# Recycling the resource: Sequential usage of shared state in quantum teleportation with weak measurements

## TL;DR

This paper introduces a quantum teleportation protocol using weak measurements that preserves entanglement for multiple reuses, enhancing resource efficiency in quantum communication.

## Contribution

It proposes a novel teleportation scheme with weak measurements that allows multiple reuses of shared entanglement, unlike standard methods that destroy entanglement after measurement.

## Key findings

- Up to six reuses of the shared entangled state are possible.
- Reusability decreases as initial entanglement diminishes.
- Bell measurement with white noise outperforms other weak measurement strategies.

## Abstract

Complete measurements, while providing maximal information gain, results in destruction of the shared entanglement. In the standard teleportation scheme, the sender's measurement on the shared entangled state between the sender and the receiver has that consequence. We propose here a teleportation scheme involving weak measurements which can sustain entanglement upto a certain level so that the reusability of the shared resource state is possible. The measurements are chosen in such a way that it is weak enough to retain entanglement and hence can be reused for quantum tasks, yet adequately strong to ensure quantum advantage in the protocol. In this scenario, we report that at most six sender-receiver duos can reuse the state, when the initial shared state is entangled in a finite neighborhood of the maximally entangled state and for a suitable choice of weak measurements. However, we observe that the reusability number decreases with the decrease in the entanglement of the initial shared state. Among the weakening strategies studied, Bell measurement admixed with white noise performs better than any other low-rank weak measurements in this situation.