中国物理B ›› 2016, Vol. 25 ›› Issue (12): 120304-120304.doi: 10.1088/1674-1056/25/12/120304

• GENERAL • 上一篇    下一篇

Controlled unknown quantum operations on hybrid systems

Yong He(何勇), Ming-Xing Luo(罗明星)   

  1. 1. Department of Mathematics and Physics, Chongqing University of Science and Technology, Chongqing 401331, China;
    2. Information Security and National Computing Grid Laboratory, Southwest Jiaotong University, Chengdu 610031, China;
    3. Department of Physics, University of Michigan, Ann Arbor, MI 48109, USA
  • 收稿日期:2016-06-13 修回日期:2016-07-24 出版日期:2016-12-05 发布日期:2016-12-05
  • 通讯作者: Yong He E-mail:heyongmath@163.com
  • 基金资助:

    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).

Controlled unknown quantum operations on hybrid systems

Yong He(何勇)1, Ming-Xing Luo(罗明星)2,3   

  1. 1. Department of Mathematics and Physics, Chongqing University of Science and Technology, Chongqing 401331, China;
    2. Information Security and National Computing Grid Laboratory, Southwest Jiaotong University, Chengdu 610031, China;
    3. Department of Physics, University of Michigan, Ann Arbor, MI 48109, USA
  • Received:2016-06-13 Revised:2016-07-24 Online:2016-12-05 Published:2016-12-05
  • Contact: Yong He E-mail:heyongmath@163.com
  • Supported by:

    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.

关键词: unknown unitary operations, hybrid systems, multi-control system, circuit complexity

Abstract:

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.

Key words: unknown unitary operations, hybrid systems, multi-control system, circuit complexity

中图分类号:  (Quantum computation architectures and implementations)

  • 03.67.Lx
03.67.Pp (Quantum error correction and other methods for protection against decoherence) 03.67.Ac (Quantum algorithms, protocols, and simulations)