Teleportation of Post-Selected Quantum States

Quantum 8, 1280 (2024).

https://doi.org/10.22331/q-2024-03-14-1280

Teleportation allows Alice to send a pre-prepared quantum state to Bob using only pre-shared entanglement and classical communication. Here we show that it is possible to teleport a state which is also $it{post}$-selected. Post-selection of a state $Phi$ means that after Alice has finished her experiment she performs a measurement and only keeps runs of the experiment where the measurement outcome is $Phi$. We also demonstrate pre and post-selected $it{port}$-based teleportation. Finally we use these protocols to perform instantaneous non-local quantum computation on pre and post-selected systems, and significantly reduce the entanglement required to instantaneously measure an arbitrary non-local variable of spatially separated pre and post-selected systems.