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2014

States that are far from being stabilizer states

Andersson, David, Bengtsson, Ingemar, Blanchfield, Kate et al.

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Stabilizer states are eigenvectors of maximal commuting sets of operators in a finite Heisenberg group.

States that are far from being stabilizer states include magic states in quantum computation, MUB-balanced states, and SIC vectors.
In prime dimensions the latter two fall under the umbrella of Minimum Uncertainty States (MUS) in the sense of Wootters and Sussman.
We study the correlation between two ways in which the notion of "far from being a stabilizer state" can be quantified, and give detailed results for low dimensions.

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