Time optimal quantum control of two-qubit systems  

作　　者：LI Bin YU ZuHuan FEI ShaoMing LI-JOST XianQing 

机构地区：[1]School of Mathematical Sciences,Capital Normal University [2]School of Mathematics and Statistics,Northeast Normal University [3]Max-Planck-Institute for Mathematics in the Sciences

出　　处：《Science China(Physics,Mechanics & Astronomy)》2013年第11期2116-2121,共6页中国科学：物理学、力学、天文学（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant No.11275131);the National Research Foundation for the Doctoral Program of Higher Education of China

摘　　要：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.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.

关 键 词：time optimal quantum control heteronuclear two-spin system local invariants 

分 类 号：O413[理学—理论物理]