MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV ( that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint

Time Optimal Quantum Control of Two-qubit Systems

Bin Li, Zuhuan Yu, Shao-Ming Fei and Xianqing Li-Jost


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.

03.67.-a, 32.80.Qk

Related publications

2013 Repository Open Access
Bin Li, Zu-Huan Yu, Shao-Ming Fei and Xianqing Li-Jost

Time optimal quantum control of two-qubit systems

In: Science in China : physics, mechanics and astronomy, 56 (2013) 11, pp. 2116-2121