Abstract
A quantum algorithm which allows one to simulate the quantum open-loop control systems is presented. We study the model of steering a spin 1/2 particle via externally electromagnetic fields in detail. Simulation results obtained from the quantum circuit confirm the validity of our approach.
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References
Feynman, R.P.: Quantum Mechanical Computers. Foundations of Physics 16, 507–531 (1986)
Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2000)
Schack, R.: Using a Quantum Computer to Investigate Quantum Chaos. Physical Review A. 57, 1634–1635 (1998)
Levi, B., Georgeot, B., Shepelyansky, D.L.: Quantum Computing of Quantum Chaos in the Kicked Rotator Model. Physical Review E. 67, 46220–46229 (2003)
Frahm, K.M., Fleckinger, R., Shepelyansky, D.L.: Quantum Chaos and Random Matrix Theory for Fidelity Decay in Quantum Computations with Static Imperfections. The European Physical Journal D. 29, 139–155 (2004)
Doherty, A.C., Habib, S., Jacobs, K., Mabuchi, H., Tan, S.M.: Quantum Feedback Control and Classical Control Theory. Physical Review A. 62, 12105–12117 (2000)
Ramakrishna, V., Flores, K.L.: Quantum Control by Decompositions of SU(2). Physical Review A. 62, 53409–53419 (2000)
D’Alessandro, D., Dahleh, M.: Optimal Control of Two-Level Quantum System. IEEE Transactions on Automatic Control 46, 866–876 (2001)
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© 2006 Springer-Verlag Berlin Heidelberg
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Ye, B., Xu, WB. (2006). Simulation of Quantum Open-Loop Control Systems on a Quantum Computer. In: Jiao, L., Wang, L., Gao, X., Liu, J., Wu, F. (eds) Advances in Natural Computation. ICNC 2006. Lecture Notes in Computer Science, vol 4222. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11881223_6
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DOI: https://doi.org/10.1007/11881223_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-45907-1
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