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

arXiv:quant-ph/0412042

Four-level quantum teleportation, swapping and collective translations of multipartite quantum entanglement

Zai-Zhe Zhong

Published Dec 6, 2004• 0 citations
arXivHTMLPDF

Abstract

In this paper, an optimal scheme of four-level quantum teleportation and swapping of quantum entanglement is given. We construct a complete orthogonal basis of the bipartite ququadrit systems. Using this basis, the four-level quantum teleportation and swapping can be achieved according to the standard steps. In addition, associate the above bases with the unextendible product bases and the exact entanglement bases, we prove that in the $2\times 2\times 2$ systems or $3\times 3$ systems the collective translations of multipartite quantum entanglement can be realized. PACC numbers: 03.67.Mn, 03.65.Ud, 03.67.Hk. Keywords: Ququadrit systems, Bases, Four-level teleportation, Swapping, Collective translations.

DOI
10.48550/arxiv.quant-ph/0412042

Related papers

Teleportation of Two-Partite Arbitrary States Via Genuine Four-Partite Entangled States

Xinwen Wang

A scheme for teleportation of two-partite arbitrary states via genuine four-partite entangled states is proposed.In the scheme,16 orthogonal and complete bases are constructed.All the bases are genuine four-partite entangled states,none of which is reducible.The scheme reveals some particular properties of the related four-partite entangled state,and indicates that in some sense the amount of entanglement of two Bell states can be abstracted from any one of the four-partite states.

Journal of Jishou University•Jan 1, 2007•0 citations

Teleportation of Multiparticle Entangled States

Suman Kumari

This paper investigates the theoretical basis and actual methods for teleporting entangled states using multiple particles. Beginning with Bennett et al.'s pioneering work in 1993, which established the notion of quantum teleportation. In this paper, I will discuss the quantum teleportation, quantum entanglement, Entanglement schemes such as Entanglement swapping scheme and will find out the rate of successful teleportation in terms of fidelity. Additionally discussed is minimal assured fidelity, which is the lowest level of fidelity for any unknown quantum information about the states[1]. Additionally, the success rate of teleporting a superposition of odd and even coherent states is demonstrated to be able to be raised from 50% to almost 99%[2]. We discover that by just isolating the vacuum state from the even state, it can virtually transport, divert, and exchange. Key Words: Entanglement, Quantum teleportation, Entanglement swapping scheme, Bell state measurement (BSM), Quantum information.

INTERANTIONAL JOURNAL OF SCIENTIFIC RESEARCH IN ENGINEERING AND MANAGEMENT•Jun 6, 2024•0 citations

Multi-hop quantum teleportation of an arbitrary two-qubit state based on hierarchical simultaneous entanglement swapping

Fan Wu, Ming-Qiang Bai, Liang Bao Tang +1 more

Abstract Combined with hierarchy simultaneous entanglement swapping, the scheme of the multi-hop quantum teleportation (QT) is proposed by using multi-pair Bell states. The scheme consists of two levels based on simultaneous entanglement swapping, namely Level-1 and Level-2. The former realizes simultaneous entanglement swapping of the inner segment, while the latter completes simultaneous entanglement swapping of the inter segment. Besides, the effect of four different types of noise (phase-damping, amplitude-damping, phase-flip, and bit-flip noise) on our scheme is analyzed by calculating the fidelity and concurrence. The results indicate that the fidelity and concurrence are related to the amplitude parameter, decoherence rate and number of nodes. Furthermore, compared with the scheme of the multi-hop QT adopting simultaneous entanglement swapping, our scheme can greatly reduce classical communication cost, and shows that the optimal classical communication cost can be obtained by selecting different segmentation methods.

Journal of Physics A Mathematical and Theoretical•Feb 6, 2023•8 citations

Probabilistic teleportation of four particles W state

Zha Xin-wei

A scheme for teleportation of four-particle W state via two pairs of non-maximally two-particle entangled state is given.The sender only need to carry out one orthogonal complete measurement base, then the sender inform the measurement results to the receiver by classical channel,and the receiver introduce auxiliary particle F,and carry out a Von Neumann measurement after giving a proper unitary transformation.The receiver introduce another two auxiliary particle B_3B_4,and carry out the proper unitary transformation on his own particles.As a result,the teleportation of four particle entanglement can be realized with a certain probability.In this scheme,the sender only carry out one orthogonal complete measurement base,and if the quantum channel is in maximum entanglement,this scheme can realize complete transmission.

Chinese Journal of Quantum Electronics•Jan 1, 2010•1 citation

Strong quantum nonlocality for unextendible product bases in heterogeneous systems

Fei Shi, Mao-Sheng Li, Lin Chen +1 more

Abstract A set of multipartite orthogonal product states is strongly nonlocal if it is locally irreducible in every bipartition, which shows the phenomenon of strong quantum nonlocality without entanglement. It is known that unextendible product bases (UPBs) can show the phenomenon of quantum nonlocality without entanglement. Thus it is interesting to investigate the strong quantum nonlocality for UPBs. Most of the UPBs with the minimum size cannot demonstrate strong quantum nonlocality. In this paper, we construct a series of UPBs with different large sizes in d A ⊗ d B ⊗ d C and d A ⊗ d B ⊗ d C ⊗ d D for d A , d B , d C , d D ⩾ 3, and we also show that these UPBs have strong quantum nonlocality, which answers an open question given by Halder et al (2019 Phys. Rev. Lett. 122 040403) and Yuan et al (2020 Phys. Rev. A 102 042228) for any possible three and four-partite systems. Furthermore, we propose an entanglement-assisted protocol to locally discriminate the UPB in 3 ⊗ 3 ⊗ 4, and it consumes less entanglement resource than the teleportation-based protocol. Our results build the connection between strong quantum nonlocality and UPBs.

