Abstract

In recent years, the idea of reachable-set characterization based on the quantum speed limit (QSL) was proposed by Arenz et al. [New J. Phys. 19, 103015 (2017)]; that is, the reachable set of the target unitary gate in a closed qubit system can be characterized by considering the QSL as the necessary condition that the control setup must satisfy in order to achieve the goal. Inspired by this idea, in this paper we characterize a general Markovian open quantum system based on the QSL derived by Kobayashi and Yamamoto [Phys. Rev. A 102, 042606 (2020)]. Note that this bound is not only explicitly computable with respect to system parameters but also tighter than the other bounds. Some examples for demonstrating this analysis will be given.

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