Continuous variable port-based teleportation

TL;DR

This paper extends port-based teleportation to continuous variable systems, analyzing the $N=2$ case and interpreting the resulting channel as an energy truncation, with implications for quantum communication and simulation.

Contribution

It introduces a general formulation of port-based teleportation for continuous variables and provides a detailed analysis of the $N=2$ case.

Findings

Channel interpreted as energy truncation

Analysis of channels simulated after energy restriction

Extension of port-based teleportation to continuous variables

Abstract

Port-based teleportation is generalization of the standard teleportation protocol which does not require unitary operations by the receiver. This comes at the price of requiring $N>1$ entangled pairs, while $N=1$ for the standard teleportation protocol. The lack of correction unitaries allows port-based teleportation to be used as a fundamental theoretical tool to simulate arbitrary channels with a general resource, with applications to study fundamental limits of quantum communication, cryptography and sensing, and to define general programmable quantum computers. Here we introduce a general formulation of port-based teleportation in continuous variable systems and study in detail the $N=2$ case. In particular, we interpret the resulting channel as an energy truncation and analyse the kinds of channels that can be naturally simulated after this restriction.