{"title":"任意未知单粒子状态的受控循环辅助克隆","authors":"Nueraminaimu Maihemuti, Jiayin Peng, Yimamujiang Aisan, Jiangang Tang","doi":"10.1140/epjp/s13360-024-05698-8","DOIUrl":null,"url":null,"abstract":"<div><p>Making use of Hadamard-gate transformations and controlled-NOT transformations, we construct a seven-particle maximally entangled state, and obtain a <span>\\((2N+1)\\)</span>-particle (<span>\\(N>3\\)</span>) maximally entangled state through this construction method. Then, using this seven-particle entangled state to serve as quantum channel, we suggest a three-party cyclic protocol for cloning three different unknown single-particle states with help of the state preparer and the permission of the controller. The first phase of this protocol needs a controlled cyclic quantu teleportation (CCQT), where Alice transmits an arbitrary unknown single-particle state to Bob, Bob teleports an arbitrary unknown single-particle state to Charlie, meanwhile, Charlie also convey an arbitrary unknown single-particle state to Alice under the consent of the controller. In the second phase, after receiving the three-particle measurement result from the preparer, three different unknown single-qubit states or their orthogonal complement states are cloned simultaneously and probabilistically at the positions of Alice, Bob, and Charlie respectively. Subsequently, we will extend the above three-party cyclic protocol to the case of (2N + 1)-party loops by exploiting the (2N + 1)-particle maximally entangled state act as quantum channel. Additionally, taking the controlled three-party cyclic protocol through non-maximally entangled channel as an example, we analyze the assisted cloning protocol for arbitrary unknown single-particle states from three perspectives: projective measurement, positive operator-value measurement (POVM), and generalized Bell-state measurement. We also point out that by increasing the number of state preparers or controllers, the above schemes can be promoted to meet the needs of future versatile quantum networks.</p></div>","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":null,"pages":null},"PeriodicalIF":2.8000,"publicationDate":"2024-10-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Controlled cyclic assisted cloning of arbitrary unknown single-particle states\",\"authors\":\"Nueraminaimu Maihemuti, Jiayin Peng, Yimamujiang Aisan, Jiangang Tang\",\"doi\":\"10.1140/epjp/s13360-024-05698-8\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Making use of Hadamard-gate transformations and controlled-NOT transformations, we construct a seven-particle maximally entangled state, and obtain a <span>\\\\((2N+1)\\\\)</span>-particle (<span>\\\\(N>3\\\\)</span>) maximally entangled state through this construction method. Then, using this seven-particle entangled state to serve as quantum channel, we suggest a three-party cyclic protocol for cloning three different unknown single-particle states with help of the state preparer and the permission of the controller. The first phase of this protocol needs a controlled cyclic quantu teleportation (CCQT), where Alice transmits an arbitrary unknown single-particle state to Bob, Bob teleports an arbitrary unknown single-particle state to Charlie, meanwhile, Charlie also convey an arbitrary unknown single-particle state to Alice under the consent of the controller. In the second phase, after receiving the three-particle measurement result from the preparer, three different unknown single-qubit states or their orthogonal complement states are cloned simultaneously and probabilistically at the positions of Alice, Bob, and Charlie respectively. Subsequently, we will extend the above three-party cyclic protocol to the case of (2N + 1)-party loops by exploiting the (2N + 1)-particle maximally entangled state act as quantum channel. Additionally, taking the controlled three-party cyclic protocol through non-maximally entangled channel as an example, we analyze the assisted cloning protocol for arbitrary unknown single-particle states from three perspectives: projective measurement, positive operator-value measurement (POVM), and generalized Bell-state measurement. We also point out that by increasing the number of state preparers or controllers, the above schemes can be promoted to meet the needs of future versatile quantum networks.</p></div>\",\"PeriodicalId\":792,\"journal\":{\"name\":\"The European Physical Journal Plus\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":2.8000,\"publicationDate\":\"2024-10-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"The European Physical Journal Plus\",\"FirstCategoryId\":\"4\",\"ListUrlMain\":\"https://link.springer.com/article/10.1140/epjp/s13360-024-05698-8\",\"RegionNum\":3,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"The European Physical Journal Plus","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1140/epjp/s13360-024-05698-8","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
Controlled cyclic assisted cloning of arbitrary unknown single-particle states
Making use of Hadamard-gate transformations and controlled-NOT transformations, we construct a seven-particle maximally entangled state, and obtain a \((2N+1)\)-particle (\(N>3\)) maximally entangled state through this construction method. Then, using this seven-particle entangled state to serve as quantum channel, we suggest a three-party cyclic protocol for cloning three different unknown single-particle states with help of the state preparer and the permission of the controller. The first phase of this protocol needs a controlled cyclic quantu teleportation (CCQT), where Alice transmits an arbitrary unknown single-particle state to Bob, Bob teleports an arbitrary unknown single-particle state to Charlie, meanwhile, Charlie also convey an arbitrary unknown single-particle state to Alice under the consent of the controller. In the second phase, after receiving the three-particle measurement result from the preparer, three different unknown single-qubit states or their orthogonal complement states are cloned simultaneously and probabilistically at the positions of Alice, Bob, and Charlie respectively. Subsequently, we will extend the above three-party cyclic protocol to the case of (2N + 1)-party loops by exploiting the (2N + 1)-particle maximally entangled state act as quantum channel. Additionally, taking the controlled three-party cyclic protocol through non-maximally entangled channel as an example, we analyze the assisted cloning protocol for arbitrary unknown single-particle states from three perspectives: projective measurement, positive operator-value measurement (POVM), and generalized Bell-state measurement. We also point out that by increasing the number of state preparers or controllers, the above schemes can be promoted to meet the needs of future versatile quantum networks.
期刊介绍:
The aims of this peer-reviewed online journal are to distribute and archive all relevant material required to document, assess, validate and reconstruct in detail the body of knowledge in the physical and related sciences.
The scope of EPJ Plus encompasses a broad landscape of fields and disciplines in the physical and related sciences - such as covered by the topical EPJ journals and with the explicit addition of geophysics, astrophysics, general relativity and cosmology, mathematical and quantum physics, classical and fluid mechanics, accelerator and medical physics, as well as physics techniques applied to any other topics, including energy, environment and cultural heritage.