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Searching for Maximally Entangled Seven-Qubit State via Reduced Density Matrices

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Abstract

Maximally quantum entanglement is vital for the application of quantum communications and quantum information, and plays a fundamental role in quantum information. In this paper, we present a new approach, via reduced density matrices, to search the maximally seven-qubit pure states. Through the numerical calculations and analysis, we construct a simple form of maximally seven-qubit pure states. Further, we find maximally entangled seven-qubit states whose marginal density matrices for subsystems of 1, 2 are completely mixed. Moreover, We show that average bipartite entanglement of maximally seven-qubit pure states is also \(\frac{19}{140}\). Our result provides the research foundation for the development of quantum communication and quantum information.

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Authors and Affiliations

  1. Shaanxi Engineering Research Center of Controllable Neutron Source, School of Science, Xijing University, Xi’an, 710123, People’s Republic of China

    Ge Huo & Haiqing Huang

  2. School of Science, Xi’an University of Posts and Telecommunications, Xi’an, 710121, People’s Republic of China

    Xinwei Zha

Authors
  1. Ge Huo
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  2. Haiqing Huang
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  3. Xinwei Zha
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Correspondence to Ge Huo.

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Huo, G., Huang, H. & Zha, X. Searching for Maximally Entangled Seven-Qubit State via Reduced Density Matrices. Int J Theor Phys 61, 253 (2022). https://doi.org/10.1007/s10773-022-05223-6

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  • DOI: https://doi.org/10.1007/s10773-022-05223-6

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