Quantum energy teleportation in phase space quantum mechanics
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In this paper, we investigate the quantum energy teleportation protocol within the phase space formulation of quantum mechanics. By employing the Wigner quasi-probability distribution and the star product, we show that the teleported energy is proportional to the amount of entanglement present in the initial ground state. Further, we introduce the Husimi Q-function on a Bloch coherent state in order to determine the Wehrl entropy of the system. Finally, the Wehrl entropy enables us to compute the consumption of coherence and entanglement throughout the protocol.