Quantum suprematism picture of Malevich's squares triada for spin states and the parametric oscillator evolution in the probability representation of quantum mechanics
arXiv:1712.01927 · doi:10.1088/1742-6596/1071/1/012008
Abstract
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.
the material of the talk given at Symmetries in Science Symposium, Bregenz, 2017
References in corpus (6)
- Multilevel superconducting circuits as two-qubit systems: Operations, state preparation, and entropic inequalities
- Quantum simulation of molecular spectroscopy in trapped-ion device
- Metric on the space of quantum states from relative entropy. Tomographic reconstruction
- Triangle geometry of the qubit state in the probability representation expressed in terms of the triada of Malevich's Squares
- Time-evolution of quantum systems via a complex nonlinear Riccati equation. I. Conservative systems with time-independent Hamiltonian
- Probability representation of quantum observable and quantum states