Abstract
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In this paper, we introduce an alternative quantum fidelity for quantum states which perfectly satisfies all of
Jozsa’s axioms and is zero for orthogonal states. By employing this fidelity, we derive an improved bound for
quantum-speed-limit time in open quantum systems in which the initial states can be chosen as either pure or
mixed. This bound leads to the well-known Mandelstamm-Tamm–type bound for nonunitary dynamics in the
case of initial pure states. However, in the case of initial mixed states, the bound provided by the introduced
fidelity is tighter and sharper than the obtained bounds in the previous works.
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