We consider causality respecting (CR) quantum systems interacting with closedtimelike curves (CTCs), within the Deutsch model. We introduce the concepts ofpopping up and elimination of quantum information and use them to show thatno-cloning and no-deleting, which are true in CR quantum systems, are no morevalid in the same that are interacting with CTCs. We also find limits on thepossibility of creation of entanglement between CR systems and CTCs. We provethat teleportation of quantum information, even in its approximate version,from a CR region to a CTC is disallowed. We subsequently show that tweaking theDeutsch model, by allowing the input and output to be not the same, leads to anontrivial approximate teleportation beyond the classical limit.
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