34 research outputs found
Quantum suprematism picture of Malevich's squares triada for spin states and the parametric oscillator evolution in the probability representation of quantum mechanics
Review of tomographic probability representation of quantum states is
presented both for oscillator systems with continious variables and
spin--systems with discrete variables. New entropic--information inequalities
are obtained for Franck--Condon factors. Density matrices of qudit states are
expressed in terms of probabilities of artificial qubits as well as the quantum
suprematism approach to geometry of these states using the triadas of Malevich
squares is developed. Examples of qubits, qutrits and ququarts are considered.Comment: the material of the talk given at Symmetries in Science Symposium,
Bregenz, 201
Correlations in a system of classical--like coins simulating spin-1/2 states in the probability representation of quantum mechanics
An analog of classical "hidden variables" for qubit states is presented. The
states of qubit (two-level atom, spin-1/2 particle) are mapped onto the states
of three classical--like coins. The bijective map of the states corresponds to
the presence of correlations of random classical--like variables associated
with the coin positions "up" or "down" and the observables are mapped onto
quantum observables described by Hermitian matrices. The connection of the
classical--coin statistics with the statistical properties of qubits is found