Format results
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Why I care
Chris Fuchs - University of Massachusetts Boston
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SIC Triple Products
Marcus Appleby - Queen Mary University of London
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Seeking Symmetries of SIC-POVMs
Markus Grassl - Max Planck Institute for the Science of Light
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Quantum state tomography from yes/no measurements
Martin Roetteler - NEC Laboratories America (Princeton)
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Unitary design: bounds on their size
Andrew Scott - Griffith University
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Culs-de-sac and open ends
David Gross - Universität zu Köln
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SICs, Convex Cones, and Algebraic Sets
Howard Barnum - University of New Mexico
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MUBS in infinite dimensions: the problematic analogy between L2(R) and C^d
Robin Blume-Kohout - Sandia National Laboratories
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Seeking Symmetries of SIC-POVMs
Markus Grassl - Max Planck Institute for the Science of Light
By definition, SIC-POVMs are symmetric in the sense that the magnitude of the inner product between any pair of vectors is constant. All known constructions are based on additional symmetries, mainly with respect to the Weyl-Heisenberg group. Analyzing solutions for small dimensions, Zauner has… -
Quantum state tomography from yes/no measurements
Martin Roetteler - NEC Laboratories America (Princeton)
Abstract: Adapting the concept of Wigner functions to finite dimensional systems is no simple matter. Basic issues with existing proposals are that they are either over-complete in the sense that the degrees of freedom in the Wigner function does not match the degrees of freedom in the original… -
Unitary design: bounds on their size
Andrew Scott - Griffith University
As a means of exactly derandomizing certain quantum information processing tasks, unitary designs have become an important concept in quantum information theory. A unitary design is a collection of unitary matrices that approximates the entire unitary group, much like a spherical design approximates… -
Culs-de-sac and open ends
David Gross - Universität zu Köln
I present three realizations about the SIC problem which excited me several years ago but which did not - unsurprisingly - lead anywhere. 1. In odd dimensions d, the metaplectic representation of SL(2,Z_d) decomposes into two irreducible components, acting on the odd and even parity subspaces… -
MUBs and SICs
Abstract: Complete sets of mutually unbiased bases are clearly \'cousins\' of SICs. One difference is that there is a \'theory\' for MUBs, in the sense that they are straightforward to construct in some cases, and probably impossible to construct in others. Moreover complete sets of MUBs do appear… -
SICs, Convex Cones, and Algebraic Sets
Howard Barnum - University of New Mexico
The question whether SICs exist can be viewed as a question about the structure of the convex set of quantum measurements, or turned into one about quantum states, asserting that they must have a high degree of symmetry. I\'ll address Chris Fuchs\' contrast of a \'probability first\' view of the… -
MUBS in infinite dimensions: the problematic analogy between L2(R) and C^d
Robin Blume-Kohout - Sandia National Laboratories