In this paper, we discussed the local preparation methods of two types of multi-qubit logical GHZ-type states using controlled quantum gates, and drew the corresponding quantum circuits. Subsequently, we investigated the measurement-related properties of logical GHZ-type state and thus proposed two multi-party quantum secret sharing schemes against collective-dephasing and collective-rotation noise, respectively. Further, we demonstrated that the schemes can effectively resist some familiar attack strategies. Finally, we analyzed the quantum efficiency of our schemes and made a comprehensive comparison with previous similar schemes.In this paper, we discussed the local preparation methods of two types of multi-qubit logical GHZ-type states using controlled quantum gates, and drew the corresponding quantum circuits. Subsequently, we investigated the measurement-related properties of logical GHZ-type state and thus proposed two multi-party quantum secret sharing schemes against collective-dephasing and collective-rotation noise, respectively. Further, we demonstrated that the schemes can effectively resist some familiar attack strategies. Finally, we analyzed the quantum efficiency of our schemes and made a comprehensive comparison with previous similar schemes.

Modern Physics Letters BAug 16, 20213 citations

Flexible for Multiple Equations about GHZ States and a Prototype Case

Chaonan Wang, Zexi Li, Hongfeng Zhu

International Journal of Theoretical PhysicsSep 14, 20215 citations

Classification of GHZ-type, W -type, and GHZ- W -type multiqubit entanglement

Lin Chen, Yi-Xin Chen

We propose the concept of SLOCC-equivalent basis in the multiqubit space. In particular, two special SEBs, the Greenberger-Horne-Zeilinger--(GHZ-) type and the $W$ -type basis are introduced. They can make up a more general family of multiqubit states, the GHZ- $W$ -type states, which is a useful kind of entanglement for quantum teleportation and error correction. We completely characterize the property of this type of state, and mainly classify the GHZ-type and the $W$ -type states in a regular way, which is related to the enumerative combinatorics. Many concrete examples are given to exhibit our method of classification. We also propose the condition on which two GHZ- $W$ -type states are interconvertible with probability 1.We propose the concept of SLOCC-equivalent basis in the multiqubit space. In particular, two special SEBs, the Greenberger-Horne-Zeilinger--(GHZ-) type and the $W$-type basis are introduced. They can make up a more general family of multiqubit states, the GHZ-$W$-type states, which is a useful kind of entanglement for quantum teleportation and error correction. We completely characterize the property of this type of state, and mainly classify the GHZ-type and the $W$-type states in a regular way, which is related to the enumerative combinatorics. Many concrete examples are given to exhibit our method of classification. We also propose the condition on which two GHZ-$W$-type states are interconvertible with probability 1.

arXiv:quant-ph/0605196Physical Review ADec 18, 200636 citations

Near-Optimal Ground State Preparation

Yu Tong, Lin Lin

Bulletin of the American Physical SocietyMar 19, 20210 citations

Joint Remote Preparation of a Multipartite GHZ-class State

Kui Hou, Jing Wang, Yilin Lu +1 more

International Journal of Theoretical PhysicsMar 13, 200954 citations

We propose the concept of SLOCC-equivalent basis in the multiqubit space. In particular, two special SEBs, the Greenberger-Horne-Zeilinger--(GHZ-) type and the

W

-type basis are introduced. They can make up a more general family of multiqubit states, the GHZ-

W

-type states, which is a useful kind of entanglement for quantum teleportation and error correction. We completely characterize the property of this type of state, and mainly classify the GHZ-type and the

W

-type states in a regular way, which is related to the enumerative combinatorics. Many concrete examples are given to exhibit our method of classification. We also propose the condition on which two GHZ-

W

-type states are interconvertible with probability 1.