Title
The number of terms in the superpositions upper bounds the amount of the coherence change.
Abstract
For the $$l_{1}$$l1 norm of coherence, what is the relation between the coherence of a state and the individual terms that by superposition yield the state? We find upper bounds on the coherence change before and after the superposition. When every term comes from one Hilbert subspace, the upper bound is the number of terms in the superpositions minus one. However, when the terms have support on orthogonal subspaces, the coherence of the superposition cannot be more the double of the above upper bound than the average of the coherence of the all terms being superposed.
Year
DOI
Venue
2016
10.1007/s11128-016-1399-4
Quantum Information Processing
Keywords
Field
DocType
Quantum coherence,The,\(l_{1}\),norm of coherence,Superpositions
Superposition principle,Subspace topology,Quantum mechanics,Upper and lower bounds,Linear subspace,Coherence (physics),Mutual coherence,Physics
Journal
Volume
Issue
ISSN
15
10
1570-0755
Citations 
PageRank 
References 
0
0.34
1
Authors
2
Name
Order
Citations
PageRank
Feng Li1115.63
Fei Li200.68