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arXiv · 2001.07106

Symmetries and entanglement of stabilizer states

Matthias Englbrecht·Barbara Kraus
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Abstract

Stabilizer states constitute a set of pure states which plays a dominant role in quantum error correction, measurement--based quantum computation, and quantum communication. Central in these applications are the local symmetries of these states. We characterize all local symmetries of arbitrary stabilizer states and provide an algorithm which determines them. We demonstrate the usefulness of these results by showing that the additional local symmetries find applications in entanglement theory and quantum error correction.

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Matthias Englbrecht, Barbara Kraus. 2020-01-20. Symmetries and entanglement of stabilizer states. https://doi.org/10.1103/physreva.101.062302

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