An explicit construction of minimal support AME states

Guanmin Guo; Ruihu Li

doi:10.1117/12.2643577

9 October 2022 An explicit construction of minimal support AME states

Guanmin Guo, Ruihu Li

Proceedings Volume 12246, 2nd International Conference on Signal Image Processing and Communication (ICSIPC 2022); 122460K (2022) https://doi.org/10.1117/12.2643577
Event: 2nd International Conference on Signal Image Processing and Communication (ICSIPC 2022), 2022, Qingdao, China

Abstract

Absolutely maximally entangled (abbreviation AME) states are pure multipartite states that, when reduced to half or less of the sites, the maximum entropy mixed state is obtained, which have found significant applications in teleportation and quantum secret sharing. In this paper, we consider the sufficient conditions for the existence of the minimal support AME (n, q) state, and present a systemically explicit construction about minimal support AME states, then several minimal support AME states are drawn by employing GRS codes, Singleton arrays and their deformed arrays.

Citation Download Citation

Guanmin Guo and Ruihu Li "An explicit construction of minimal support AME states", Proc. SPIE 12246, 2nd International Conference on Signal Image Processing and Communication (ICSIPC 2022), 122460K (9 October 2022); https://doi.org/10.1117/12.2643577

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