Time Optimal Quantum Control of Two-qubit Systems
Bin Li, Zuhuan Yu, Shao-Ming Fei, and Xianqing Li-Jost
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Submission date: 14. Aug. 2013
published in: Science in China : physics, mechanics and astronomy, 56 (2013) 11, p. 2116-2121
DOI number (of the published article): 10.1007/s11433-013-5325-9
PACS-Numbers: 03.67.-a, 32.80.Qk
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We study the optimal quantum control of heteronuclear two-qubit systems described by a Hamiltonian containing both nonlocal internal drift and local control terms. We derive an explicit formula to compute the minimum time required to steer the system from an initial state to a specified final state. As applications the minimal time to implement Controlled-NOT gate, SWAP gate and Controlled-U gate is calculated in detail. The experimental realizations of these quantum gates are explicitly presented.