Interference of Quantum States and Superposition Principle in Probability Representation of Quantum Mechanics
Abstract
The superposition of pure quantum states explicitly expressed in terms of a nonlinear addition rule of state density operators is reviewed. The probability representation of density matrices of qudit states is used to formulate the interference of the states as a combination of the probability distributions describing pure states. The formalism of quantizer-dequantizer operators is developed. Examples of spin-1/2 states and f-oscillator systems are considered.
- Publication:
-
Open Systems and Information Dynamics
- Pub Date:
- 2019
- DOI:
- 10.1142/S1230161219500161
- Bibcode:
- 2019OSID...2650016M
- Keywords:
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- Probability distribution;
- superposition states;
- quantum tomogram;
- qubit;
- quantizer–dequantizer;
- f-oscillator