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Time optimal quantum control of two-qubit systems |
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| Authors: | Bin Li ZuHuan Yu ShaoMing Fei XianQing Li-Jost |
| Affiliation: | 1. School of Mathematical Sciences, Capital Normal University, Beijing, 100048, China 2. School of Mathematics and Statistics, Northeast Normal University, Changchun, 130024, China 3. Max-Planck-Institute for Mathematics in the Sciences, Leipzig, 04103, Germany |
| Abstract: | 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. |
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