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Controlled unknown quantum operations on hybrid systems |
| Yong He(何勇)1, Ming-Xing Luo(罗明星)2,3 |
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 |
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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.
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Received: 13 June 2016
Revised: 24 July 2016
Accepted manuscript online:
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PACS:
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03.67.Lx
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(Quantum computation architectures and implementations)
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03.67.Pp
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(Quantum error correction and other methods for protection against decoherence)
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03.67.Ac
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(Quantum algorithms, protocols, and simulations)
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| Fund: 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). |
Corresponding Authors:
Yong He
E-mail: heyongmath@163.com
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Cite this article:
Yong He(何勇), Ming-Xing Luo(罗明星) Controlled unknown quantum operations on hybrid systems 2016 Chin. Phys. B 25 120304
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