Multiparty quantum states stabilized by the diagonal subgroup of the local unitary group

Details Multiparty quantum states stabilized by the diagonal subgroup of the local unitary group Multiparty quantum states stabilized by the diagonal subgroup of the local unitary group

2008-08-21

arxiv.org/abs/0808.2989v2

Phys. Rev. A 78, 042314 (2008)

Physics

Quantum Physics

4 pages, 3 figures. Version 2 has numerous small changes and corrections

Scientific paper

10.1103/PhysRevA.78.042314

We classify, up to local unitary equivalence, the set of $n$-qubit states that is stabilized by the diagonal subgroup of the local unitary group. We exhibit a basis for this set, parameterized by diagrams of nonintersecting chords connecting pairs of points on a circle, and give a criterion for when the stabilizer is precisely the diagonal subgroup and not larger. This investigation is part of a larger program to partially classify entanglement type (local unitary equivalence class) via analysis of stabilizer structure.

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