Quantum dynamics of the density operator in the framework of a single probability vector is analyzed. In this framework, quantum states define a proper convex quantum subset in an appropriate simplex. It is shown that the corresponding dynamical map preserving a quantum subset need not be stochastic, contrary to the classical evolution that preserves the entire simplex. Therefore, violation of stochasticity witnesses the quantumness of evolution.
Stochastic evolution of finite level systems: classical versus quantum / D., Chruściński; V. I., Man'Ko; Marmo, Giuseppe; Ventriglia, Franco. - In: PHYSICA SCRIPTA. - ISSN 0031-8949. - 87:4(2013), pp. 045015-1-045015-5. [10.1088/0031-8949/87/04/045015]
Stochastic evolution of finite level systems: classical versus quantum
MARMO, GIUSEPPE;VENTRIGLIA, FRANCO
2013
Abstract
Quantum dynamics of the density operator in the framework of a single probability vector is analyzed. In this framework, quantum states define a proper convex quantum subset in an appropriate simplex. It is shown that the corresponding dynamical map preserving a quantum subset need not be stochastic, contrary to the classical evolution that preserves the entire simplex. Therefore, violation of stochasticity witnesses the quantumness of evolution.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
