Control cost and quantum speed limit time in controlled almost-exact state transmission in open systems
Control cost and quantum speed limit time in controlled almost-exact state transmission in open systems
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DOI：
10.1103/physreva.104.052424
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发表时间：
2021-06
影响因子：
2.9
通讯作者：
Shen-Shuang Nie;Feng-Hua Ren;Runhong He;Jing Wu;Zhao-Ming Wang
中科院分区：
文献类型：
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作者：
Shen-Shuang Nie;Feng-Hua Ren;Runhong He;Jing Wu;Zhao-Ming Wang
研究了脉冲控制下自旋链的准精确态传输（AEST）过程中，环境噪声对控制代价和量子速度极限时间（QST）的影响.链被浸没在其周围的非马尔可夫，有限温度的热浴。我们发现，AEST可以实现在弱系统浴耦合，低温，和强非马尔可夫浴有效的外部控制。相应地，控制成本和Q值随着浴温度和耦合强度的增加而增加。值得注意的是，来自浴的非马尔可夫性可以有助于降低控制成本和缩短Q值。此外，我们发现，存在着一个权衡之间的控制成本和传输保真度和更高的保真度需要更高的成本。此外，已发现的最小控制成本，以获得一定的传输保真度。
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 increases 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 higher fidelity requires higher cost. In addition, the minimum control cost has been found to obtain certain transmission fidelity.