arXiv:2106.09298 · Physical Review A

Control cost and quantum speed limit time in controlled almost-exact state transmission in open systems

Shen-Shuang Nie, Feng-Hua Ren, Run-Hong He, Jing Wu, Zhao-Ming Wang

Published Nov 22, 2021• 14 citations

Abstract

We investigate the influence of environment noise on the control cost and the quantum speed limit time (QSLT) in the process of almost-exact state transmission (AEST) through a spin chain under pulse control. The chain is immersed in its surrounding non-Markovian, finite-temperature heat baths. We find that AEST can be realized in weak system-bath coupling, low temperature, and strong non-Markovian baths under effective external control. Correspondingly, the control cost and QSLT increase with increasing bath temperature and coupling strength. It is noticeable that non-Markovianity from the baths can be helpful to reduce the control cost and shorten the QSLT. Furthermore, we find that there exists a trade-off between the control cost and transmission fidelity and that higher fidelity requires higher cost. In addition, the minimum control cost has been found to obtain certain transmission fidelity.

DOI: 10.1103/physreva.104.052424

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