5 citations · 9 across the 4 of their papers we have counts for
6 papers
Quantifier elimination theory and maps which preserve semipositivity
Grzegorz Pastuszak, Adam Skowyrski, Andrzej Jamiołkowski
We give an algorithm determining whether a hermiticity-preserving superoperator is positive. In our approach we apply techniques of quantifier elimination theory for real numbers.…
On maps which preserve semipositivity and quantifier elimination theory for real numbers
Grzegorz Pastuszak, Adam Skowyrski, Andrzej Jamiołkowski
Assume that is a superoperator which preserves hermiticity. We give an algorithm determining whether preserv…
Application of Shemesh theorem to quantum channels
Michał Białończyk, Andrzej Jamiołkowski, Karol Życzkowski
Completely positive maps are useful in modeling the discrete evolution of quantum systems. Spectral properties of operators associated with such maps are relevant for determining t…
Dynamic Quantum Tomography Model for Phase-Damping Channels
Artur Czerwinski, Andrzej Jamiolkowski
In this article we propose a dynamic quantum tomography model for open quantum systems with evolution given by phase-damping channels. Mathematically, these channels correspond to…
Generalized Shemesh criterion, common invariant subspaces and irreducible completely positive superoperators
Andrzej Jamiołkowski, Grzegorz Pastuszak
Assume that are complex matrices. We give a computable criterion for existence of a common eigenvector of which generalize the result of D. Sh…
On a Stroboscopic Approach to Quantum Tomography of Qudits Governed by Gaussian Semigroups
Andrzej Jamiołkowski
In this paper, we discuss the minimal number of observables, where expectation values at some time instant determine the trajectory of a d-level quantum system ("qudit") governed b…