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Homological invariants of stabilizer states

Klaus Wirthmüller
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Abstract

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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Klaus Wirthmüller. 2006-11-12. Homological invariants of stabilizer states. https://arxiv.org/abs/quant-ph/0611131

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