Volume 16, Issue 3 (Journal of Control, V.16, N.3 Fall 2022)                   JoC 2022, 16(3): 25-34 | Back to browse issues page

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Azizpour T, Yarahmadi M. Designing a hybrid quantum controller for strongly eigenstate controllable systems. JoC 2022; 16 (3) :25-34
URL: http://joc.kntu.ac.ir/article-1-896-en.html
1- Lorestan University
Abstract:   (1298 Views)
 In this paper, a new quantum hybrid controller for controlling the strongly eigenstate controllable systems, is designed. For this purpose, a Lyapunov control law is implemented when the target state is in reachable set of the initial state. On the other hand, if the target state is not in the reachable set of the given initial state, based on Grover algorithm, a new interface state that the target state is in its reachable set,  will be found  and the given initial state is transferred to the new interface state. Then, the new interface state is transferred to the target state, based on a designed Lyapunov control law.  A new algorithm, for implementing the presented method, is designed. Finally, a simulated example illustrates the applications and advantages of presented method.
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Type of Article: Research paper | Subject: Special
Received: 2021/09/2 | Accepted: 2022/06/18 | ePublished ahead of print: 2022/07/2

References
1. [1] C. G. Almudever, N. Khammassi, L. Hutin, M. Vinet, M. Babaie, F. Sebastiano, E. Charbon, K. Bertels, "Towards a scalable quantum computer", 13th International Conference on Design & Technology of Integrated Systems In Nanoscale Era (DTIS), 1-1, 2018. [DOI:10.1109/DTIS.2018.8368579]
2. [2] K. Kumar, N. A Sharma, R. Prasad, A. Deo, T. Khorshed, "A survey on quantum computing with main focus on the methods of implementation and commercialization gaps", IEEE, pp. 1-7, 2015. [DOI:10.1109/APWCCSE.2015.7476130]
3. [3] S. Chegini, M. Yarahmadi, "Design of an adaptive sliding mode controller based on quantum neural network", Modars Mechanical Engineering, vol.17, no. 1, pp. 305- 310, 2017.
4. ]4[ آ. ارجمندزاده، م. یاراحمدی، "طراحی یک کنترل‌کننده ژنتیکی کوانتومی در ردیابی مسیر سیستم‌های کوانتومی"، مجله کنترل، جلد14، شماره1، ص‌ص 65-71، 1399.
5. ]5[ ح. رستمی ،ب. رضایی، "کنترل حالت سیستم کوانتومی با استفاده از کنترل‌کننده‌ي فازي"، مجله مهندسی مکانیک مدرس، دوره 16، شماره 9، ص‌ص 124-134، 1395.
6. [6] C. P. Koch, "Controlling open quantum systems‎: ‎Tools‎, ‎achievements‎, ‎and limitations", Journal of Physics Condensed Matter, vol.28, n.21, 2016. [DOI:10.1088/0953-8984/28/21/213001]
7. [7] K. Sugisaki, S. Nakazawa, K. Toyota, K. Sato, D. Shiomi, T. Takui, "Quantum chemistry on quantum computers: quantum simulations of the time evolution of wave functions under the S2 operator and determination of the spin quantum number S", Physical Chemistry Chemical Physics, 2019 doi: 10.1039/ c9cp02546d. [DOI:10.1039/C9CP02546D]
8. [8] G. M. Huang, T.J. Tarn, J.W. ‎Clark, "On the controllability of quantum‎ mechanical systems", ‎Journal of Mathematical Physic, vol. ‎24, Issue11, 1983. [DOI:10.1063/1.525634]
9. [9] S‎. ‎G. Schirmer‎, H. Fu‎, A.I Solomon," Complete controllability of finite level‎ quantum systems", ‎Journal of Physics A‎: ‎Mathematical and General‎, ‎ vol.34‎, ‎no‎. ‎8, ‎pp.1-14, 2001. [DOI:10.1088/0305-4470/34/8/313]
10. [10] G. Turinici, H. Rabitz, 2001," Quantum wave function controllability", ‎Chemical‎ Physics ‎vol. 267‎, ‎Issues 1-3, pp. 1-9, 2001. [DOI:10.1016/S0301-0104(01)00216-6]
11. ‎[11] S. Grivopoulos, B. ‎Bamieh, "Lyapunov-based control of quantum systems", ‎in Proc‎. ‎42nd IEEE Conf‎. ‎Decision and Control‎, ‎Hawaii, vol.1, pp.434- 438, 2003.
