31 citations · 55 across the 10 of their papers we have counts for
5 papers · 1 filter
Convex combinations of CP-divisible Pauli channels that are not semigroups
Vinayak Jagadish, R. Srikanth, Francesco Petruccione
We study the memory property of the channels obtained by convex combinations of Markovian channels that are not necessarily quantum dynamical semigroups (QDSs). In particular, we c…
Convex Combinations of Pauli Semigroups: Geometry, Measure and an Application
Vinayak Jagadish, R. Srikanth, Francesco Petruccione
Finite-time Markovian channels, unlike their infinitesimal counterparts, do not form a convex set. As a particular instance of this observation, we consider the problem of mixing t…
Measure of not-completely-positive qubit maps: the general case
Vinayak Jagadish, R. Srikanth, Francesco Petruccione
We show that the set of not-completely-positive (NCP) maps is unbounded, unless further assumptions are made. This is done by first proposing a reasonable definition of a valid NCP…
An Invitation to Quantum Channels
Vinayak Jagadish, Francesco Petruccione
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 f…
Measure of positive and not completely positive single-qubit Pauli maps
Vinayak Jagadish, R. Srikanth, Francesco Petruccione
The time evolution of an initially uncorrelated system is governed by a completely positive (CP) map. More generally, the system may contain initial (quantum) correlations with an…