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Absolutely maximally entangled states from phase states

M. Mansour

Department of Physics, Polydisciplinary Faculty, University Sultan Moulay Slimane, Beni Mellal, Morocco

E-mail Address: m.mansour@usms.ma

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M. Daoud

Department of Physics, Faculty of Sciences Ain Chock, University Hassan II, Casablanca, Morocco

E-mail Address: m_daoud@hotmail.com

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L. Bouhouch

LPHE-Modeling and Simulation, Faculty of Sciences, University Mohammed V, Rabat, Morocco

E-mail Address: hossinbouhouch@gmail.com

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https://doi.org/10.1142/S0219749919500096Cited by:4 (Source: Crossref)

Abstract

We derive absolutely maximally entangled (AME) states from phase states for a multi-qudit system whose dynamics is governed by a two-qudit interaction Hamiltonian of Heisenberg type. AME states are characterized by being maximally entangled for all bipartitions of the multi-qudit system and present absolute multipartite entanglement. The key ingredient of this approach is the theory of phase states for finite-dimensional systems (qudits). We define further the unitary phase operators of $N$ $N$ -qudit systems and we give next the corresponding separable phase states. Using a qudit–qudit Hamiltonian acting as entangling operator on separable phase states, we generate entangled phase states. Finally, from the labeled entangled phase states, we derive the absolutely maximally entangled states.

Keywords:

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