{"title":"State transfer on the multi-access channel network","authors":"Xia Yan, Mingxing Luo, Songya Ma","doi":"10.1007/s11128-024-04380-3","DOIUrl":null,"url":null,"abstract":"<p>As a new functional network supporting communication, quantum network can provide higher security and lower complexity for quantum information processing. Based on the one-to-one quantum state merging and quantum state redistribution, we first generalize them to the multi-to-one situation and give the optimal cost pair for merging or redistributing quantum states from each sender to the receiver in turn. It is proved that previously received information can reduce the cost of the next transfer. Then, using the method of fusion, we propose a state transfer protocol over the multi-access channel network with one intermediate node and provide its optimal cost pair. Finally, two specific examples are given to demonstrate our results when a GHZ-like state or a Werner-type state is taken as the shared entanglement resource.</p>","PeriodicalId":746,"journal":{"name":"Quantum Information Processing","volume":null,"pages":null},"PeriodicalIF":2.2000,"publicationDate":"2024-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Quantum Information Processing","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1007/s11128-024-04380-3","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"PHYSICS, MATHEMATICAL","Score":null,"Total":0}
引用次数: 0
Abstract
As a new functional network supporting communication, quantum network can provide higher security and lower complexity for quantum information processing. Based on the one-to-one quantum state merging and quantum state redistribution, we first generalize them to the multi-to-one situation and give the optimal cost pair for merging or redistributing quantum states from each sender to the receiver in turn. It is proved that previously received information can reduce the cost of the next transfer. Then, using the method of fusion, we propose a state transfer protocol over the multi-access channel network with one intermediate node and provide its optimal cost pair. Finally, two specific examples are given to demonstrate our results when a GHZ-like state or a Werner-type state is taken as the shared entanglement resource.
作为一种支持通信的新型功能网络，量子网络可以为量子信息处理提供更高的安全性和更低的复杂性。在一对一量子态合并和量子态再分配的基础上，我们首先将其推广到多对一的情况，并给出了每个发送方依次向接收方合并或再分配量子态的最优成本对。事实证明，之前接收到的信息可以降低下一次传输的成本。然后，利用融合的方法，我们提出了一种在多接入信道网络上只有一个中间节点的状态传输协议，并提供了其最优成本对。最后，我们给出了两个具体的例子来证明我们在以类似 GHZ 的状态或 Werner 类型的状态作为共享纠缠资源时取得的成果。
期刊介绍：
Quantum Information Processing is a high-impact, international journal publishing cutting-edge experimental and theoretical research in all areas of Quantum Information Science. Topics of interest include quantum cryptography and communications, entanglement and discord, quantum algorithms, quantum error correction and fault tolerance, quantum computer science, quantum imaging and sensing, and experimental platforms for quantum information. Quantum Information Processing supports and inspires research by providing a comprehensive peer review process, and broadcasting high quality results in a range of formats. These include original papers, letters, broadly focused perspectives, comprehensive review articles, book reviews, and special topical issues. The journal is particularly interested in papers detailing and demonstrating quantum information protocols for cryptography, communications, computation, and sensing.
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