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Are all maximally entangled states pure?

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abstract

We study if all maximally entangled states are pure through several entanglement monotones. In the bipartite case, we find that the same conditions which lead to the uniqueness of the entropy of entanglement as a measure of entanglement, exclude the existence of maximally mixed entangled states. In the multipartite scenario, our conclusions allow us to generalize the idea of monogamy of entanglement: we establish the \textit{polygamy of entanglement}, expressing that if a general state is maximally entangled with respect to some kind of multipartite entanglement, then it is necessarily factorized of any other system.

fields

quant-ph 1

years

2019 1

verdicts

UNVERDICTED 1

representative citing papers

Harmony for 2-Qubit Entanglement

quant-ph · 2019-06-21 · unverdicted · novelty 5.0

Harmony is a new entanglement measure for two qubits expressed as a simple function of the density operator that detects separability and maximal entanglement and is monogamous for three-qubit states.

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  • Harmony for 2-Qubit Entanglement quant-ph · 2019-06-21 · unverdicted · none · ref 4 · internal anchor

    Harmony is a new entanglement measure for two qubits expressed as a simple function of the density operator that detects separability and maximal entanglement and is monogamous for three-qubit states.