https://doi.org/10.1140/epjp/s13360-023-04028-8
Regular Article
The quantum speed limit time of a qubit in amplitude-damping channel with weak measurement controls
1
Department of Information Engineering, Changzhou Vocational Institute of Industry Technology, 213164, Changzhou, Jiangsu, China
2
School of Physical Science and Technology, Yangzhou University, 225009, Yangzhou, Jiangsu, China
3
Department of Physics, East China University of Technology, 330000, Nanchang, China
Received:
7
May
2022
Accepted:
26
April
2023
Published online:
23
May
2023
The minimum evolution time a quantum system undergoes can be presented as quantum speed limit (QSL) time. We investigate the QSL time of a qubit system undergoing the generalized amplitude damping (GAD) channel. By adding weak measurements before and after the channel, a method to accelerate the evolution process of the qubit system is proposed. It is proven that the QSL time can be shortened under the influence of weak measurements comparing with the situation without measurements, and by changing the value of temperature parameter in the channel we find the QSL time of a qubit in both AD channel and GAD channel can be adjusted by weak measurements performed before and after the noise channel. In addition, we also study the effect from weak measurements on the optimal evolution speed in terms of quantum Fisher information (QFI). We find that we add weak pre-measurement N and post-measurement M in the GAD noise channel, there is higher speed of evolution comparing with the case of without measurement. These two quantum speed limit parameters give us evidence that weak measurement control can have the potential to speed up the evolution of quantum system under a noise environment.
Yunfei Shi and Chaoquan Wang have contributed equally to this work.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
