Asymptotic Behavior and Limiting Distribution of Quantum Walk on Cycles with General U(2) Coin by Reduced Characteristic Matrix Method

Majid Moradi; Mostafa Annabestani

Asymptotic Behavior and Limiting Distribution of Quantum Walk on Cycles with General U(2) Coin by Reduced Characteristic Matrix Method

Quantum Physics 2019-10-01 v1

Authors: Majid Moradi , Mostafa Annabestani

Abstract

We calculated reduced density characteristic matrix (RDCM) for quantum walk on cycles (QWC) to study asymptotic properties of the most general form of quantum walk on cycles with general $U(2)$ coin operator. As an example, entanglement temperature for general initial state has been calculated and compared to previous results. Also, we have modified RDCM to derive analytical expression for general form of limiting distribution (LD).

Keywords

quantum walk cycles u(2) coin reduced characteristic matrix limiting distribution asymptotic behavior

Cite

@article{arxiv.1909.13075,
  title  = {Asymptotic Behavior and Limiting Distribution of Quantum Walk on Cycles with General U(2) Coin by Reduced Characteristic Matrix Method},
  author = {Majid Moradi and Mostafa Annabestani},
  journal= {arXiv preprint arXiv:1909.13075},
  year   = {2019}
}

Comments

9 pages, 8 figures

Asymptotic Behavior and Limiting Distribution of Quantum Walk on Cycles with General U(2) Coin by Reduced Characteristic Matrix Method

Abstract

Keywords

Cite

Comments

Related papers