Maximizing nearest neighbour entanglement in finitely correlated qubit--chains

Abstract

We consider translationally invariant states of an infinite one dimensional chain of qubits or spin-1/2 particles. We maximize the entanglement shared by nearest neighbours via a variational approach based on finitely correlated states. We find an upper bound of nearest neighbour concurrence equal to C=0.434095 which is 0.09% away from the bound C_W=0.434467 obtained by a completely different procedure. The obtained state maximizing nearest neighbour entanglement seems to approximate the maximally entangled mixed states (MEMS). Further we investigate in detail several other properties of the so obtained optimal state.

12 pages, 4 figures, 2nd version minor changes

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• Lorentz invariance of entanglement classes in multipartite systems
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• Proving the Generation of Genuine Multipartite Entanglement in a Single-Neutron Interferometer Experiment
• Macroscopic Observables Detecting Genuine Multipartite Entanglement and Partial Inseparability in Many-Body Systems
• Infinite qubit rings with maximal nearest neighbor entanglement: the Bethe ansatz solution
• The SIRI stochastic model with creation and annihilation operators
• Partial Multipartite Entanglement in the Matrix Product State Formalism
• Maximally entangled fermions
• Equally entangled multiqubit states