Controlled unknown quantum operations on hybrid systems  

作　　者：何勇 罗明星 

机构地区：[1]Department of Mathematics and Physics,Chongqing University of Science and Technology [2]Information Security and National Computing Grid Laboratory,Southwest Jiaotong University [3]Department of Physics,University of Michigan

出　　处：《Chinese Physics B》2016年第12期174-178,共5页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Grant Nos.61303039 and 61201253);Chunying Fellowship,and Fundamental Research Funds for the Central Universities,China(Grant No.2682014CX095)

摘　　要：Any unknown unitary operations conditioned on a control system can be deterministically performed if ancillary subspaces are available for the target systems [Zhou X Q, et al. 2011 Nat. Commun. 2 413]. In this paper, we show that previous optical schemes may be extended to general hybrid systems if unknown operations are provided by optical instruments. Moreover, a probabilistic scheme is proposed when the unknown operation may be performed on the subspaces of ancillary high-dimensional systems. Furthermore, the unknown operations conditioned on the multi-control system may be reduced to the case with a control system using additional linear circuit complexity. The new schemes may be more flexible for different systems or hybrid systems.Any unknown unitary operations conditioned on a control system can be deterministically performed if ancillary subspaces are available for the target systems [Zhou X Q, et al. 2011 Nat. Commun. 2 413]. In this paper, we show that previous optical schemes may be extended to general hybrid systems if unknown operations are provided by optical instruments. Moreover, a probabilistic scheme is proposed when the unknown operation may be performed on the subspaces of ancillary high-dimensional systems. Furthermore, the unknown operations conditioned on the multi-control system may be reduced to the case with a control system using additional linear circuit complexity. The new schemes may be more flexible for different systems or hybrid systems.

关 键 词：unknown unitary operations hybrid systems multi-control system circuit complexity 

分 类 号：O413[理学—理论物理]