English

Quantum speedup, non-Markovianity and formation of bound state

Quantum Physics 2019-10-22 v1

Abstract

In this paper, we investigate the relationship between the quantum speedup, nonMarkovianity and formation of a system-environment bound state. Previous results show a monotonic relation between these three such that providing stronger bound states can lead to a higher degree of non-Markovianity, and hence to greater speed of quantum evolution. By studying dynamics of a dissipative two-level system or a V-type three-level system in the presence of similar and additional systems, we reveal that the quantum speedup is exclusively related to the formation of the system-environment bound state, while the non-Markovian effect of the system dynamics is neither necessary nor sufficient to speed up the quantum evolution. In the other hand, it is demonstrated that only the formation of the system-environment bound state plays a decisive role in the acceleration of the quantum evolution.

Keywords

Cite

@article{arxiv.1903.05335,
  title  = {Quantum speedup, non-Markovianity and formation of bound state},
  author = {Bahram Ahansaz and Abbas Ektesabi},
  journal= {arXiv preprint arXiv:1903.05335},
  year   = {2019}
}

Comments

20 pages, 5 figures