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Certainty relations between local and nonlocal observables
KTH, School of Information and Communication Technology (ICT), Microelectronics and Information Technology, IMIT.ORCID iD: 0000-0002-2082-9583
2005 (English)In: New Journal of Physics, ISSN 1367-2630, E-ISSN 1367-2630, Vol. 7Article in journal (Refereed) Published
Abstract [en]

We point out that for an arbitrary number of identical particles, each defined on a Hilbert space of arbitrary dimension, there exists a whole ladder of relations of complementarity between certain local and nonlocal measurements corresponding to every conceivable grouping of the particles, e. g., the more accurately we can know ( by a measurement) some joint property of three qubits ( projecting the state onto a tripartite-entangled state), the less accurate some other property, local to the three qubits, becomes. We investigate the relation between these complementarity relations and a similar relation based on interference visibilities. We also show that the complementarity relations are particularly tight for particles defined on prime dimensional Hilbert spaces.

Place, publisher, year, edition, pages
2005. Vol. 7
Keyword [en]
mutually unbiased bases, double-slit experiment, uncertainty relations, state determination, quantum erasure, complementarity, principle, particle, wave, information
Identifiers
URN: urn:nbn:se:kth:diva-15298DOI: 10.1088/1367-2630/7/1/256ISI: 000234347200001Scopus ID: 2-s2.0-29744456598OAI: oai:DiVA.org:kth-15298DiVA: diva2:333339
Note
QC 20100525Available from: 2010-08-05 Created: 2010-08-05 Last updated: 2017-12-12Bibliographically approved

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Björk, Gunnar

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