Stochastic Local Operations with Classical Communication of Absolutely Maximally Entangled States

• URL: http://arxiv.org/abs/2003.13639v2
• Date: Thu, 2 Apr 2020 17:44:59 GMT
• Title: Stochastic Local Operations with Classical Communication of Absolutely Maximally Entangled States
• Authors: Adam Burchardt, Zahra Raissi
• Abstract summary: We present techniques for verifying either two AME states are equivalent concerning Local Operations and Classical Communication (SLOCC) We show that the existence of AME states with minimal support of 6 or more particles results in the existence of infinitely many such non-SLOCC-equivalent states. We present AME states which are not SLOCC-equivalent to the existing AME states with minimal support.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Absolutely Maximally Entangled (AME) states are maximally entangled for every bipartition of the system. They are crucial resources for various quantum information protocols. We present techniques for verifying either two AME states are equivalent concerning Stochastic Local Operations and Classical Communication (SLOCC). The conjecture that for a given multipartite quantum system all AME states are SLOCC-equivalent is falsified. We also show that the existence of AME states with minimal support of 6 or more particles results in the existence of infinitely many such non-SLOCC-equivalent states. Moreover, we present AME states which are not SLOCC-equivalent to the existing AME states with minimal support.

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