necessary for deterministic quantum teleportation, is not possible for all causal structures that one might wish to investigate. To avoid this problem, we propose partially and fully postselected teleportation protocols. We prove that our partially postselected teleportation protocol is compatible with all quantum causal structures, including those that involve indefinite causal order.
 Publication:

arXiv eprints
 Pub Date:
 March 2022
 DOI:
 10.48550/arXiv.2203.00433
 arXiv:
 arXiv:2203.00433
 Bibcode:
 2022arXiv220300433K
 Keywords:

 Quantum Physics;
 General Relativity and Quantum Cosmology
 EPrint:
 5+7 pages, 28 references, 7 figures