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Paper 1

Multi-party quantum Byzantine consensus based on full quantum one-way function

Tao Shang, Yao Tang, Yuanjing Zhang, Kun Zhang, Yazhuo Jiang

Year

2024

Journal

Quantum Information Processing

DOI

10.1007/s11128-024-04621-5

arXiv

-

No abstract.

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Paper 2

Structured Negativity: A physically realizable measure of entanglement based on structural physical approximation

Anu Kumari, Satyabrata Adhikari

Year

2022

Journal

arXiv preprint

DOI

arXiv:2209.03909

arXiv

2209.03909

Quantification of entanglement is one of the most important problem in quantum information theory. In this work, we will study this problem by defining a physically realizable measure of entanglement for any arbitrary dimensional bipartite system $ρ$, which we named as structured negativity $(N_S(ρ))$. We have shown that the introduced measure satisfies the properties of a valid entanglement monotone. We also have established an inequality that relate negativity and the structured negativity. For $d\otimes d$ dimensional state, we conjecture from the result obtained in this work that negativity coincide with the structured negativity when the number of negative eigenvalues of the partially transposed matrix is equal to $\frac{d(d-1)}{2}$. Moreover, we proved that the structured negativity not only implementable in the laboratory but also a better measure of entanglement in comparison to negativity. In few cases, we obtain that structure negativity gives better result than the lower bound of the concurrence obtained by Albeverio [Phys. Rev. Lett. \textbf{95}, 040504 (2005)].

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