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Two important results of quantum physics are the \textit{no-cloning} theoremand the \textit{monogamy of entanglement}. The former forbids the creation ofan independent and identical copy of an arbitrary unknown quantum state and thelatter restricts the shareability of quantum entanglement among multiplequantum systems. For distinguishable particles, one of these results imply theother. In this Letter, we show that in qubit systems with indistinguishableparticles (where each particle cannot be addressed individually), a maximumviolation of the monogamy of entanglement is possible by the measures that aremonogamous for distinguishable particles. To derive this result, we formulatethe degree of freedom trace-out rule for indistinguishable particlescorresponding to a spatial location where each degree of freedom might beentangled with the other degrees of freedom. Our result removes the restrictionon the shareability of quantum entanglement for indistinguishable particles,without contradicting the no-cloning theorem.

Maximum Violation of Monogamy of Entanglement for Indistinguishable Particles by Measures that are Monogamous for Distinguishable Particles