Strong local passive state in the minimal quantum energy teleportation model
Abstract
Like quantum state teleportation, quantum energy teleportation (QET) can transmit energy through local operation and classical communication. This QET process even can extract energy from a strong local passive (SLP) state, from which any local operation can only inject energy. However, finding a SLP state is an important open question. In this paper, in the Hamiltonian of the minimal QET model, we obtain a set of SLP pure states by correlation matrix analysis. Our method is computable and easier to understand in certain Hamiltonians and states. Through the method of mathematic programming, we find an amazing phenomenon in which the energy teleportation efficiency can be greater than 1 and we reveal the essence of this phenomenon. It can be extended to the mixed state and spin chain model. Our result shows that quantum steering plays an important role in the QET protocol.
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