Knowing only a quantum state's mean energy, the maximum guaranteed unitary energy extraction or injection equals the energy-constrained minimum ergotropy or anti-ergotropy, which is computable by a linear program and attainable for antisymmetric Hamiltonians, diagonal states, or random unitaries.
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Extracting and charging energy into almost unknown quantum states
Knowing only a quantum state's mean energy, the maximum guaranteed unitary energy extraction or injection equals the energy-constrained minimum ergotropy or anti-ergotropy, which is computable by a linear program and attainable for antisymmetric Hamiltonians, diagonal states, or random unitaries.