# Quantum Prison Break and the Infinitesimal Limit of Quantum Teleportation

### APA

Soda, B. (2023). Quantum Prison Break and the Infinitesimal Limit of Quantum Teleportation. Perimeter Institute. https://pirsa.org/23110051

### MLA

Soda, Barbara. Quantum Prison Break and the Infinitesimal Limit of Quantum Teleportation. Perimeter Institute, Nov. 09, 2023, https://pirsa.org/23110051

### BibTex

@misc{ pirsa_PIRSA:23110051, doi = {10.48660/23110051}, url = {https://pirsa.org/23110051}, author = {Soda, Barbara}, keywords = {Quantum Foundations}, language = {en}, title = {Quantum Prison Break and the Infinitesimal Limit of Quantum Teleportation}, publisher = {Perimeter Institute}, year = {2023}, month = {nov}, note = {PIRSA:23110051 see, \url{https://pirsa.org}} }

Barbara Soda Perimeter Institute for Theoretical Physics

## Abstract

We will present a teleportation protocol which uses the properties of superoscillatory wavefunctions. Then we will briefly introduce a different protocol, the port based teleportation. We will use it to study teleportation over infinitesimally small distances, where the vacuum of a quantum field serves as the source of entanglement. We find that the resulting motion is equivalent to a quantum teleportation-induced Brownian motion. Purifying the interactions, from measurements to unitary operations, leads to motion described by Schrodinger’s equation. Therefore, we find that the notions of teleportation and continuous quantum and classical motion are unified in this sense.

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