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Strong Super-additivity of the entanglement of formation for pure stabilizer states

David Fattal·Keiji Matsumoto
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Abstract

We prove the strong super-additivity of the entanglement of formation for stabilizer pure states, and the set of mixed states which minimize their average entropy of entanglement as a mixture of stabilizer pure states sharing the same stabilizer group up to phases. The implications of the result on the additivity of the Holevo capacity of a quantum channel transmitting stabilizer states with Pauli noise is discussed.

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David Fattal, Keiji Matsumoto. 2007-02-10. Strong Super-additivity of the entanglement of formation for pure stabilizer states. https://arxiv.org/abs/quant-ph/0702097

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