Please help us test our new pre-print finding feature by giving the pre-print link a rating. A 5 star rating indicates the linked pre-print has the exact same content as the published article.
Authors:Markus Hasenöhrl, Matthias C. Caro Abstract: Open Systems & Information Dynamics, Volume 30, Issue 01, March 2023. The problem of characterizing GKLS-generators and CP-maps with an invariant von Neumann algebra [math] appeared in different guises in the literature. We prove two unifying results, which hold even for weakly closed *-algebras: first, we show how to construct a normal form for [math]-invariant GKLS-generators, if a normal form for [math]-invariant CP-maps is known — rendering the two problems essentially equivalent. Second, we provide a normal form for [math]-invariant CP-maps if [math] is atomic (which includes the finite-dimensional case). As an application we reproduce several results from the literature as direct consequences of our characterizations and thereby point out connections between different fields. Citation: Open Systems & Information Dynamics PubDate: 2023-03-31T07:00:00Z DOI: 10.1142/S1230161223500014 Issue No:Vol. 30, No. 01 (2023)
Please help us test our new pre-print finding feature by giving the pre-print link a rating. A 5 star rating indicates the linked pre-print has the exact same content as the published article.
Authors:Jorge R. Bolaños-Servín, Roberto Quezada, Josué Vázquez-Becerra Abstract: Open Systems & Information Dynamics, Volume 30, Issue 01, March 2023. We broaden the study of circulant Quantum Markov Semigroups (QMS). First, we introduce the notions of [math]-circulant GKSL generator and [math]-circulant QMS from the circulant case, corresponding to [math], to an arbitrary finite group [math]. Second, we show that each [math]-circulant GKSL generator has a block-diagonal representation [math], where [math] is a [math]-circulant matrix determined by some [math]. Denoting by [math] the subgroup of [math] generated by the support of [math], we prove that [math] has its own block-diagonal matrix representation [math] where [math] is an irreducible [math]-circulant matrix and [math] is the index of [math] in [math]. Finally, we exploit such block representations to characterize the structure, steady states, and asymptotic evolution of [math]-circulant QMSs. Citation: Open Systems & Information Dynamics PubDate: 2023-03-31T07:00:00Z DOI: 10.1142/S1230161223500026 Issue No:Vol. 30, No. 01 (2023)
Please help us test our new pre-print finding feature by giving the pre-print link a rating. A 5 star rating indicates the linked pre-print has the exact same content as the published article.
Authors:Frederik vom Ende Abstract: Open Systems & Information Dynamics, Volume 30, Issue 01, March 2023. In this work we investigate Stinespring dilations of quantum-dynamical semigroups, which are known to exist by means of a constructive proof given by Davies in the early 70s. We show that if the semigroup describes an open system, that is, if it does not consist of only unitary channels, then the evolution of the dilated closed system has to be generated by an unbounded Hamiltonian; subsequently the environment has to correspond to an infinite-dimensional Hilbert space, regardless of the original system. Moreover, we prove that the second derivative of Stinespring dilations with a bounded total Hamiltonian yields the dissipative part of some quantum-dynamical semigroup — and vice versa. In particular this characterizes the generators of quantum-dynamical semigroups via Stinespring dilations. Citation: Open Systems & Information Dynamics PubDate: 2023-03-31T07:00:00Z DOI: 10.1142/S1230161223500038 Issue No:Vol. 30, No. 01 (2023)
Please help us test our new pre-print finding feature by giving the pre-print link a rating. A 5 star rating indicates the linked pre-print has the exact same content as the published article.
Authors:Anis Riahi, Habib Rebei, Amine Ettaieb, Ziyad Ali Alhussain, Hedi Ben Elmonser Abstract: Open Systems & Information Dynamics, Volume 30, Issue 01, March 2023. The main purpose of this paper is to investigate a generalized oscillator algebra, naturally associated with the [math]-Lévy-Meixner polynomials. We solve the problem of the Hopf algebraic structure for the [math]-deformed Lévy-Meixner oscillator algebra based on the one-parameter deformation of canonical commutation relations. Citation: Open Systems & Information Dynamics PubDate: 2023-03-31T07:00:00Z DOI: 10.1142/S123016122350004X Issue No:Vol. 30, No. 01 (2023)
Please help us test our new pre-print finding feature by giving the pre-print link a rating. A 5 star rating indicates the linked pre-print has the exact same content as the published article.
Authors:Frederik vom Ende, Emanuel Malvetti, Gunther Dirr, Thomas Schulte-Herbrüggen Abstract: Open Systems & Information Dynamics, Volume 30, Issue 01, March 2023. Our aim is twofold: First, we rigorously analyse the generators of quantum-dynamical semigroups of thermodynamic processes. We characterise a wide class of gksl-generators for quantum maps within thermal operations and argue that every infinitesimal generator of (a one-parameter semigroup of) Markovian thermal operations belongs to this class. We completely classify and visualise them and their non-Markovian counterparts for the case of a single qubit. Second, we use this description in the framework of bilinear control systems to characterise reachable sets of coherently controllable quantum systems with switchable coupling to a thermal bath. The core problem reduces to studying a hybrid control system (“toy model”) on the standard simplex allowing for two types of evolution: (i) instantaneous permutations and (ii) a one-parameter semigroup of [math]-stochastic maps. We generalise upper bounds of the reachable set of this toy model invoking new results on thermomajorisation. Using tools of control theory we fully characterise these reachable sets as well as the set of stabilisable states as exemplified by exact results in qutrit systems. Citation: Open Systems & Information Dynamics PubDate: 2023-03-31T07:00:00Z DOI: 10.1142/S1230161223500051 Issue No:Vol. 30, No. 01 (2023)
Hybrid journal (It can contain Open Access articles)
[121 journals]
