TY - JOUR
T1 - Entanglement classification of pure symmetric states via spin coherent states
AU - Mandilara, A.
AU - Coudreau, T.
AU - Keller, A.
AU - Milman, P.
N1 - Publisher Copyright:
© 2014 American Physical Society.
Copyright:
Copyright 2014 Elsevier B.V., All rights reserved.
PY - 2014/11/7
Y1 - 2014/11/7
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevA.90.050302
DO - 10.1103/PhysRevA.90.050302
M3 - Article
AN - SCOPUS:84909957364
VL - 90
JO - Physical Review A
JF - Physical Review A
SN - 2469-9926
IS - 5
M1 - 050302
ER -