Recently Wei-Bo Gao et al.[Phys.Rev.Lett.104 (2010) 020501]; reported on the creation of a 4-photon6-qubit cluster state.It is shown this states can be utilized for perfect teleportation of arbitrary three qubit syste...Recently Wei-Bo Gao et al.[Phys.Rev.Lett.104 (2010) 020501]; reported on the creation of a 4-photon6-qubit cluster state.It is shown this states can be utilized for perfect teleportation of arbitrary three qubit systemsand controlled teleportation of an arbitrary two-qubit state.Therefore, the six-qubit cluster state as quantum channelsis equivalent to that of maximally six-qubit entangled state.展开更多
As the simultaneous eigenstates of a complete set of commuting observables (CSCO) consisting of threebody operators of the form σ1ασ2βσrsγ, the construction of entangled states for a three-particle system is inv...As the simultaneous eigenstates of a complete set of commuting observables (CSCO) consisting of threebody operators of the form σ1ασ2βσrsγ, the construction of entangled states for a three-particle system is investigated. It is shown that there exist 54 different sets of operators (each containing four commuting three-body operators with their product being -1) and any three members of each set constitute a CSCO. It is found that 54 different sets of maximally entangled states can be constructed, including the usual GHZ (Greenberg-Horne-Zeilinger) state as a special case. Once a preferential representation is adopted, all of them can be expressed as a GHZ-like form. Moreover, there also exist 18sets of partially entangled states, where only two particles are entangled.展开更多
基金Supported by the National Natural Science Foundation of China under Grant No.10902083 Shaanxi Natural Science Foundation under Grant No.2009JM1007
文摘Recently Wei-Bo Gao et al.[Phys.Rev.Lett.104 (2010) 020501]; reported on the creation of a 4-photon6-qubit cluster state.It is shown this states can be utilized for perfect teleportation of arbitrary three qubit systemsand controlled teleportation of an arbitrary two-qubit state.Therefore, the six-qubit cluster state as quantum channelsis equivalent to that of maximally six-qubit entangled state.
文摘As the simultaneous eigenstates of a complete set of commuting observables (CSCO) consisting of threebody operators of the form σ1ασ2βσrsγ, the construction of entangled states for a three-particle system is investigated. It is shown that there exist 54 different sets of operators (each containing four commuting three-body operators with their product being -1) and any three members of each set constitute a CSCO. It is found that 54 different sets of maximally entangled states can be constructed, including the usual GHZ (Greenberg-Horne-Zeilinger) state as a special case. Once a preferential representation is adopted, all of them can be expressed as a GHZ-like form. Moreover, there also exist 18sets of partially entangled states, where only two particles are entangled.
