36 citations · 40 across the 9 of their papers we have counts for
9 papers
Changing Pedagogical Paradigms: Integrating Generative AI in Mathematics to Enhance Digital Literacy through 'Mathematical Battles with AI'
Maria Moskalenko, Alexander Trifanov, Roman Popkov +4
This paper introduces `Math Battles with AI', an innovative competitive format designed at ITMO University to redefine the role of generative AI in mathematics education. Moving aw…
Ladder operators approach to representation classification problem for Jordan-Schwinger image of su(2) algebra
G. V. Tushavin, A. I. Trifanov, E. V. Zaitseva
The eigenvalues of the complete commuting set of self-adjoint operators determine the classification of states. We construct a classification for the image of the Jordan-Schwinger…
Algebraic approach to electro-optic modulation of light: Exactly solvable multimode quantum model
George P. Miroshnichenko, Alexei D. Kiselev, Alexander I. Trifanov +1
We theoretically study electro-optic light modulation based on the quantum model where the linear electro-optic effect and the externally applied microwave field result in the inte…
An indirect measurement protocol of intracavity mode quadratures dispersion in Dynamical Casimir Effect
Alexander Trifanov, Ekaterina Trifanova, George Miroshnichenko
This work deals with the problem of photon detection generated from the mirror-induced Dynamical Casimir Effect. Particularly we are interested in measurement of those statistical…
Reduced conditional dynamic of quantum system under indirect quantum measurement
George Miroshnichenko, Alexander Trifanov
In this report, we study the reduced conditional dynamics of a quantum system in the case of indirect quantum measurement. The detectors microscopic part (pointer) interacts with t…
Indirect Measurement Process Parameterized by Nonunitary System - Pointer Interaction
Alexander Trifanov, George Miroshnichenko
An indirect quantum state measurement process is under investigation. Common evolution of detector's microscopic part (pointer) and measured system (target) is considered to be non…
The Photodetection Process under the Conditions of an Imperfect Measurement Device
Alexander Trifanov, George Miroshnichenko
The process of cavity mode quantum state photodetection subject to a nonideal measurement device is under consideration. A set of nonorthogonal probabilistic operator valued measur…
Conditional Phase Shift for Quantum CCNOT Operation
Alexander Ig. Trifanov, George P. Miroshnichenko
We suggest the improvement of description methods for quantum phase gate implementation in the cavity of QED configuration. Qubits are encoded into two lowest Fock state. Three qub…
Optical bistability in nonlinear system with two loops of feedback
George P. Miroshnichenko, Alexander I. Trifanov
A model of nonlinear optical system surrounded by two loops of feedback is investigated. The cell with the vapor of rubidium - type atoms is taken in the capacity of nonlinear elem…