Quantum algorithms for topological and geometric analysis of data

Quantum computers exhibit a variety of exponential enhancements over classical computers for performing linear algebraic operations.   This talk reviews quantum algorithms for algebraic topology: I show how the central problem of simplicial homology can be mapped into a quantum computation, with an exponential speedup over classical algorithms.  The method is particularly well adapted to topological analysis of large data sets, including financial time series analysis.

https://harvard.zoom.us/j/779283357?pwd=MitXVm1pYUlJVzZqT3lwV2pCT1ZUQT09