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On a time-resolved interpretation of the Husimi function
Ralph Sabbagh, Olga Movilla Miangolarra, Tryphon T. Georgiou
In this Letter, we interpret the Husimi function as the conditional probability density of continuously measuring a stream of constant position and momentum outcomes, indefinitely.…
Regulation of a continuously monitored quantum harmonic oscillator with inefficient detectors
Ralph Sabbagh, Olga Movilla Miangolarra, Tryphon T. Georgiou
We study the control problem of regulating the purity of a quantum harmonic oscillator in a Gaussian state via weak measurements. Specifically, we assume time-invariant Hamiltonian…
Quantum Schrodinger bridges: large deviations and time-symmetric ensembles
Olga Movilla Miangolarra, Ralph Sabbagh, Tryphon T. Georgiou
Quantum counterparts of Schrodinger's classical bridge problem have been around for the better part of half a century. During that time, several quantum approaches to this multifac…
Particle approximations of Wigner distributions for n arbitrary observables
Ralph Sabbagh, Olga Movilla Miangolarra, Hamid Hezari +1
A class of signed joint probability measures for n arbitrary quantum observables is derived and studied based on quasi-characteristic functions with symmetrized operator orderings…