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Teleportation Criteria Based on Maximum Eigenvalue of the Shared d ⊗ d Dimensional Mixed State: Beyond Singlet Fraction

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Abstract

We derive a criteria for the detection of d ⊗ d dimensional negative partial transpose (NPT) entangled state useful for teleportation. The newly derived criteria are based on the maximum eigenvalue of the NPT entangled state, which is easier to determine experimentally than to completely reconstruct the state via tomography. We then illustrate our criteria by considering a class of qubit-qubit system and qutrit-qutrit system.

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Acknowledgments

A. G. would like to acknowledge the financial support from CSIR. This work is supported by CSIR File No. 08/133(0035)/2019-EMR-1.

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  1. Delhi Technological University, Delhi, 110042, India

    Anuma Garg & Satyabrata Adhikari

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  1. Anuma Garg
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  2. Satyabrata Adhikari
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Correspondence to Satyabrata Adhikari.

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Garg, A., Adhikari, S. Teleportation Criteria Based on Maximum Eigenvalue of the Shared d ⊗ d Dimensional Mixed State: Beyond Singlet Fraction. Int J Theor Phys 60, 1038–1052 (2021). https://doi.org/10.1007/s10773-021-04725-z

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  • DOI: https://doi.org/10.1007/s10773-021-04725-z

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