Pseudo quantum advantages in perceptron storage capacity
Abstract
Abstract We investigate a generalized quantum perceptron architecture characterized by an oscillating activation function with a tunable frequency ranging from zero to infinity. Employing analytical techniques from statistical mechanics, we derive the optimal storage capacity and demonstrate that the classical result is recovered in the limit of vanishing frequency. As the frequency increases, however, the architecture exhibits enhanced quantum storage capabilities. Notably, this improvement stems solely from the specific form of the activation function and, in principle, could be emulated within a classical framework. Accordingly, we refer to this enhancement as a pseudo quantum advantage .
Fields of Study & Subjects
stochastic dynamics and bifurcation
Neural Networks and Applications
Quantum Information and Cryptography
Publication details
- Journal / source
- Journal of Physics A Mathematical and Theoretical
- Volume
- 59
- Issue
- 14
- Pages
- 145203–145203
- Publication date
- 24 March 2026
- Language
- EN