Hilbert-space-valued states on quantum logics

Hilbert Space-valued Mixingales

Hilbert Space Quantum Mechanics

1 Vectors (Kets) 1 1.1 Dirac notation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.2 Qubit or spin half . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.3 Intuitive picture . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.4 General d . . . . . . . . . . . . . . . . . . ...

Zakai Equations for Hilbert Space Valued Processes*

versity A state process is described by either a discrete time Hilbert space valued process, or a stochastic differential equation in Hilbert space. The state is observed through a finite dimensional process. Using a change of measure and a Fusive theorem the Zakai equation is obtained in discrete or continuous time. A risk sensitive state estimate is also defined.

Quantum physics on a general Hilbert space

Quantum physics on a general Hilbert space