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Performance comparison between classical and quantum control for a simple quantum system
Authors:Zairong Xi  Guangsheng Jin
Affiliation:a Key Laboratory of Systems and Control, Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100080, China
b Institute of Physics, Chinese Academy of Sciences, Beijing, 100080, China
Abstract:Brańczyk et al. pointed out that the quantum control scheme is superior to the classical control scheme for a simple quantum system using simulation [A.M. Brańczyk, P.E.M.F. Mendonca, A. Gilchrist, A.C. Doherty, S.D. Barlett, Quantum control theory of a single qubit, Physical Review A 75 (2007) 012329 or arXiv e-print quant-ph/0608037]. Here we rigorously prove the result. Furthermore we will show that any quantum operation does not universally “correct” the dephasing noise.
Keywords:Quantum control   Quantum information   Quantum channel   Quantum noise   Classical control
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