The number of terms in the superpositions upper bounds the amount of the coherence change

The number of terms in the superpositions upper bounds the amount of the coherence change For the $$l_{1}$$ l 1 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. Quantum Information Processing Springer Journals

The number of terms in the superpositions upper bounds the amount of the coherence change

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Springer US
Copyright © 2016 by Springer Science+Business Media New York
Physics; Quantum Information Technology, Spintronics; Quantum Computing; Data Structures, Cryptology and Information Theory; Quantum Physics; Mathematical Physics
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