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Generalized duality quantum computers acting on mixed states

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Abstract

A generalized duality quantum computer acting on mixed states (GDQC-MS) is established, which is a device consisting of a generalized quantum wave divider, a finite number of generalized quantum operations, and a generalized quantum wave combiner. Some of the interesting properties of a GDQC are explored. For example, it is proved that the divider and the combiner of a GDQC-MS are mutually dual contractions, and when the generalized quantum operations used in a GDQC-MS are contractions, the GDQC-MS is also a contraction. In that case, the loss of an input state passing through a GDQC-MS is measured and the corresponding operator of a GDQC-MS is a generalized quantum operation.

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Acknowledgments

This research was partially supported by the National Natural Science Foundation of China (11371012, 11401359, 11471200) and the Natural Science Research Program of Shaanxi Province (2014JQ1010). The authors would like to thank the referees for their valuable and kind comments and suggestions.

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Authors and Affiliations

  1. School of Mathematics and Information Science, Shaanxi Normal University, Xi’an, 710062, China

    Liang Chen, Huai-Xin Cao & Hui-Xian Meng

  2. Department of Mathematics, Changji College, Changji, 831100, China

    Liang Chen

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  1. Liang Chen
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  2. Huai-Xin Cao
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  3. Hui-Xian Meng
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Correspondence to Huai-Xin Cao.

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Chen, L., Cao, HX. & Meng, HX. Generalized duality quantum computers acting on mixed states. Quantum Inf Process 14, 4351–4360 (2015). https://doi.org/10.1007/s11128-015-1112-z

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  • DOI: https://doi.org/10.1007/s11128-015-1112-z

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