Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Laser Physics

Constructing seven ququarts absolutely maximally entangled state via recurrence relation

Haiqing Huang, Irfan Ahmed, Da Zhang, Xin-Wei Zha, Yanpeng Zhang

Published Dec 14, 2020• 2 citations
Publisher

Abstract

Abstract Recently, Che and Wu (2019 Int. J. Theor. Phys. 58 584–90) presented a recurrence relation of multi-qubit states. Inspired by this, we present the recurrence relation of ququart maximally entangled states. Further, via the recurrence relation of six ququarts maximally entangled states, a seven ququarts absolutely maximally entangled state can be constructed. We also show this state is the three-uniform state of seven ququarts states.

DOI
10.1088/1555-6611/abcf24

Related papers

Constructing five qutrit absolutely maximally entangled state via recurrence relation

Xin-Wei Zha, Irfan Ahmed, Yanpeng Zhang

Abstract Recently, Che et al presented a recurrence relation of multi-qubit states. Regarding this inspiration, we give and extend the recurrence relation of multi-qubit states to the recurrence relation of maximally qutrit entangled states. We also establish absolutely maximally entangled five qutrits states via maximally entangled four qutrits states. We also demonstrate that such a state is the 2-uniform state of five qutrits states.

Laser Physics•Jun 1, 2020•7 citations

Constructing a maximally multi-qubit entangled state via expanded recurrence relation

Haiqing Huang, Irfan Ahmed, Xin-Wei Zha +1 more

Abstract The notion of a maximally entangled state depends on the measure used to give rise to a rich envision of multipartite state. Recently, Che et al presented a recurrence relation of multi-qubit states. According to this inspiration, we present an expanded recurrence relation of the maximally multipartite state. Using this expanded recurrence relation and Bell state, some new forms of the maximally four-, six-, eight-qubits states are presented. The construct of the maximally multipartite state through recurrence relationships is of great potential.

Laser Physics Letters•Aug 31, 2021•6 citations

Construct maximally seven-qubit entangled state via Brown state

Yazhou Yue, Erdun Minze, Yuanzheng Liu +1 more

It is worth studying recurrence relation of multi-qubit states due to its benefits to the criterion and measurement of quantum entanglement. Recently, Huang et al. presented an expand recurrence relation of multi-qubit state. Using this expand recurrence relation and Brown state, we construct a new seven-qubit maximally entangled states of 32 and 3 balanced purities equal to 1/8 and 1/4, whose averaged subsystem purity is equal to 19/140. We found that the marginal density matrices for subsystems of 1 and 2 qubits all completely mixed in these states.

International Journal of Modern Physics B•Sep 22, 2022•1 citation

A maximally entangled seven-qubit state

Xin-Wei Zha, Haiyang Song, Jianxia Qi +2 more

A highly entangled seven-qubit state is reported that sheds some new light on a recent conjecture by Borras et al (2007 J. Phys. A: Math. Theor. 40 13407). The seven-qubit state given in this paper has 32 balanced purities equal to 1/8 and the remaining three purities equal to 1/4, whose marginal density matrices for subsystems of one and two qubits are all completely mixed.

arXiv:1110.5011•Journal of Physics A Mathematical and Theoretical•May 29, 2012•27 citations

The Recurrence Relation of Maximally Six-, Seven- and Eight-Qubit Entangled States

Pengwei Zhi, Yi Hu

International Journal of Theoretical Physics•May 7, 2021•1 citation

Searching for an absolutely maximally five-level entangled state

Xin-Wei Zha

Abstract Entangled states play an important role in quantum computation and information. In this paper, for a five-level entangled state, we define some unitary operations and give an operator multiplication. With the help of the unitary operation, we obtain some local unitary equivalent bipartite and tripartite five-level absolutely maximally entangled states (AMES). Furthermore, by using recurrence relations, some four-partite and five-partite five-level AMES can be constructed.

Laser Physics•Nov 1, 2024•0 citations
Abstract Recently, Che and Wu (2019 Int. J. Theor. Phys. 58 584–90) presented a recurrence relation of multi-qubit states. Inspired by this, we present the recurrence relation of ququart maximally entangled states. Further, via the recurrence relation of six ququarts maximally entangled states, a seven ququarts absolutely maximally entangled state can be constructed. We also show this state is the three-uniform state of seven ququarts states.
Abstract The notion of a maximally entangled state depends on the measure used to give rise to a rich envision of multipartite state. Recently, Che et al presented a recurrence relation of multi-qubit states. According to this inspiration, we present an expanded recurrence relation of the maximally multipartite state. Using this expanded recurrence relation and Bell state, some new forms of the maximally four-, six-, eight-qubits states are presented. The construct of the maximally multipartite state through recurrence relationships is of great potential.
It is worth studying recurrence relation of multi-qubit states due to its benefits to the criterion and measurement of quantum entanglement. Recently, Huang et al. presented an expand recurrence relation of multi-qubit state. Using this expand recurrence relation and Brown state, we construct a new seven-qubit maximally entangled states of 32 and 3 balanced purities equal to 1/8 and 1/4, whose averaged subsystem purity is equal to 19/140. We found that the marginal density matrices for subsystems of 1 and 2 qubits all completely mixed in these states.