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Probabilistic Cloning of Three Real States with Optimal Success Probabilities

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Abstract

We investigate the probabilistic quantum cloning (PQC) of three real states with average probability distribution. To get the analytic forms of the optimal success probabilities we assume that the three states have only two pairwise inner products. Based on the optimal success probabilities, we derive the explicit form of 1 →2 PQC for cloning three real states. The unitary operation needed in the PQC process is worked out too. The optimal success probabilities are also generalized to the M→N PQC case.

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Acknowledgments

This work is supported by the National Science Foundation of Anhui province (1508085SMA206, 1508085MF136) and the University Science Research Project of Anhui Province (KJ2017A625).

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  1. Anhui Xinhua University, Hefei, 230088, China

    Pin-shu Rui

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  1. Pin-shu Rui
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Correspondence to Pin-shu Rui.

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Rui, Ps. Probabilistic Cloning of Three Real States with Optimal Success Probabilities. Int J Theor Phys 56, 1784–1792 (2017). https://doi.org/10.1007/s10773-017-3325-7

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  • DOI: https://doi.org/10.1007/s10773-017-3325-7

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