English

Loss of exchange symmetry in multiqubit states under Ising chain evolution

Quantum Physics 2012-09-11 v2

Abstract

Keeping in view the exchange symmetry aspects in studies on spin squeezing of multiqubit states, we show that Ising type Hamiltonian does not retain the exchange symmetry of initially symmetric multiqubit states. Specifically, we show that all N-qubit states (N greater than or equal to 5) obeying permutation symmetry lose their symmetry after evolution with one dimensional Ising chain with nearest neighbor interactions. Among 4-qubit symmetric pure states, only W type states retain their symmetry under time evolution with Ising Hamiltonian.

Keywords

Cite

@article{arxiv.0907.3644,
  title  = {Loss of exchange symmetry in multiqubit states under Ising chain evolution},
  author = {Sudha Shenoy and Divyamani B. G and A. R. Usha Devi},
  journal= {arXiv preprint arXiv:0907.3644},
  year   = {2012}
}

Comments

8 pages, No figures Changed Title; Revised Content;Submitted version