SU(2) Invariants of Symmetric Qubit States

Details SU(2) Invariants of Symmetric Qubit States SU(2) Invariants of Symmetric Qubit States

2011-08-25

arxiv.org/abs/1108.5105v1

JRLR, Volume32, No. 5 , 495-501 (2011)

Physics

Quantum Physics

7 pages, 1 fig

Scientific paper

10.1007/s10946-011-9239-6

Density matrix for N-qubit symmetric state or spin-j state (j = N/2) is expressed in terms of the well known Fano statistical tensor parameters. Employing the multiaxial representation [1], wherein a spin-j density matrix is shown to be characterized by j(2j+1) axes and 2j real scalars, we enumerate the number of invariants constructed out of these axes and scalars. These invariants are explicitly calculated in the particular case of pure as well as mixed spin-1 state.

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