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19932024
most citedNew uncertainty relations for tomographic entropy: Application to squeezed states and solitons

53 citations · 106 across the 7 of their papers we have counts for

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quant-ph2024★ 4 cited

Entangled Probability Distributions for Center-of-Mass Tomography

Ivan V. Dudinets, Margarita A. Man'ko, Vladimir I. Man'ko

We review the formalism of center-of-mass tomograms that allows us to describe quantum states in terms of probability distribution functions. We introduce the concept of separable…

quant-ph2016★ 8 cited

Minimal sets of dequantizers and quantizers for finite-dimensional quantum systems

P. Adam, V. A. Andreev, A. Isar +2

The problem of finding and characterizing minimal sets of dequantizers and quantizers applied in the mapping of operators onto functions is considered, for finite-dimensional quant…

quant-ph2015★ 4 cited

Hidden correlations in indivisible qudits as a resource for quantum technologies on examples of superconducting circuits

Margarita A Man'ko, Vladimir I Man'ko

We show that the density-matrix states of noncomposite qudit systems satisfy entropic and information relations like the subadditivity condition, strong subadditivity condition, an…

quant-ph2014★ 11 cited

Entropy-energy inequalities for qudit states

Armando Figueroa, Julio López, Octavio Castaños +3

We establish a procedure to find the extremal density matrices for any finite Hamiltonian of a qudit system. These extremal density matrices provide an approximate description of t…

quant-ph2006★ 1 cited

New Inequalities for Tomograms in the Probability Representation of Quantum States

Sergio De Nicola Renato Fedele, Margarita A. Man'ko, Vladimir I. Man'ko

New inequalities for symplectic tomograms of quantum states and their connection with entropic uncertainty relations are discussed within the framework of the probability represent…

quant-ph2006★ 53 cited

New uncertainty relations for tomographic entropy: Application to squeezed states and solitons

Sergio De Nicola, Renato Fedele, Margarita A. Man'ko +1

Using the tomographic probability distribution (symplectic tomogram) describing the quantum state (instead of the wave function or density matrix) and properties of recently introd…