For the sake of making this kind of useful quantum information resource of quantum entanglement.Here we propose a new prepare process on the foundation of the cavity quantum electrodynamics technique project of the resonance interaction,put forward a kind of making process that atom entangled state.Made to prepare two typical quantum entangled states in cavity QED: GHZ and W states of atoms,which belong to inequivalent classes of entangled states.GHZ state is maximally entangled state,while W states are non-maximally entangled states.They hold many interesting applications in quantum information processing and high-precision measurements.Therefore it is expected to be implemented with the current cavity QED experimental technology.For the sake of making this kind of useful quantum information resource of quantum entanglement.Here we propose a new prepare process on the foundation of the cavity quantum electrodynamics technique project of the resonance interaction,put forward a kind of making process that atom entangled state.Made to prepare two typical quantum entangled states in cavity QED: GHZ and W states of atoms,which belong to inequivalent classes of entangled states.GHZ state is maximally entangled state,while W states are non-maximally entangled states.They hold many interesting applications in quantum information processing and high-precision measurements.Therefore it is expected to be implemented with the current cavity QED experimental technology.

Natural Science Journal of Xiangtan UniversityJan 1, 20090 citations

Two local observables are sufficient to characterize maximally entangled states of N qubits

Fengli Yan, Ting Gao, Eric Chitambar

Maximally entangled states (MES) represent a valuable resource in quantum information processing. In $N$ -qubit systems the MES are $N$ -GHZ states [i.e., the collection of $|{\mathrm{GHZ}}_{N}\ensuremath{\rangle}=\frac{1}{\sqrt{2}}(|00\dots{}0\ensuremath{\rangle}+|11\dots{}1\ensuremath{\rangle})]$ and its local unitary (LU) equivalences. While it is well known that such states are uniquely stabilized by $N$ commuting observables, in this article we consider the minimum number of noncommuting observables needed to characterize an $N$ -qubit MES as the unique common eigenstate. Here, we prove, rather surprisingly, that in this general case any $N$ -GHZ state can be uniquely stabilized by only two observables. Thus, for the task of MES certification, only two correlated measurements are required with each party observing the spin of his or her system along one of two directions.Maximally entangled states (MES) represent a valuable resource in quantum information processing. In $N$-qubit systems the MES are $N$-GHZ states [i.e., the collection of $|{\mathrm{GHZ}}_{N}\ensuremath{\rangle}=\frac{1}{\sqrt{2}}(|00\dots{}0\ensuremath{\rangle}+|11\dots{}1\ensuremath{\rangle})]$ and its local unitary (LU) equivalences. While it is well known that such states are uniquely stabilized by $N$ commuting observables, in this article we consider the minimum number of noncommuting observables needed to characterize an $N$-qubit MES as the unique common eigenstate. Here, we prove, rather surprisingly, that in this general case any $N$-GHZ state can be uniquely stabilized by only two observables. Thus, for the task of MES certification, only two correlated measurements are required with each party observing the spin of his or her system along one of two directions.

arXiv:1011.0987Physical Review AFeb 22, 201147 citations

Greenberger–Horne–Zeilinger states: Their identifications and robust violations

Xing-Yan Fan, Jie Zhou, Hui-Xian Meng +3 more

The [Formula: see text]-qubit Greenberger–Horne–Zeilinger (GHZ) states are the maximally entangled states of [Formula: see text] qubits, which have had many important applications in quantum information processing, such as quantum key distribution and quantum secret sharing. Thus how to distinguish the GHZ states from other quantum states becomes a significant problem. In this work, by presenting a family of the generalized Clauser–Horne–Shimony–Holt (CHSH) inequality, we show that the [Formula: see text]-qubit GHZ states can be indeed identified by the maximal violations of the generalized CHSH inequality under some specific measurement settings. The generalized CHSH inequality is simple and contains only four correlation functions for any [Formula: see text]-qubit system, thus has the merit of facilitating experimental verification. Furthermore, we present a quantum phenomenon of robust violations of the generalized CHSH inequality in which the maximal violation of Bell’s inequality can be robust under some specific noises adding to the [Formula: see text]-qubit GHZ states.The [Formula: see text]-qubit Greenberger–Horne–Zeilinger (GHZ) states are the maximally entangled states of [Formula: see text] qubits, which have had many important applications in quantum information processing, such as quantum key distribution and quantum secret sharing. Thus how to distinguish the GHZ states from other quantum states becomes a significant problem. In this work, by presenting a family of the generalized Clauser–Horne–Shimony–Holt (CHSH) inequality, we show that the [Formula: see text]-qubit GHZ states can be indeed identified by the maximal violations of the generalized CHSH inequality under some specific measurement settings. The generalized CHSH inequality is simple and contains only four correlation functions for any [Formula: see text]-qubit system, thus has the merit of facilitating experimental verification. Furthermore, we present a quantum phenomenon of robust violations of the generalized CHSH inequality in which the maximal violation of Bell’s inequality can be robust under some specific noises adding to the [Formula: see text]-qubit GHZ states.

arXiv:2106.01550Modern Physics Letters AOct 9, 20212 citations

Systematic structure of maximally entangled bell-, GHZ-states and teleportation

Tetsuya Yoneda, Tatsuo Akamine, Tomonori Oda +2 more

Physics reports of the Kumamoto UniversityNov 1, 20000 citations

Maximally entangled states (MES) represent a valuable resource in quantum information processing. In

N

-qubit systems the MES are

N

-GHZ states [i.e., the collection of $|{\mathrm{GHZ}}_{N}\ensuremath{\rangle}=\frac{1}{\sqrt{2}}(|00\dots{}0\ensuremath{\rangle}+|11\dots{}1\ensuremath{\rangle})]$ and its local unitary (LU) equivalences. While it is well known that such states are uniquely stabilized by

N

commuting observables, in this article we consider the minimum number of noncommuting observables needed to characterize an

N

-qubit MES as the unique common eigenstate. Here, we prove, rather surprisingly, that in this general case any

N

-GHZ state can be uniquely stabilized by only two observables. Thus, for the task of MES certification, only two correlated measurements are required with each party observing the spin of his or her system along one of two directions.