A quantum entanglement-based algorithm for discriminating non-orthogonal qubits
Distinguishing unknown non-orthogonal qubits is an essential requirement for addressing various challenges in quantum computation, including quantum machine learning, quantum communications, and quantum technologies. For instance, while quantum teleportation enables the transfer of unknown individua...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-01-01
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| Series: | Alexandria Engineering Journal |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016824012328 |
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| author | Mohammed Zidan Mohamed N. El-Qersh Mahmoud Abdel-Aty Montasir Qasymeh Hichem Eleuch |
| author_facet | Mohammed Zidan Mohamed N. El-Qersh Mahmoud Abdel-Aty Montasir Qasymeh Hichem Eleuch |
| author_sort | Mohammed Zidan |
| collection | DOAJ |
| description | Distinguishing unknown non-orthogonal qubits is an essential requirement for addressing various challenges in quantum computation, including quantum machine learning, quantum communications, and quantum technologies. For instance, while quantum teleportation enables the transfer of unknown individual qubits between distant parties, an algorithm is necessary to define the associated state of a teleported qubit at the receiving end. In this paper, we propose a novel quantum algorithm designed to effectively determine the state of a given unknown qubit and distinguish a subset of non-orthogonal qubits. The proposed algorithm can efficiently identify the state of an unknown qubit in the form cosθ2|0〉+sinθ2|1〉 using the Mz operator. By estimating the angle θ through the measurement of entanglement degree, the proposed algorithm can identify the state of an unknown qubit. Experimental validation of the proposed algorithm is conducted using the IBM quantum computer simulator chip ibmqx2. Furthermore, a t-test is conducted to compare the proposed algorithm with the direct measurement approach. The results indicate a significant difference between the two methods, demonstrating the superior performance of the proposed algorithm. |
| format | Article |
| id | doaj-art-f5522c15af314378a529050ca810c40d |
| institution | Kabale University |
| issn | 1110-0168 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj-art-f5522c15af314378a529050ca810c40d2025-01-29T05:00:06ZengElsevierAlexandria Engineering Journal1110-01682025-01-01112339348A quantum entanglement-based algorithm for discriminating non-orthogonal qubitsMohammed Zidan0Mohamed N. El-Qersh1Mahmoud Abdel-Aty2Montasir Qasymeh3Hichem Eleuch4Department of Artificial Intelligence, Faculty of Computers and Artificial Intelligence, Hurghada University, Egypt; Corresponding author.Mathematics Department, Faculty of Science and Humanities at Shaqra, Shaqra University, Saudi ArabiaDepartment of Mathematics and Computer Science, Faculty of Science, Sohag University, Sohag, 82524, EgyptElectrical and Computer Engineering Department, Abu Dhabi University, Abu Dhabi, United Arab EmiratesDepartment of Applied Physics and Astronomy, University of Sharjah, Sharjah, United Arab EmiratesDistinguishing unknown non-orthogonal qubits is an essential requirement for addressing various challenges in quantum computation, including quantum machine learning, quantum communications, and quantum technologies. For instance, while quantum teleportation enables the transfer of unknown individual qubits between distant parties, an algorithm is necessary to define the associated state of a teleported qubit at the receiving end. In this paper, we propose a novel quantum algorithm designed to effectively determine the state of a given unknown qubit and distinguish a subset of non-orthogonal qubits. The proposed algorithm can efficiently identify the state of an unknown qubit in the form cosθ2|0〉+sinθ2|1〉 using the Mz operator. By estimating the angle θ through the measurement of entanglement degree, the proposed algorithm can identify the state of an unknown qubit. Experimental validation of the proposed algorithm is conducted using the IBM quantum computer simulator chip ibmqx2. Furthermore, a t-test is conducted to compare the proposed algorithm with the direct measurement approach. The results indicate a significant difference between the two methods, demonstrating the superior performance of the proposed algorithm.http://www.sciencedirect.com/science/article/pii/S1110016824012328Concurrence measureEntanglementMz operatorQuantum computingQuantum algorithms |
| spellingShingle | Mohammed Zidan Mohamed N. El-Qersh Mahmoud Abdel-Aty Montasir Qasymeh Hichem Eleuch A quantum entanglement-based algorithm for discriminating non-orthogonal qubits Alexandria Engineering Journal Concurrence measure Entanglement Mz operator Quantum computing Quantum algorithms |
| title | A quantum entanglement-based algorithm for discriminating non-orthogonal qubits |
| title_full | A quantum entanglement-based algorithm for discriminating non-orthogonal qubits |
| title_fullStr | A quantum entanglement-based algorithm for discriminating non-orthogonal qubits |
| title_full_unstemmed | A quantum entanglement-based algorithm for discriminating non-orthogonal qubits |
| title_short | A quantum entanglement-based algorithm for discriminating non-orthogonal qubits |
| title_sort | quantum entanglement based algorithm for discriminating non orthogonal qubits |
| topic | Concurrence measure Entanglement Mz operator Quantum computing Quantum algorithms |
| url | http://www.sciencedirect.com/science/article/pii/S1110016824012328 |
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