Volume 140, Number 4, November 2022
|Number of page(s)||6|
|Section||Atomic, molecular and optical physics|
|Published online||25 November 2022|
Coherent states with minimum Gini uncertainty for finite quantum systems
Department of Computer Science, University of Bradford - Bradford BD7 1DP, UK
(a) E-mail: firstname.lastname@example.org (corresponding author)
Received: 3 September 2022
Accepted: 14 November 2022
Uncertainty relations in terms of the Gini index are studied. The “Gini uncertainty constant” is estimated numerically and compared to an upper bound . It is shown that for large d we get . States with minimum Gini uncertainty and displacement transformations are used to define coherent states (where ) with minimum Gini uncertainty . The resolve the identity, and therefore an arbitrary state can be expanded in terms of them. This expansion is robust in the presence of noise.
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