Continuous Measurements in Probability Representation of Quantum Mechanics

Ya. V. Przhiyalkovskiy

Informatics and Automation, Mathematics of Quantum Technologies, Tome 313 (2021), pp. 208-218.

Résumé

The continuous quantum measurement within the probability representation of quantum mechanics is discussed. The partial classical propagator of the symplectic tomogram associated to a particular measurement outcome is introduced, for which the representation of a continuous measurement through the restricted path integral is applied. The classical propagator for the system undergoing a non-selective measurement is derived by summing these partial propagators over the entire outcome set. The elaborated approach is illustrated by considering the non-selective position measurement of a quantum oscillator and a quantum particle.

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