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arXiv · 1605.02294

Parallel distinguishability of quantum operations

Runyao Duan·Cheng Guo·Chi-Kwong Li·Yinan Li
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Abstract

We find that the perfect distinguishability of two quantum operations by a parallel scheme depends only on an operator subspace generated from their Choi-Kraus operators. We further show that any operator subspace can be obtained from two quantum operations in such a way. This connection enables us to study the parallel distinguishability of operator subspaces directly without explicitly referring to the underlining quantum operations. We obtain a necessary and sufficient condition for the parallel distinguishability of an operator subspace that is either one-dimensional or Hermitian. In both cases the condition is equivalent to the non-existence of positive definite operator in the subspace, and an optimal discrimination protocol is obtained. Finally, we provide more examples to show that the non-existence of positive definite operator is sufficient for many other cases, but in general it is only a necessary condition.

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Runyao Duan, Cheng Guo, Chi-Kwong Li, Yinan Li. 2016-05-08. Parallel distinguishability of quantum operations. https://doi.org/10.1109/isit.2016.7541701

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