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Published June 6, 2020 | Version v1
Journal article

Partial separability/entanglement violates distributive rules

  • 1. The University of Suwon. Department of Data Science (Korea, Republic of)
  • 2. Seoul National University. Department of Mathematics and Institute of Mathematics (Korea, Republic of)
  • 3. Wigner Research Centre for Physics (Hungary)

Description

We found three qubit Greenberger–Horne–Zeilinger diagonal states which tell us that the partial separability of three qubit states violates the distributive rules with respect to the two operations of convex sum and intersection. The gaps between the convex sets involving the distributive rules are of nonzero volume.

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Publishing Information

Journal Title
Quantum Information Processing (Print)
Journal Volume
19
Journal Issue
7
Journal Page Range
vp.
ISSN
1570-0755

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Copyright (c) 2020 © Springer Science+Business Media, LLC, part of Springer Nature 2020