Gapped spin Hamiltonian motivated by quantum teleportation

TL;DR

This paper introduces a gapped spin Hamiltonian that encodes quantum teleportation in its ground state, analyzed through exact diagonalization and mean-field theory, revealing connections to the AKLT model.

Contribution

It constructs a novel Hamiltonian whose ground state emulates quantum teleportation and explores its properties and relationship to the AKLT model.

Findings

The Hamiltonian has a finite energy gap.

Ground state encodes quantum teleportation.

Connections to the AKLT model are established.

Abstract

We construct a Hamiltonian whose ground state encodes a time-independent emulation of quan- tum teleportation. We calculate properties of the Hamiltonian, using exact diagonalization and a mean-field theory, and argue that it has a gap. The system exhibits an illuminating relationship to the well-known AKLT (Affleck, Lieb, Kennedy and Tasaki) model.