12. [12] S. Kuang‎, ‎S. ‎Cong," Lyapunov control methods of closed quantum systems", Automatica, ‎vol. 44, pp. 98-108, 2008. [DOI:10.1016/j.automatica.2007.05.013]
13. [13] W. Yang, J. Sun, "Lyapunov Control of Quantum Systems with Impulsive Control Fields", The Scientific World Journal, 1-7, 2013, doi:10.1155/2013/814080. [DOI:10.1155/2013/814080]
14. [14] C. Shuang, S. KUANG, "Quantum Control Strategy Based on State Distance", ACTA AUTOMATICA SINICA, vol.33, no.1, 2007, doi: 10.1360/aas-007-0028. [DOI:10.1360/aas-007-0028]
15. [15] S.C. Hou, M.A. Khan, X. X. Yi, D. Dong, R. Petersen Ian, "Optimal Lyapunov-based quantum control for quantum systems", Physical Review A, vol.86, 2012. [DOI:10.1103/PhysRevA.86.022321]
16. ]16[ ز. صاحبی ، م. یاراحمدی، "طراحی کنترل‌کننده‌ی ترکیبی تطبیقی هوشمند با استفاده از شبکه‌های عصبی موجکی کوانتومی برای ردیابی مسیر سیستم‌های کوانتومی بسته‌ی متناهی"، مجله مهندسی مکانیک مدرس، دوره 18، شماره 02، ص‌ص 188-179، 1397.
17. [17] R. Orus, S. Mugel, E. Lizaso, "Quantum computing for finance: ‎Overview and prospects", ‎Reviews in Physics‎, vol. ‎4, 2019, doi: 10.1016/j.revip.2019.100028. [DOI:10.1016/j.revip.2019.100028]
18. [18] S. Imre, F. Balaz, "Quantum computing and communications"‎, ‎An Engineering‎ Approach Wiley. ‎Chichester, 2005.
19. [19] P.Beniof, ‎"The computer as a physical system a microscopic Quantum Mechanical Hamiltonian model of computers as‎ represented by Turing machines", ‎Journal of Statistical Physics , vol.‎22, pp.563- 591, 1980. [DOI:10.1007/BF01011339]
20. [20] D. Deutsch‎, "‎the Church-Turing principle and the universal quantum computer", ‎Proceedings of the Royal Society A‎, 400, 1818, pp.‎97- 117, 1985. [DOI:10.1098/rspa.1985.0070]
21. [21] P. Feynman Richard, "Simulating physics with computers", ‎International Journal of Theoretical Physics, vol.‎21, pp. ‎467- 488, 1982. [DOI:10.1007/BF02650179]
22. [22] Y. Manin‎, "Computable and Non computable", ‎Sov. Radio, 13- 15, 1980.
23. [23] P. W. Shor, "‎Algorithms for quantum computation‎: ‎discrete logarithms and‎ factoring‎", ‎ Proceedings 35th Annual Symposium on Foundations of Computer Science Press, pp.124- 134, 1994, doi:10.1109/sfcs.1994.365700. [DOI:10.1109/SFCS.1994.365700]
24. [24] G. Bassard‎, "Searching a quantum phone book", ‎Science‎, vol. ‎275‎, ‎Issue 5300, pp.627- 628, 1997. [DOI:10.1126/science.275.5300.627]
25. [25] D. Dao- Yi, C. Chun- Lin, C. Zong- Hai, Z. Chen, "Quantum Mechanics Helps in Learning for More Intelligent Robots", Chinese Physics Letters, vol.23, n. 7, pp. 1691-1694, 2006, doi:10.1088/0256-307x/23/7/010. [DOI:10.1088/0256-307X/23/7/010]
26. [26] Grover ‎L. K, 1996," A fast quantum mechanical algorithm for database search", ‎Proceedings‎, 28th Annual ACM Symposium on the Theory of Computing, pp.212-219, 2006. [DOI:10.1145/237814.237866]
27. [27] J. S. Lomonaco‎, "‎Grover's quantum search algorithm‎", ‎Proceedings of Symposia‎ in Applied Mathematics, pp.1- 12, 2000.
28. [28] C. B. Zhang, D.Y. Dong, Z. H. Chen, "Control of non-controllable quantum systems: a quantum control algorithm based on Grover iteration", Journal of Optics B: Quantum and Semiclassical Optics, vol. 7, n.10, pp. 313- 317, 2005. [DOI:10.1088/1464-4266/7/10/015]
29. [29] E. Strubell, "An Introduction to Quantum Algorithms", COS498 - Chawathe Spring, 2011. [DOI:10.1057/9780230302426_1]
30. [30] K.V, Gubaidullina, S.A. Chivilikhin, "Stability of Grover's algorithm in respect to perturbations in quantum circuit", Nanosystems: Physics, Chemistry, Mathematics, vol.8, n. 2, pp. 243-246, 2017. [DOI:10.17586/2220-8054-2017-8-2-243-246]

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