Long-Range Bell States from Local Measurements and Many-Body Teleportation without Time-Reversal

TL;DR

This paper demonstrates a novel method for quantum many-body teleportation in a 2D spin system using local measurements and special eigenstates, avoiding the need for double copies and time-reversal.

Contribution

It introduces a new protocol for teleportation in a 2D spin system leveraging rainbow scar eigenstates and local measurements, bypassing traditional constraints.

Findings

Successful teleportation without double system copies

Generation of long-range entanglement via rainbow scars

Protocol using local measurements and feedback control

Abstract

In this work, we study quantum many-body teleportation, where a single qubit is teleported through a strongly-interacting quantum system, as a result of a scrambling unitary and local measurements on a few qubits. Usual many-body teleportation protocols require a double copy of the system, and backward time evolution, we demonstrate that teleportation is possible in the 2D spin-$1/2$ XY model, without these constraints. The necessary long-range entanglement for teleportation is generated from the model hosting special eigenstates known as rainbow scars. We outline a specific protocol for preparing this highly entangled state by evolving a product state and performing iterative measurements on only two qubits with feedback control.