Chapter 3

Field computation

A framework for quantum-inspired computing

B.J. MacLennan    University of Tennessee, Knoxville, TN, United States

Abstract

Fields are spatially continuous distributions of quantity, and field computation operates on fields in parallel. Examples of fields include neural activity across macroscopic regions of cortex and quantum wave functions, but also other massively parallel analog representations. By means of the mathematics of Hilbert spaces, field computation provides a common language for quantum computation and neural information processing, and thus for quantum-inspired computational intelligence. This chapter presents the mathematical foundations of field computation, basic field transformations, examples ...

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