Date: 2022-11-18 01:52 pm (UTC)
dmm: (Default)
From: [personal profile] dmm
That particular group seems to do research linked with rather interesting math:

http://www.physics.umb.edu/Research/QBism/readings.html

http://www.physics.umb.edu/Research/QBism/solutions.html

https://en.wikipedia.org/wiki/SIC-POVM - symmetric, informationally complete, positive operator-valued measure

This is one of papers from that group: "The SIC Question: History and State of Play", https://arxiv.org/abs/1703.07901

The Wikipedia page says:

"A symmetric, informationally complete, positive operator-valued measure (SIC-POVM) is a special case of a generalized measurement on a Hilbert space, used in the field of quantum mechanics. A measurement of the prescribed form satisfies certain defining qualities that makes it an interesting candidate for a "standard quantum measurement", utilized in the study of foundational quantum mechanics, most notably in QBism. Furthermore, it has been shown that applications exist in quantum state tomography and quantum cryptography, and a possible connection has been discovered with Hilbert's twelfth problem."

In particular: "SICs and Algebraic Number Theory", https://arxiv.org/abs/1701.05200

https://en.wikipedia.org/wiki/Hilbert%27s_twelfth_problem



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