dc.contributor.author | Scott, A | |
dc.date.accessioned | 2017-05-03T16:55:39Z | |
dc.date.available | 2017-05-03T16:55:39Z | |
dc.date.issued | 2006 | |
dc.date.modified | 2009-09-22T05:52:00Z | |
dc.identifier.issn | 03054470 | |
dc.identifier.doi | 10.1088/0305-4470/39/43/009 | |
dc.identifier.uri | http://hdl.handle.net/10072/22680 | |
dc.description.abstract | We introduce a class of informationally complete positive-operator-valued measures which are, in analogy with a tight frame, 'as close as possible' to orthonormal bases for the space of quantum states. These measures are distinguished by an exceptionally simple state-reconstruction formula which allows 'painless' quantum state tomography. Complete sets of mutually unbiased bases and symmetric informationally complete ositive-operatorvalued measures are both members of this class, the latter being the unique minimal rank-one members. Recast as ensembles of pure quantum states, the rank-one members are in fact equivalent to weighted 2-designs in complex projective space. These measures are shown to be optimal for quantum cloning and linear quantum state tomography. | |
dc.description.peerreviewed | Yes | |
dc.description.publicationstatus | Yes | |
dc.format.extent | 228583 bytes | |
dc.format.mimetype | application/pdf | |
dc.language | English | |
dc.language.iso | eng | |
dc.publisher | Institute of Physics Publishing | |
dc.publisher.place | United Kingdom | |
dc.publisher.uri | https://iopscience.iop.org/journal/1751-8121 | |
dc.relation.ispartofstudentpublication | N | |
dc.relation.ispartofpagefrom | 13507 | |
dc.relation.ispartofpageto | 13530 | |
dc.relation.ispartofissue | 43 | |
dc.relation.ispartofjournal | Journal of Physics A: Mathematical and General | |
dc.relation.ispartofvolume | 39 | |
dc.rights.retention | Y | |
dc.subject.fieldofresearch | Quantum Physics not elsewhere classified | |
dc.subject.fieldofresearch | Mathematical Sciences | |
dc.subject.fieldofresearch | Physical Sciences | |
dc.subject.fieldofresearchcode | 020699 | |
dc.subject.fieldofresearchcode | 01 | |
dc.subject.fieldofresearchcode | 02 | |
dc.title | Tight informationally complete quantum measurements | |
dc.type | Journal article | |
dc.type.description | C1 - Articles | |
dc.type.code | C - Journal Articles | |
gro.rights.copyright | © 2006 Institute of Physics Publishing. This is the author-manuscript version of this paper. Reproduced in accordance with the copyright policy of the publisher. Please refer to the journal's website for access to the definitive, published version. | |
gro.date.issued | 2006 | |
gro.hasfulltext | Full Text | |
gro.griffith.author | Scott, Andrew J. | |