Strong Super-additivity of the entanglement of formation for pure stabilizer states
David Fattal, Keiji Matsumoto
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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