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SUMMARY:Compatibility of quantum measurements and inclusion constants for 
 free spectrahedra - Andreas Bluhm\, QMATH at University of Copenhagen
DTSTART:20191017T131500Z
DTEND:20191017T141500Z
UID:TALK131599@talks.cam.ac.uk
CONTACT:Johannes Bausch
DESCRIPTION:In this talk\, we establish a connection between two previousl
 y unrelated problems: the compatibility of measurements in quantum informa
 tion theory and the inclusion problem for free spectrahedra in convex opti
 mization. We show that compatibility of a tuple of binary measurements is 
 equivalent to the inclusion of the matrix diamond inside a free spectrahed
 ron defined by the effect operators of the measurements. We also relate th
 e amount of noise necessary to render any tuple of binary measurements com
 patible to the inclusion constants for the matrix diamond. These connectio
 ns allow us to largely improve known bounds for incompatibility robustness
  from quantum information theory. Finally\, we will show how to extend our
  results to measurements with an arbitrary number of outcomes. 
LOCATION:MR15\, Centre for Mathematical Sciences\, Wilberforce Road\, Camb
 ridge
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