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Local distinguishability of Bell-type states

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Abstract

We consider the following scenario: a bipartite quantum state is prepared in one of the four Bell-type states. Each qubit is possessed by the spatially separated party, and the parties wish to distinguish between the four Bell-type states. To date, it is not possible to distinguish between the four orthonormal Bell-type states without entanglement-assisted discrimination by means of local operations and classical communication (LOCC). In this paper, we demonstrate the distinguishability of orthonormal Bell-type states with certainty by using LOCC, but no particle is exchanged between the two parties. We start with the local distinguishability of the orthogonal Bell-type states and generalize it for non-orthogonal Bell-type states with nonzero fidelity.

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Notes

  1. The QZ effect is the inhibition between quantum states by frequent multiple measurements of the state, that is, the quantum state usually collapses back to the initial state if the time between measurements is short enough [31, 32].

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Acknowledgements

This work was supported by the National Research Foundation of Korea (NRF) Grant funded by the Korea government (MSIT) (No. 2019R1A2C2007037).

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Authors and Affiliations

  1. Department of Electronics and Information Convergence Engineering, Kyung Hee University, Yongin-si, 17104, Korea

    Fakhar Zaman, Een-Kee Hong & Hyundong Shin

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  1. Fakhar Zaman
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Correspondence to Hyundong Shin.

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Zaman, F., Hong, EK. & Shin, H. Local distinguishability of Bell-type states. Quantum Inf Process 20, 174 (2021). https://doi.org/10.1007/s11128-021-03114-z

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