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We have decided to discontinue the publication of preprints on our preprint server end of 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.
Quantum Information Masking of Hardmard Sets
Bao-Zhi Sun, Shao-Ming Fei and Xianqing Li-JostAbstract
We study quantum information masking of arbitrary dimensional states. We present the condition that the linear combination of fixed reducing states has the same marginal states as the fixed reducing ones. We define so called Hardmard set of quantum states whose Gram-Schmidt matrix can be diagonalized by Hardmard unitary matrices. We show that any Hardmard set can be deterministically masked by a unitary operation. Accounting to that a linear combination of fixed reducing states may have the same marginal states as the fixed reducing ones, we analyze the states which can be masked together with the given Hardmard set. Detailed examples are given to illustrate our results.
- Received:
- 26.02.20
- Published:
- 26.02.20