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Distinguishing Quantum States with Holevo Bound and Its Application to Spatially Separated Bell States

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Abstract

Consider a system prepared in one of the quantum states of the ensemble {ρ i } with a priori probability p i . We prove that the quantum state can be deterministically distinguished if and only if the information gain from the measurement reaches the Holevo bound. We find it can be applied to distinguish spatially separated Bell states. A single copy of spatially separated Bell state cannot be distinguished under local operation and classical communication (LOCC), but it can be identified with an ancillary qubit. When two ancillary qubits are used, a spatially separated Bell state can be identified without demolition.

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Acknowledgements

Financial support from NSFC Grant Nos. 10905028, U1204616, 11204072, 61378011. Program for Science Technology Innovation Talents in Universities of Henan Province (Grant No. 2012HASTIT028), Program for Science and Technology Innovation Research Team in University of Henan Province (Grant No. 13IRTSTHN020) and Science Foundation of Henan Provincial Education Department (Grant No. 2010A140010) is gratefully acknowledged. H. Lu is also supported by Hubei Provincial Department of Education under Grant No. 20121406.

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Authors and Affiliations

  1. Physics and Information Engineering Department, Luoyang Normal College, Luoyang, Henan, 471022, People’s Republic of China

    Yong-gang Tan, Yao-Hua Hu & Qiang Liu

  2. Department of Mathematics and Physics, Hubei University of Technology, Wuhan, 430068, People’s Republic of China

    Hua Lu

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  1. Yong-gang Tan
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  2. Yao-Hua Hu
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  3. Qiang Liu
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  4. Hua Lu
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Correspondence to Yao-Hua Hu.

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Tan, Yg., Hu, YH., Liu, Q. et al. Distinguishing Quantum States with Holevo Bound and Its Application to Spatially Separated Bell States. Int J Theor Phys 53, 1040–1045 (2014). https://doi.org/10.1007/s10773-013-1897-4

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  • DOI: https://doi.org/10.1007/s10773-013-1897-4

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