2 papers
quant-ph2026
Real Matrix Representations of Quantum Operators: An Introduction to Quantum Index Algebra
A. Yu. Volkov, G. A. Koroteev, Yu. S. Volkov
We introduce Quantum Index Algebra (QIA) as a finite, index-based algebraic framework for representing and manipulating quantum operators on Hilbert spaces of dimension . In Q…
math.OC2025
Upper and lower bounds of the value function for optimal control in the Wasserstein space
Yurii Averboukh, Aleksei Volkov
This paper explores the application of nonsmooth analysis in the Wasserstein space to finite-horizon optimal control problems for nonlocal continuity equations. We characterize the…