Please use this identifier to cite or link to this item: https://doi.org/10.1103/PhysRevA.82.042308
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dc.titleTwo-qubit symmetric informationally complete positive-operator-valued measures
dc.contributor.authorZhu, H.
dc.contributor.authorTeo, Y.S.
dc.contributor.authorEnglert, B.-G.
dc.date.accessioned2014-10-16T09:47:41Z
dc.date.available2014-10-16T09:47:41Z
dc.date.issued2010-10-11
dc.identifier.citationZhu, H., Teo, Y.S., Englert, B.-G. (2010-10-11). Two-qubit symmetric informationally complete positive-operator-valued measures. Physical Review A - Atomic, Molecular, and Optical Physics 82 (4) : -. ScholarBank@NUS Repository. https://doi.org/10.1103/PhysRevA.82.042308
dc.identifier.issn10502947
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/98489
dc.description.abstractIn the four-dimensional Hilbert space, there exist 16 Heisenberg-Weyl (HW) covariant symmetric informationally complete positive-operator-valued measures (SIC POVMs) consisting of 256 fiducial states on a single orbit of the Clifford group. We explore the structure of these SIC POVMs by studying the symmetry transformations within a given SIC POVM and among different SIC POVMs. Furthermore, we find 16 additional SIC POVMs by a suitable regrouping of the 256 fiducial states, and show that they are unitarily equivalent to the original 16 SIC POVMs by establishing an explicit unitary transformation. We then reveal the additional structure of these SIC POVMs when the four-dimensional Hilbert space is taken as the tensor product of two-qubit Hilbert spaces. In particular, when either the standard product basis or the Bell basis are chosen as the defining basis of the HW group, in eight of the 16 HW covariant SIC POVMs, all fiducial states have the same concurrence of √2/5. These SIC POVMs are particularly appealing for an experimental implementation, since all fiducial states can be connected to each other with just local unitary transformations. In addition, we introduce a concise representation of the fiducial states with the aid of a suitable tabular arrangement of their parameters. © 2010 The American Physical Society.
dc.description.urihttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1103/PhysRevA.82.042308
dc.sourceScopus
dc.typeArticle
dc.contributor.departmentPHYSICS
dc.description.doi10.1103/PhysRevA.82.042308
dc.description.sourcetitlePhysical Review A - Atomic, Molecular, and Optical Physics
dc.description.volume82
dc.description.issue4
dc.description.page-
dc.description.codenPLRAA
dc.identifier.isiut000282747800005
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