Quantum network coding without loss of information

Pan, Xing-Bo; Xu, Gang; Li, Zongpeng; Chen, Xiu-Bo; Yang, Yixian

doi:10.1007/s11128-020-02966-1

Cited by 16 publications

(11 citation statements)

References 46 publications

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“…In 2021, Pan et al. [30] proposed a novel quantum network coding scheme that achieved perfect transmission of quantum states without information loss. This breakthrough allowed for savings in both quantum and classical channel resources.…”

Section: Introductionmentioning

confidence: 99%

“…Fu et al [29] explored the nondestructive probabilistic teleportation which could restore the original state even if the teleportation failed. In 2021, Pan et al [30] proposed a novel quantum network coding scheme that achieved perfect transmission of quantum states without information loss. This breakthrough allowed for savings in both quantum and classical channel resources.…”

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confidence: 99%

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Research on information lossless teleportation via the W states

Wang

Wei

et al. 2023

IET Quantum Communication

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In this article, a protocol for information lossless teleportation using W states is proposed. Firstly, the information lossless teleportation of an unknown state with a maximally entangled W‐state channel, which protects the original unknown state information even in case of teleportation failure is investigated. Next, we generalise our scheme to non‐maximally entangled W‐state channels. Finally, the principle of the proposed scheme is validated by performing experiments on the quantum circuit simulator Quirk. Our study shows that W states can be used to teleport any quantum state without information loss through single‐qubit measurements and local unitary operations.

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Section: Introductionmentioning

confidence: 99%

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confidence: 99%

Research on information lossless teleportation via the W states

Wang

Wei

et al. 2023

IET Quantum Communication

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“…Nevertheless, the maximally entangled states are hard to maintain owing to the decoherence induced by the surrounding environment [ 29 ]. Thus, it is of great importance to investigate quantum communication via non-maximally entangled (NME) states [ 30 , 31 , 32 , 33 , 34 , 35 , 36 ]. Recently, based on NME four-particle cluster states, Xu et al [ 35 ] and Guo et al [ 36 ] respectively sketched new HQIS protocols to probabilistically realize the QSS of arbitrary unknown single-qubit state and two-qubit state via POVM.…”

Section: Introductionmentioning

confidence: 99%

Probabilistic Hierarchical Quantum Information Splitting of Arbitrary Multi-Qubit States

Tang

2022

Entropy

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By utilizing the non-maximally entangled four-qubit cluster states as the quantum channel, we first propose a hierarchical quantum information splitting scheme of arbitrary three-qubit states among three agents with a certain probability. Then we generalize the scheme to arbitrary multi-qubit states. Hierarchy is reflected on the different abilities of agents to restore the target state. The high-grade agent only needs the help of one low-grade agent, while the low-grade agent requires all the other agents’ assistance. The designated receiver performs positive operator-valued measurement (POVM) which is elaborately constructed with the aid of Hadamard matrix. It is worth mentioning that a general expression of recovery operation is derived to disclose the relationship with measurement outcomes. Moreover, the scheme is extended to multiple agents by means of the symmetry of cluster states.

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“…The method of network coding can be also applied to quantum networks, and quantum information processing on a quantum network that utilizes methods of network coding is called "a quantum network coding" [40]. There has been a considerable amount of research on quantum network coding, which tries to improve the throughput of a quantum network in various situations [41][42][43][44][45][46][47][48][49][50][51][52][53][54][55][56][57]. Recently, it has been presented that quantum network coding can improve the security of a quantum network [58][59][60][61] and reduce decoherence effect [62].…”

Section: Introductionmentioning

confidence: 99%

Asymmetric Quantum Multicast Network Coding: Asymmetric Optimal Cloning over Quantum Networks

Hirota

Owari

2022

Applied Sciences

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Multicasting of quantum states is an essential feature of quantum internet. Since the noncloning theorem prohibits perfect cloning of an unknown quantum state, an appropriate protocol may depend on the purpose of the multicast. In this paper, we treat the multicasting of a single copy of an unknown state over a quantum network with free classical communication. We especially focus on protocols exactly multicasting an asymmetric optimal universal clone. Hence, these protocols are optimal and universal in terms of mean fidelity between input and output states, but the fidelities can depend on target nodes. Among these protocols, a protocol spending smaller communication resources is preferable. Here, we construct such a protocol attaining the min-cut of the network described as follows. Two (three) asymmetric optimal clones of an input state are created at a source node. Then, the state is divided into classical information and a compressed quantum state. The state is sent to two (three) target nodes using the quantum network coding. Finally, the asymmetric clones are reconstructed using LOCC with a small amount of entanglement shared among the target nodes and the classical information sent from the source node.

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Quantum network coding without loss of information

Cited by 16 publications

References 46 publications

Research on information lossless teleportation via the W states

Research on information lossless teleportation via the W states

Probabilistic Hierarchical Quantum Information Splitting of Arbitrary Multi-Qubit States

Asymmetric Quantum Multicast Network Coding: Asymmetric Optimal Cloning over Quantum Networks

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