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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.
Maximal Holevo quantity based on weak measurements
Yao-Kun Wang, Shao-Ming Fei, Zhi-Xi Wang, Jun-Peng Cao and Heng FanAbstract
The Holevo bound is a keystone in many applications of quantum information theory. We propose "maximal Holevo quantity for weak measurements" as the generalization of the maximal Holevo quantity which is defined as the optimal projective measurements. The scenarios that weak measurements is necessary are that only the weak measurements can be performed because for example the system is macroscopic or that one intentionally tries to do so such that the disturbance on the measured system can be controlled for example in quantum key distribution protocols.
We evaluate systematically the maximal Holevo quantity for weak measurements for Bell-diagonal states and find a series of results. Furthermore, we find that weak measurements can be realized by noise and project measurements.
- Received:
- 25.08.15
- Published:
- 25.08.15