Homological invariants of stabilizer states

Details Homological invariants of stabilizer states Homological invariants of stabilizer states

2006-11-12

arxiv.org/abs/quant-ph/0611131v1

Quantum Inf. Comput. 8, 595 (2008)

Physics

Quantum Physics

18 pages, 4 figures

Scientific paper

We propose a new kind of invariant of multi-party stabilizer states with respect to local Clifford equivalence. These homological invariants are discrete entities defined in terms of the entanglement a state enjoys with respect to arbitrary groupings of the parties, and they may be thought of as reflecting entanglement in a qualitative way. We investigate basic properties of the invariants and link them with known results on the extraction of GHZ states.

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