Controlled Double-Direction Cyclic Quantum Communication of Arbitrary Two-Particle States
With the rapid development of quantum communication technologies, controlled double-direction cyclic (CDDC) quantum communication has become an important research direction. However, how to choose an appropriate quantum state as a channel to achieve double-direction cyclic (DDC) quantum communicatio...
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2025-03-01
|
| Series: | Entropy |
| Subjects: | |
| Online Access: | https://www.mdpi.com/1099-4300/27/3/292 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850090858923163648 |
|---|---|
| author | Nueraminaimu Maihemuti Zhanheng Chen Jiayin Peng Yimamujiang Aisan Jiangang Tang |
| author_facet | Nueraminaimu Maihemuti Zhanheng Chen Jiayin Peng Yimamujiang Aisan Jiangang Tang |
| author_sort | Nueraminaimu Maihemuti |
| collection | DOAJ |
| description | With the rapid development of quantum communication technologies, controlled double-direction cyclic (CDDC) quantum communication has become an important research direction. However, how to choose an appropriate quantum state as a channel to achieve double-direction cyclic (DDC) quantum communication for multi-particle entangled states remains an unresolved challenge. This study aims to address this issue by constructing a suitable quantum channel and investigating the DDC quantum communication of two-particle states. Initially, we create a 25-particle entangled state using Hadamard and controlled-NOT (CNOT) gates, and provide its corresponding quantum circuit implementation. Based on this entangled state as a quantum channel, we propose two new four-party CDDC schemes, applied to quantum teleportation (QT) and remote state preparation (RSP), respectively. In both schemes, each communicating party can synchronously transmit two different arbitrary two-particle states to the other parties under supervisory control, achieving controlled quantum cyclic communication in both clockwise and counterclockwise directions. Additionally, the presented two schemes of four-party CDDC quantum communication are extended to situations where <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>n</mi><mo>></mo><mn>3</mn></mrow></semantics></math></inline-formula> communicating parties. In each proposed scheme, we provide universal analytical formulas for the local operations of the sender, supervisor, and receiver, demonstrating that the success probability of each scheme can reach 100%. These schemes only require specific two-particle projective measurements, single-particle von Neumann measurements, and Pauli gate operations, all of which can be implemented with current technologies. We have also evaluated the inherent efficiency, security, and control capabilities of the proposed schemes. In comparison to earlier methods, the results demonstrate that our schemes perform exceptionally well. This study provides a theoretical foundation for bidirectional controlled quantum communication of multi-particle states, aiming to enhance security and capacity while meeting the diverse needs of future network scenarios. |
| format | Article |
| id | doaj-art-afdb08626ed24b34a2507f61b3fe7cfd |
| institution | DOAJ |
| issn | 1099-4300 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj-art-afdb08626ed24b34a2507f61b3fe7cfd2025-08-20T02:42:29ZengMDPI AGEntropy1099-43002025-03-0127329210.3390/e27030292Controlled Double-Direction Cyclic Quantum Communication of Arbitrary Two-Particle StatesNueraminaimu Maihemuti0Zhanheng Chen1Jiayin Peng2Yimamujiang Aisan3Jiangang Tang4School of Mathematics and Statistics, Kashi University, Kashi 844000, ChinaThe School of Mathematics and Statistics, Yili Normal University, Yili 835000, ChinaSchool of Mathematics and Statistics, Kashi University, Kashi 844000, ChinaSchool of Mathematics and Statistics, Kashi University, Kashi 844000, ChinaSchool of Mathematics and Statistics, Kashi University, Kashi 844000, ChinaWith the rapid development of quantum communication technologies, controlled double-direction cyclic (CDDC) quantum communication has become an important research direction. However, how to choose an appropriate quantum state as a channel to achieve double-direction cyclic (DDC) quantum communication for multi-particle entangled states remains an unresolved challenge. This study aims to address this issue by constructing a suitable quantum channel and investigating the DDC quantum communication of two-particle states. Initially, we create a 25-particle entangled state using Hadamard and controlled-NOT (CNOT) gates, and provide its corresponding quantum circuit implementation. Based on this entangled state as a quantum channel, we propose two new four-party CDDC schemes, applied to quantum teleportation (QT) and remote state preparation (RSP), respectively. In both schemes, each communicating party can synchronously transmit two different arbitrary two-particle states to the other parties under supervisory control, achieving controlled quantum cyclic communication in both clockwise and counterclockwise directions. Additionally, the presented two schemes of four-party CDDC quantum communication are extended to situations where <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>n</mi><mo>></mo><mn>3</mn></mrow></semantics></math></inline-formula> communicating parties. In each proposed scheme, we provide universal analytical formulas for the local operations of the sender, supervisor, and receiver, demonstrating that the success probability of each scheme can reach 100%. These schemes only require specific two-particle projective measurements, single-particle von Neumann measurements, and Pauli gate operations, all of which can be implemented with current technologies. We have also evaluated the inherent efficiency, security, and control capabilities of the proposed schemes. In comparison to earlier methods, the results demonstrate that our schemes perform exceptionally well. This study provides a theoretical foundation for bidirectional controlled quantum communication of multi-particle states, aiming to enhance security and capacity while meeting the diverse needs of future network scenarios.https://www.mdpi.com/1099-4300/27/3/292CDDCcontrolled cyclic QTcontrolled cyclic RSP25-particle entangled state |
| spellingShingle | Nueraminaimu Maihemuti Zhanheng Chen Jiayin Peng Yimamujiang Aisan Jiangang Tang Controlled Double-Direction Cyclic Quantum Communication of Arbitrary Two-Particle States Entropy CDDC controlled cyclic QT controlled cyclic RSP 25-particle entangled state |
| title | Controlled Double-Direction Cyclic Quantum Communication of Arbitrary Two-Particle States |
| title_full | Controlled Double-Direction Cyclic Quantum Communication of Arbitrary Two-Particle States |
| title_fullStr | Controlled Double-Direction Cyclic Quantum Communication of Arbitrary Two-Particle States |
| title_full_unstemmed | Controlled Double-Direction Cyclic Quantum Communication of Arbitrary Two-Particle States |
| title_short | Controlled Double-Direction Cyclic Quantum Communication of Arbitrary Two-Particle States |
| title_sort | controlled double direction cyclic quantum communication of arbitrary two particle states |
| topic | CDDC controlled cyclic QT controlled cyclic RSP 25-particle entangled state |
| url | https://www.mdpi.com/1099-4300/27/3/292 |
| work_keys_str_mv | AT nueraminaimumaihemuti controlleddoubledirectioncyclicquantumcommunicationofarbitrarytwoparticlestates AT zhanhengchen controlleddoubledirectioncyclicquantumcommunicationofarbitrarytwoparticlestates AT jiayinpeng controlleddoubledirectioncyclicquantumcommunicationofarbitrarytwoparticlestates AT yimamujiangaisan controlleddoubledirectioncyclicquantumcommunicationofarbitrarytwoparticlestates AT jiangangtang controlleddoubledirectioncyclicquantumcommunicationofarbitrarytwoparticlestates |