19 research outputs found
An Invitation to Quantum Channels
Open quantum systems have become an active area of research, owing to its
potential applications in many different fields ranging from computation to
biology. Here, we review the formalism of dynamical maps used to represent the
time evolution of open quantum systems and discuss the various representations
and properties of the same, with many examples.Comment: 14 pages, 6 figure
An Invitation to Quantum Channels
Open quantum systems have become an active area of research, owing to its
potential applications in many different fields ranging from computation to
biology. Here, we review the formalism of dynamical maps used to represent the
time evolution of open quantum systems and discuss the various representations
and properties of the same, with many examples.Comment: 14 pages, 6 figure
Noninvertibility and non-Markovianity of quantum dynamical maps
We identify two broad types of noninvertibilities in quantum dynamical maps,
one necessarily associated with CP-indivisibility and one not so. Next, we
study the production of (non-)Markovian, invertible maps by the process of
mixing noninvertible Pauli maps. The memory kernel perspective appears to be
less transparent on the issue of invertibility than the approaches based on
maps or master equations. Here we consider a related and potentially helpful
issue: that of identifying criteria of parameterized families of maps leading
to the existence of a well-defined semigroup limit.Comment: 7 pages, 2 figure