arXiv:2201.00085•Journal of Physics A Mathematical and Theoretical•Nov 22, 2021•27 citations

Multipartite entanglement for entanglement teleportation

Jinhyoung Lee, Hyegeun Min, Sung Dahm Oh

A scheme for entanglement teleportation is proposed to incorporate multipartite entanglement of four qubits as a quantum channel. Based on the invariance of entanglement teleportation under an arbitrary two-qubit unitary transformation, we derive relations for the separabilities of joint measurements at a sending station and of unitary operations at a receiving station. From the relations of the separabilities it is found that an inseparable quantum channel always leads to total teleportation of entanglement with an inseparable joint measurement and/or a nonlocal unitary operation.

arXiv:quant-ph/0201069•Physical Review A•Nov 22, 2002•145 citations
In this paper, an optimal scheme of four-level quantum teleportation and swapping of quantum entanglement is given. We construct a complete orthogonal basis of the bipartite ququadrit systems. Using this basis, the four-level quantum teleportation and swapping can be achieved according to the standard steps. In addition, associate the above bases with the unextendible product bases and the exact entanglement bases, we prove that in the 2×2×22\times 2\times 22×2×2 systems or 3×33\times 33×3 systems the collective translations of multipartite quantum entanglement can be realized. PACC numbers: 03.67.Mn, 03.65.Ud, 03.67.Hk. Keywords: Ququadrit systems, Bases, Four-level teleportation, Swapping, Collective translations.
This paper investigates the theoretical basis and actual methods for teleporting entangled states using multiple particles. Beginning with Bennett et al.'s pioneering work in 1993, which established the notion of quantum teleportation. In this paper, I will discuss the quantum teleportation, quantum entanglement, Entanglement schemes such as Entanglement swapping scheme and will find out the rate of successful teleportation in terms of fidelity. Additionally discussed is minimal assured fidelity, which is the lowest level of fidelity for any unknown quantum information about the states[1]. Additionally, the success rate of teleporting a superposition of odd and even coherent states is demonstrated to be able to be raised from 50% to almost 99%[2]. We discover that by just isolating the vacuum state from the even state, it can virtually transport, divert, and exchange. Key Words: Entanglement, Quantum teleportation, Entanglement swapping scheme, Bell state measurement (BSM), Quantum information.
Abstract Combined with hierarchy simultaneous entanglement swapping, the scheme of the multi-hop quantum teleportation (QT) is proposed by using multi-pair Bell states. The scheme consists of two levels based on simultaneous entanglement swapping, namely Level-1 and Level-2. The former realizes simultaneous entanglement swapping of the inner segment, while the latter completes simultaneous entanglement swapping of the inter segment. Besides, the effect of four different types of noise (phase-damping, amplitude-damping, phase-flip, and bit-flip noise) on our scheme is analyzed by calculating the fidelity and concurrence. The results indicate that the fidelity and concurrence are related to the amplitude parameter, decoherence rate and number of nodes. Furthermore, compared with the scheme of the multi-hop QT adopting simultaneous entanglement swapping, our scheme can greatly reduce classical communication cost, and shows that the optimal classical communication cost can be obtained by selecting different segmentation methods.
A scheme for teleportation of four-particle W state via two pairs of non-maximally two-particle entangled state is given.The sender only need to carry out one orthogonal complete measurement base, then the sender inform the measurement results to the receiver by classical channel,and the receiver introduce auxiliary particle F,and carry out a Von Neumann measurement after giving a proper unitary transformation.The receiver introduce another two auxiliary particle B_3B_4,and carry out the proper unitary transformation on his own particles.As a result,the teleportation of four particle entanglement can be realized with a certain probability.In this scheme,the sender only carry out one orthogonal complete measurement base,and if the quantum channel is in maximum entanglement,this scheme can realize complete transmission.
Abstract A set of multipartite orthogonal product states is strongly nonlocal if it is locally irreducible in every bipartition, which shows the phenomenon of strong quantum nonlocality without entanglement. It is known that unextendible product bases (UPBs) can show the phenomenon of quantum nonlocality without entanglement. Thus it is interesting to investigate the strong quantum nonlocality for UPBs. Most of the UPBs with the minimum size cannot demonstrate strong quantum nonlocality. In this paper, we construct a series of UPBs with different large sizes in d A ⊗ d B ⊗ d C and d A ⊗ d B ⊗ d C ⊗ d D for d A , d B , d C , d D ⩾ 3, and we also show that these UPBs have strong quantum nonlocality, which answers an open question given by Halder et al (2019 Phys. Rev. Lett. 122 040403) and Yuan et al (2020 Phys. Rev. A 102 042228) for any possible three and four-partite systems. Furthermore, we propose an entanglement-assisted protocol to locally discriminate the UPB in 3 ⊗ 3 ⊗ 4, and it consumes less entanglement resource than the teleportation-based protocol. Our results build the connection between strong quantum nonlocality and UPBs.
A scheme for entanglement teleportation is proposed to incorporate multipartite entanglement of four qubits as a quantum channel. Based on the invariance of entanglement teleportation under an arbitrary two-qubit unitary transformation, we derive relations for the separabilities of joint measurements at a sending station and of unitary operations at a receiving station. From the relations of the separabilities it is found that an inseparable quantum channel always leads to total teleportation of entanglement with an inseparable joint measurement and/or a nonlocal unitary operation.