Quantum energy teleportation via random bi-partitioning in N-qubit systems

Abstract: This study investigates quantum energy teleportation (QET) using stochastic bi-partitioning in an $N-$body Hamiltonian system. In this protocol, project measurements are performed on $(N - m)$ qubits to capture quantum fluctuation information of the $N-$qubit ground state during external energy injection. Significantly, the information reaches the sites of the remaining $m$ qubits faster than the energy diffuses, allowing for extracting the ground state energy through local operations. Our results show that increasing the number of qubits $N$ enhances the available energy for QET, with efficiency peaking when $(N - 1)$ qubits are inputs and one is an output. We also find a strong correlation between energy transfer efficiency and ground-state entanglement. Increasing the parameter $\frac{k}{h}$ improves both efficiency and entanglement until reaching a plateau. Overall, more qubits lead to higher energy transfer efficiency and entanglement, highlighting their critical roles in QET performance.