Bayesian Quantum Mechanics

Bayesian quantum mechanics is important in practical applications, such as designing quantum communication, quantum navigation, quantum metrology, quantum computers, and maybe even quantum radars. In contrast, textbook quantum mechanics does not model macroscopic measurement errors, and it does not model any kind of real physical measurement, despite much talk about “measurements” in physics textbooks. We explain the correct models and algorithms for measurements and filtering of quantum mechanical systems. We recall the amazing story of the Schrödinger equation and the meaning of its solution. We give a Bayesian generalization of the boring old Schrödinger equation that works for practical applications. We explore the scope of future research in Bayesian quantum mechanics. This talk is for normal engineers who do not have quantum mechanics for breakfast.