Tomographic Methods in Quantum Mechanics & Optics (MIPT Ph.D.)
Academic Provenance: Original Ph.D. dissertation in Theoretical Physics (Specialty 01.04.02) authored by Loran Jacobs (L.V. Akopyan) and supervised by Prof. Vladimir I. Man'ko at the Moscow Institute of Physics and Technology (MIPT, Dolgoprudny, 2011).
Core Scientific Value: A foundational mathematical and theoretical framework introducing the probabilistic representation of quantum mechanics and quantum optics. The work provides a unified formulation for discrete and continuous variables via quantum tomograms (symplectic, spin, optical, and photon-number).
Key Research Areas:
Generalization of Bell–CHSH inequalities for multi-qudit systems and analysis of Tsirelson bounds.
Formulation of unitary and joint tomographic entropies for entangled and separable states.
Investigation of multi-mode squeezed vacuum states of the electromagnetic field and derivation of new integral relations linking Hermite and Laguerre polynomials.
Format & Volume: Complete 150-page original academic manuscript (PDF) including detailed mathematical appendices.
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