{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,14]],"date-time":"2026-04-14T05:17:39Z","timestamp":1776143859649,"version":"3.50.1"},"reference-count":41,"publisher":"World Scientific Pub Co Pte Ltd","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Open Syst. Inf. Dyn."],"published-print":{"date-parts":[[2023,3]]},"abstract":"<jats:p>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 \u2014 and vice versa. In particular this characterizes the generators of quantum-dynamical semigroups via Stinespring dilations.<\/jats:p>","DOI":"10.1142\/s1230161223500038","type":"journal-article","created":{"date-parts":[[2023,4,4]],"date-time":"2023-04-04T08:45:43Z","timestamp":1680597943000},"source":"Crossref","is-referenced-by-count":4,"title":["Quantum-Dynamical Semigroups and the Church of the Larger Hilbert Space"],"prefix":"10.1142","volume":"30","author":[{"given":"Frederik","family":"vom Ende","sequence":"first","affiliation":[{"name":"Technische Universit\u00e4t M\u00fcnchen, School of Natural Sciences, 85747 Garching, Germany"},{"name":"Munich Centre for Quantum Science and Technology (MCQST) & Munich Quantum Valley (MQV), Schellingstra\u00dfe 4, 80799 M\u00fcnchen, Germany"}]}],"member":"219","published-online":{"date-parts":[[2023,3,31]]},"reference":[{"key":"S1230161223500038BIB001","doi-asserted-by":"crossref","first-page":"130401","DOI":"10.1103\/PhysRevLett.119.130401","volume":"119","author":"Beau M.","year":"2017","journal-title":"Phys. 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