All classes of informationally complete symmetric measurements in finite dimensions

Katarzyna

Siudzińska

(UMK Toruń, Poland)

January 8, 2025 2:30 PM

Abstract:

A broad class of informationally complete symmetric measurements is introduced. It can be understood as a common generalization of symmetric, informationally complete (SIC) POVMs and mutually unbiased bases (MUBs). Additionally, it provides a natural way to define two new families of mutually unbiased symmetric measurement operators in any finite dimension. I show a general method of their construction, together with an example of an optimal measurement. Finally, I analyze the properties of symmetric measurements and provide applications in entropic relations and entanglement detection.


Time: Jan 8, 2025 02:30 PM Warsaw
Zoom link: https://us05web.zoom.us/j/83922907300?pwd=S2Y2RiCKa7sD55bf3Rp2i6aamQuSkN.1
Meeting ID: 839 2290 7300
Passcode: 41FiTq

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