Entanglement classification of pure symmetric states via spin coherent states

A. Mandilara, T. Coudreau, A. Keller, P. Milman

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)


We give explicit expressions for canonical states labeling the vast majority of entanglement equivalent classes of symmetric states of qubits and efficient algorithms for reducing a given state to the representative of the class it belongs. This way, we achieve an almost complete classification under local unitary and local invertible transformations for symmetric states. The main tool is a technique introduced in this work, enabling to decompose in a unique way, spin symmetric states into a superposition of spin-1/2 coherent states. For the case of two qubits, the proposed decomposition reproduces the Schmidt decomposition and therefore, in the case of a higher number of qubits, can be considered as its generalization.

Original languageEnglish
Article number050302
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Issue number5
Publication statusPublished - Nov 7 2014

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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