Entangled Probability Distributions for Center-of-Mass Tomography
Ivan V. Dudinets, Margarita A. Man'ko, Vladimir I. Man'ko

TL;DR
This paper reviews the formalism of center-of-mass quantum state tomography, introduces entangled probability distributions, and studies their time evolution in entangled inverted oscillator states.
Contribution
It introduces the concept of entangled probability distributions in center-of-mass tomography and analyzes their dynamics, advancing quantum state characterization methods.
Findings
Defined separable and entangled distributions for center-of-mass tomography
Derived the time evolution equations for entangled states
Provided insights into quantum state dynamics in inverted oscillators
Abstract
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 and entangled probability distributions for the center-of-mass tomography. We obtain the time evolution of center-of-mass tomograms of entangled states of the inverted oscillator.
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Taxonomy
TopicsMedical Imaging Techniques and Applications · Advanced X-ray and CT Imaging · MRI in cancer diagnosis
