4 papers
Superstate Quantum Mechanics
Mikhail Gennadievich Belov, Victor Victorovich Dubov, Vadim Konstantinovich Ivanov +3
We introduce Superstate Quantum Mechanics (SQM), a theory that considers states in Hilbert space subject to multiple quadratic constraints, with ``energy'' also expressed as a quad…
Trade Execution Flow as the Underlying Source of Market Dynamics
Mikhail Gennadievich Belov, Victor Victorovich Dubov, Vadim Konstantinovich Ivanov +3
In this work, we demonstrate experimentally that the execution flow, , is the fundamental driving force of market dynamics. We develop a numerical framework to calculate…
Semidefinite Programming for Quantum Channel Learning
Mikhail Gennadievich Belov, Victor Victorovich Dubov, Vadim Konstantinovich Ivanov +3
The problem of reconstructing a quantum channel from a sample of classical data is considered. When the total fidelity can be represented as a ratio of two quadratic forms (e.g., i…
Quantum Channel Learning
Mikhail Gennadievich Belov, Victor Victorovich Dubov, Alexey Vladimirovich Filimonov +1
The problem of an optimal mapping between Hilbert spaces and , based on a series of density matrix mapping measurements , , is for…