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30 papers · 1 filter
Coherent states with minimum Gini uncertainty for finite quantum systems
C. Lei, A. Vourdas
Uncertainty relations in terms of the Gini index are studied. The `Gini uncertainty constant' is estimated numerically and compared to an upper bound $\tilde η_…
Uncertainty relations in terms of the Gini index for finite quantum systems
A. Vourdas
Lorenz values and the Gini index are popular quantities in Mathematical Economics, and are used here in the context of quantum systems with finite-dimensional Hilbert space. They q…
Probabilistic inequalities and measurements in bipartite systems
A. Vourdas
Various inequalities (Boole inequality, Chung-Erdös inequality, Frechet inequality) for Kolmogorov (classical) probabilities are considered. Quantum counterparts of these inequalit…
Exterior calculus and fermionic quantum computation
A. Vourdas
Exterior calculus with its three operations meet, join and hodge star complement, is used for the representation of fermion-hole systems and for fermionic analogues of logical gate…
The groupoid of bifractional transformations
S. Agyo, C. Lei, A. Vourdas
Bifractional transformations which lead to quantities that interpolate between other known quantities, are considered. They do not form a group, and groupoids are used to described…
Coherent spaces, Boolean rings and quantum gates
A. Vourdas
Coherent spaces spanned by a finite number of coherent states, are introduced. Their coherence properties are studied, using the Dirac contour representation. It is shown that the…