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Critical Metrics and Covering Number by Freedman, Mike is a scholarly article available to read on EtoBox.

What is Critical Metrics and Covering Number about?

In both quantum computing and black hole physics, it is natural to regard some deformations, infinitesimal unitaries, as \emph{easy} and others as \emph{hard}. This has lead to a renewed examination of right-invariant metrics on $\operatorname{SU}(2^N)$. It has been hypothesized that there is a critical such metric -- in the sense of phase transitions -- and a conjectural form suggested. In this note we explore a restriction that the ring structure on cohomology places on the global geometry of a critical metric.

Author

Freedman, Mike

Published

2022

Language

EN