|
Quantum probability was developed in the 1980s as a noncommutative analog of the Kolmogorovian theory of stochastic processes . One of its aims is to clarify the mathematical foundations of quantum theory and its statistical interpretation. A significant recent application to physics is the dynamical solution of the quantum measurement problem , by giving constructive models of quantum observation processes which resolve many famous paradoxes of quantum mechanics. Some recent advances are based on quantum filtering and feedback control theory as applications of quantum stochastic calculus. == Orthodox quantum mechanics == Orthodox quantum mechanics has two seemingly contradictory mathematical descriptions: 1. deterministic unitary time evolution (governed by the Schrödinger equation) and 2. stochastic (random) wavefunction collapse. Most physicists are not concerned with this apparent problem. Physical intuition usually provides the answer, and only in unphysical systems (e.g., Schrödinger's cat, an isolated atom) do paradoxes seem to occur. Orthodox quantum mechanics can be reformulated in a quantum-probabilistic framework, where quantum filtering theory (see Bouten et al. for introduction or Belavkin, 1970s ) gives the natural description of the measurement process. This new framework encapsulates the standard postulates of quantum mechanics, and thus all of the science involved in the orthodox postulates. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「quantum probability」の詳細全文を読む スポンサード リンク
|