Parallel distinguishability of quantum operations
- Publication Type:
- Conference Proceeding
- Proceedings of the IEEE International Symposium on Information Theory (ISIT), 2016, pp. 2259 - 2263
- Issue Date:
Files in This Item:
|parallel distinguishability of quantum operations.pdf||Accepted Manuscript||431.74 kB|
Copyright Clearance Process
- Recently Added
- In Progress
- Open Access
This item is open access.
© 2016 IEEE.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.
Please use this identifier to cite or link to this item: