Incoherent Superposition and Decomposition

Edward Collett

J. Perˇina

Antonio Zecca A

Xavier Oriols, Jordi Suñé

An original entity is defined to study quantum beams of conserved particles. The beam is described as a Stationary Incoherent Superposition of Wave packets (SISOW). Mean values are time-independent confirming that the SISOW describes a stationary flux of particles. The SISOW is a general entity that contains the Hamiltonian eigenstates as a particular limit. The decomposition of the SISOW into wave packets provides intrinsic dynamic information which is not accessible from Hamiltonian eigenstates. The SISOW provides and adequate framework to study mesoscopic systems

Paul Peter Urone, Roger A. Hinrichs

Swapan Rana, Maciej Lewenstein

Abstract We show that any incoherent qubit channel could be decomposed into four incoherent Kraus operators. The proof consists in showing existence of four incoherent Kraus operators by decomposing the corresponding Choi–Jamiołkowski–Sudarshan matrix. We mention some applications of this optimal decomposition. We also show that the Kraus rank and incoherent rank are different even for qubit channel.