Non-commutative probability and non-commutative processes: Beyond the Heisenberg algebra
Non-commutative probability and non-commutative processes: Beyond the Heisenberg algebra
A probability space is a pair ($\mathcal{A},\phi $) where $\mathcal{A}$ is an algebra and $\phi $ a state on the algebra. In classical probability $\mathcal{A}$ is the algebra of linear combinations of indicator functions on the sample space and in quantum probability $\mathcal{A}$ is the Heisenberg or Clifford algebra. However, …