Determining quantum coherence with minimal resources

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dc.contributor Aalto-yliopisto fi
dc.contributor Aalto University en Carmeli, Claudio Heinosaari, Teiko Maniscalco, Sabrina Schultz, Jussi Toigo, Alessandro 2018-08-01T13:31:48Z 2018-08-01T13:31:48Z 2018-06-01
dc.identifier.citation Carmeli , C , Heinosaari , T , Maniscalco , S , Schultz , J & Toigo , A 2018 , ' Determining quantum coherence with minimal resources ' New Journal of Physics , vol 20 , no. 6 , 063038 , pp. 1-11 . DOI: 10.1088/1367-2630/aacbea en
dc.identifier.issn 1367-2630
dc.identifier.other PURE UUID: a00d2921-9a32-47d8-88d2-eed3e3f1954a
dc.identifier.other PURE ITEMURL:
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dc.description.abstract We characterize minimal measurement setups for validating the quantum coherence of an unknown quantum state. We show that for a d-level system, the optimal strategy consists of measuring d orthonormal bases such that each measured basis is mutually unbiased with respect to the reference basis, and together with the reference basis they form an informationally complete set of measurements. We prove that, in general, any strategy capable of validating quantum coherence allows one to evaluate also the exact value of coherence. We then give an explicit construction of the optimal measurements for arbitrary dimensions, and we derive a reconstruction formula for the off-diagonal terms. We also demonstrate that the same measurement setup is optimal for the modified task of verifying if the coherence is above or below a given threshold value. Finally, we show that the certification of entanglement of bipartite maximally correlated states is intimately connected with the certification of coherence. en
dc.format.extent 1-11
dc.format.mimetype application/pdf
dc.language.iso en en
dc.relation.ispartofseries New Journal of Physics en
dc.relation.ispartofseries Volume 20, issue 6 en
dc.rights openAccess en
dc.subject.other Physics and Astronomy(all) en
dc.subject.other 114 Physical sciences en
dc.title Determining quantum coherence with minimal resources en
dc.type A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä fi
dc.description.version Peer reviewed en
dc.contributor.department University of Genoa
dc.contributor.department University of Turku
dc.contributor.department Department of Applied Physics
dc.contributor.department Polytechnic University of Milan
dc.subject.keyword coherence
dc.subject.keyword maximally correlated state
dc.subject.keyword mutually unbiased bases
dc.subject.keyword quantum tomography
dc.subject.keyword Physics and Astronomy(all)
dc.subject.keyword 114 Physical sciences
dc.identifier.urn URN:NBN:fi:aalto-201808014263
dc.identifier.doi 10.1088/1367-2630/aacbea
dc.type.version publishedVersion

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