Title
Common Coherence Witnesses And Common Coherent States
Abstract
We show the properties and characterization of coherence witnesses. We show methods for constructing coherence witnesses for an arbitrary coherent state. We investigate the problem of finding common coherence witnesses for certain class of states. We show that finitely many different witnesses W-1, W-2, ..., W-n can detect some common coherent states if and only if Sigma(n)(i=1)t(i)W(i) is still a witnesses for any nonnegative numbers t(i)(i = 1, 2, ..., n). We show coherent states play the role of high-level witnesses. Thus, the common state problem is changed into the question of when different high-level witnesses (coherent states) can detect the same coherence witnesses. Moreover, we show a coherent state and its robust state have no common coherence witness and give a general way to construct optimal coherence witnesses for any comparable states.
Year
DOI
Venue
2021
10.3390/e23091136
ENTROPY
Keywords
DocType
Volume
common coherence witnesses, high-level witnesses, common coherent states
Journal
23
Issue
ISSN
Citations 
9
1099-4300
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
Bang-Hai Wang100.68
Zi-Heng Ding200.34
Zhihao Ma323.86
S. M. Fei47234.02