dc.contributor.author | Andersson, Erika | |
dc.contributor.author | Cresser, James D | |
dc.contributor.author | Hall, Michael JW | |
dc.date.accessioned | 2017-05-03T16:06:08Z | |
dc.date.available | 2017-05-03T16:06:08Z | |
dc.date.issued | 2007 | |
dc.date.modified | 2012-07-27T03:10:03Z | |
dc.identifier.issn | 0950-0340 | |
dc.identifier.doi | 10.1080/09500340701352581 | |
dc.identifier.uri | http://hdl.handle.net/10072/46021 | |
dc.description.abstract | For any master equation which is local in time, whether Markovian, non-Markovian, of Lindblad form or not, a general procedure is given for constructing the corresponding linear map from the initial state to the state at time t, including its Kraus-type representations. Formally, this is equivalent to solving the master equation. For an N-dimensional Hilbert space it requires (i) solving a first order N 2 2 matrix time evolution (to obtain the completely positive map), and (ii) diagonalizing a related N 2 2 matrix (to obtain a Kraus-type representation). Conversely, for a given time-dependent linear map, a necessary and sufficient condition is given for the existence of a corresponding master equation, where the (not necessarily unique) form of this equation is explicitly determined. It is shown that a "best possible" master equation may always be defined, for approximating the evolution in the case that no exact master equation exists. Examples involving qubits are given. | |
dc.description.peerreviewed | Yes | |
dc.description.publicationstatus | Yes | |
dc.format.extent | 192361 bytes | |
dc.format.mimetype | application/pdf | |
dc.language | English | |
dc.publisher | Taylor & Francis Ltd. | |
dc.publisher.place | United Kingdom | |
dc.relation.ispartofstudentpublication | N | |
dc.relation.ispartofpagefrom | 1695 | |
dc.relation.ispartofpageto | 1716 | |
dc.relation.ispartofissue | 12 | |
dc.relation.ispartofjournal | Journal of Modern Optics | |
dc.relation.ispartofvolume | 54 | |
dc.rights.retention | Y | |
dc.subject.fieldofresearch | Mathematical aspects of classical mechanics, quantum mechanics and quantum information theory | |
dc.subject.fieldofresearch | Atomic, molecular and optical physics | |
dc.subject.fieldofresearch | Quantum physics | |
dc.subject.fieldofresearch | Quantum optics and quantum optomechanics | |
dc.subject.fieldofresearch | Quantum physics not elsewhere classified | |
dc.subject.fieldofresearch | Nanotechnology | |
dc.subject.fieldofresearchcode | 490203 | |
dc.subject.fieldofresearchcode | 5102 | |
dc.subject.fieldofresearchcode | 5108 | |
dc.subject.fieldofresearchcode | 510804 | |
dc.subject.fieldofresearchcode | 510899 | |
dc.subject.fieldofresearchcode | 4018 | |
dc.title | Finding the Kraus decomposition from a master equation and vice versa | |
dc.type | Journal article | |
dc.type.description | C1 - Articles | |
dc.type.code | C - Journal Articles | |
gro.rights.copyright | © 2007 Taylor & Francis. This is an electronic version of an article published in Journal of Modern Optics, Vol.54(12), 2007, pp.1695-1716. Journal of Modern Optics is available online at: http://www.tandfonline.com with the open URL of your article. | |
gro.date.issued | 2007 | |
gro.hasfulltext | Full Text | |
gro.griffith.author | Hall, Michael J. | |