Loss of Exchange Symmetry in Multiqubit States under Ising Chain Evolution

作     者：Sudha B.G.Divyamani A.R.Usha Devi 

作者机构：Department of PhysicsKuvempu UniversityShankaraghattaShimoga-577451India DAMTPCentre for Mathematical SciencesWilberforce RoadCambridgeCB3OWAUK Department of PhysicsBangalore UniversityBangalore-560056India Inspire Institute Inc.McLeanVA 22101USA. 

出 版 物：《Chinese Physics Letters》 (中国物理快报（英文版）)

年 卷 期：2011年第28卷第2期

页      面：39-42页

核心收录：

学科分类：07[理学] 0805[工学-材料科学与工程（可授工学、理学学位）] 070201[理学-理论物理] 0704[理学-天文学] 0702[理学-物理学] 

基　　金：Supported by D.C.Pavate Foundation Dharwad India in collaboration with Sidney Sussex College Cambridge UK. 

主　　题：symmetry Ising qubit 

摘      要：Keeping in view of importance of exchange symmetry aspects in studies on spin squeezing of multiqubit states,we show that the one-dimensional Ising Hamiltonian with nearest neighbor interactions does not retain the exchange symmetry of initially symmetric multiqubit states.Specifically we show that among 4-qubit states obeying exchange symmetry,all states except W class(and their linear combination)lose their symmetry under time evolution with Ising Hamiltonian.Attributing the loss of symmetry of the initially symmetric states to rotational asymmetry of the one-dimensional Ising Hamiltonian with more than 3 qubits,we indicate that all N-qubit states(N5)obeying permutation symmetry lose their symmetry after time evolution with Ising Hamiltonian.