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Determining a class of symmetric multiqubit pure states from its parts

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It is well known that the Majorana geometric representation is useful in arriving at SLOCC classification of symmetric N-qubit states. Making use of this representation, we investigate how the correlation information in a class of symmetric states is imprinted in its parts. Considering a class of pure N-qubit symmetric states, characterized by two distinct Majorana spinors we show that only two (N -1) qubit reduced states suffice to uniquely specify any state belonging to this class. This method can also be employed to prove an analogous result for a related non-symmetric class of states, the so-called generalized Dicke-class.

This talk is part of the CQIF Seminar series.

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