Loss of exchange symmetry in multiqubit states under Ising chain evolution

Details Loss of exchange symmetry in multiqubit states under Ising chain evolution Loss of exchange symmetry in multiqubit states under Ising chain evolution

2009-07-21

arxiv.org/abs/0907.3644v2

Physics

Quantum Physics

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

Scientific paper

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.

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