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2008 (v1)PublicationUploaded on: April 14, 2023
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2006 (v1)Publication
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Uploaded on: April 14, 2023 -
2006 (v1)Publication
We show that a QMS on a σ-finite von Neumann algebra A can be decomposed as the sum of several "sub"-semigroups corresponding to transient and recurrent projections. We discuss two applications to physical models.
Uploaded on: March 31, 2023 -
2010 (v1)Publication
We derive strongly convergent algorithms to solve inverse problems involving elastic-net regularization. Moreover, using functional analysis techniques we provide a rigorous study of the asymptotic properties of the regularized solutions that allows to cast in a unified framework l^1, elastic-net and classical Tikhonov regularization.
Uploaded on: April 14, 2023 -
2007 (v1)Publication
No description
Uploaded on: April 14, 2023 -
2014 (v1)Publication
We study the relationships between ergodicity and environment induced decoherence for Quantum Markov Semigroups on a von Neumann algebra. We show that these properties are equivalent when the set of fixed points is an algebra containing the maximal subalgebra on which the semigroup is authomorphic.
Uploaded on: May 13, 2023 -
2017 (v1)Publication
We establish the structure of uniformly continuous quantum Markov semigroups with atomic decoherence-free subalgebra and apply the result to derive a natural decomposition of a Markovian open quantum system into its noiseless (decoherence-free) and irreducible (ergodic) components. We deduce the structure of invariant states and a method for...
Uploaded on: April 14, 2023 -
2017 (v1)Publication
In this paper, we study some relevant properties of generic quantum Markov semigroups, in particular related to their asymptotic behavior. We can describe the structure of the set of fixed points and of the invariant states in terms of the Hamiltonian's spectrum and of the communication classes of the classical Markov process associated with...
Uploaded on: April 14, 2023 -
2013 (v1)Publication
We extend the classical Mercer theorem to reproducing kernel Hilbert spaces whose elements are functions from a measurable space X into Cn. Given a finite measure μ on X, we represent the reproducing kernel K as a convergent series in terms of the eigenfunctions of a suitable compact operator depending on K and μ. Our result holds under the...
Uploaded on: April 14, 2023 -
2011 (v1)Publication
In the framework of supervised learning we prove that the iterative algorithm introduced in Umanità and Villa (2010) allows to estimate in a consistent way the relevant features of the regression function under the a priori assumption that it admits a sparse representation.
Uploaded on: April 14, 2023 -
2010 (v1)Publication
This paper is devoted to the study of vector valued reproducing kernel Hilbert spaces. We focus on two aspects: vector valued feature maps and universal kernels. In particular we characterize the structure of translation invariant kernels on abelian groups and we relate it to the universality problem.
Uploaded on: March 25, 2023 -
2016 (v1)Publication
The structure of uniformly continuous quantum Markov semigroups with atomic decoherence-free subalgebra is established providing a natural decomposition of a Markovian open quantum system into its noiseless (decoherence-free) and irreducible (ergodic) components. This leads to a new characterization of the structure of invariant states and a...
Uploaded on: October 11, 2023