Perfect information transfer in neighbor-coupled spin chains

Xin Chen, Yaoxiong Wang, Junhui Shi, Herschel Albert Rabitz, Feng Shuang

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We study how to engineer parameters for perfect information transfer in neighbor-coupled spin chains. The 2N-dimensional Hilbert space associated with quantum information transfer over the spin chain can be projected into an N-dimensional subspace, so the Hamiltonian of the system will be reduced to a tridiagonal matrix in a standard basis. The functional relation between the parameters of the spin chain and the eigenvalue spectrum of the Hamiltonian, which can be determined by the perfect transfer conditions, are established. The task of finding all solutions to the parameters of perfect information transfer is accomplished by solving polynomial equations. All analytical solutions from 3 qubits to 9 qubits are presented. The results could be used to analyze structures of the chain or find particular chains with optimal properties.

Original languageEnglish (US)
Title of host publicationProceedings of the 29th Chinese Control Conference, CCC'10
Pages5913-5917
Number of pages5
StatePublished - Dec 22 2010
Event29th Chinese Control Conference, CCC'10 - Beijing, China
Duration: Jul 29 2010Jul 31 2010

Publication series

NameProceedings of the 29th Chinese Control Conference, CCC'10

Other

Other29th Chinese Control Conference, CCC'10
CountryChina
CityBeijing
Period7/29/107/31/10

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering

Keywords

  • Information transfer
  • Qunatum information
  • Spin chain
  • State transfer

Fingerprint Dive into the research topics of 'Perfect information transfer in neighbor-coupled spin chains'. Together they form a unique fingerprint.

  • Cite this

    Chen, X., Wang, Y., Shi, J., Rabitz, H. A., & Shuang, F. (2010). Perfect information transfer in neighbor-coupled spin chains. In Proceedings of the 29th Chinese Control Conference, CCC'10 (pp. 5913-5917). [5572585] (Proceedings of the 29th Chinese Control Conference, CCC'10).