Timelike Quantum Energy Teleportation

Abstract: We establish a novel quantum protocol called Timelike Quantum Energy Teleportation (TQET), designed for transporting quantum energy across space-time. This protocol uses temporal and spatial quantum correlations between agents separated by space and time. The energy supplier injects energy into the system by measuring the ground state of a many-body system that evolves over time, while the distant recipient performs a conditional operation using feedback from the supplier. When both supplier and recipient operate within the same time frame, this is called Quantum Energy Teleportation (QET). A proof-of-concept was performed for the Ising model, utilizing quantum simulations. TQET increases energy efficiency from approximately 3% to around 40%, representing over a 13-fold improvement compared to QET. Furthermore, we analyzed the relationship between entanglement in time and TQET, validating the role of temporal correlations in energy activation between agents across space-time.