Criticality of quantum energy teleportation at phase transition points in quantum field theory

Quantum field theory can be a new medium for communication through quantum energy teleportation. We perform a demonstration of quantum energy teleportation with a relativistic fermionic field theory of self-coupled fermions, called the massive Thirring model. Our results reveal that there is a close relationship between the amount of energy teleported and the phase diagram of the theory. In particular, we show that the teleported energy peaks near the phase transition points. Since these results are obtained by measuring the two local subsystems, the noise from the quantum computation can be considerably reduced, allowing for efficient quantum simulations. Moreover, it is a new entanglement-based method that reveals global structure through local measurements.