Machine Learning with Quantum Matter: An Example Using Lead Zirconate Titanate
Abstract
Stephen Wolfram (2002) proposed the concept of computational equivalence, which implies that almost any dynamical system can be considered as a computation, including programmable matter and nonlinear materials such as, so called, quantum matter. Memristors are often used in building and evaluating hardware neural networks. Ukil (2011) demonstrated a theoretical relationship between piezoelectrical materials and memristors. We review that work as a necessary background prior to our work on exploring a piezoelectric material for neural network computation. Our method consisted of using a cubic block of unpoled lead zirconate titanate (PZT) ceramic, to which we have attached wires for programming the PZT as a programmable substrate. We then, by means of pulse trains, constructed on-the-fly internal patterns of regions of aligned polarization and unaligned, or disordered regions. These dynamic patterns come about through constructive and destructive interference and may be exploited as a type of reservoir network. Using MNIST data we demonstrate a learning machine.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Oct 03, 2022
- Source ID
- 10.3390/quantum4040030
Entities
People
- Ayush Salik
- Edward Rietman
- Hava T Siegelmann
- Leslie Schuum
- Manor Askenazi
Organizations
- Defense Advanced Research Projects Agency