515 citations · 2k across the 66 of their papers we have counts for
66 papers
Spin-Boson Mappings in the Formalism of -Deformations
Vladimir A. Orlov, Liubov A. Markovich, Andrey V. Mikheyenkov +1
We develop a unified algebraic approach to spin-boson transformations based on the formalism of -deformed oscillators. In the single-mode case, we show that the Holstein-Primako…
From Discrete to Continuous-Variable Systems via Jordan-Schwinger Tomographic Transformation
Liubov A. Markovich, Vladimir A. Orlov, Alexey N. Rubtsov +1
Hybrid quantum systems that combine discrete-variable (DV) and continuous-variable (CV) architectures represent a promising direction in quantum information science. However, trans…
From free-evolution to tomographic representation
Sergio Cordero, Ramón López-Peña, Eduardo Nahmad-Achar +3
We use the free evolution propagator to determine the quantum probability representation (i.e., the general expression of the tomogram) of any one-dimensional system described by a…
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…
Partial symplectic quantum tomography schemes. Observables, evolution equations, and stationary states equations
Ya. A. Korennoy, V. I. Man'ko
Partial symplectic conditional and joint probability representations of quantum mechanics are considered. The correspondence rules for most interesting physical operators are found…
Not all Probability Density Functions are Tomograms
L. A. Markovich, J. Urbanetz, V. I. Man'ko
This paper delves into the significance of the tomographic probability density function (pdf) representation of quantum states, shedding light on the special classes of pdfs that c…