Quantum field lens coding and classification algorithm to predict measurement outcomes

Philip B Alipour; T Aaron Gulliver

doi:10.1016/j.mex.2023.102136

Quantum field lens coding and classification algorithm to predict measurement outcomes

MethodsX. 2023 Mar 29:10:102136. doi: 10.1016/j.mex.2023.102136. eCollection 2023.

Authors

Philip B Alipour¹, T Aaron Gulliver¹

Affiliation

¹ Department of Electrical and Computer Engineering, University of Victoria, Victoria BC, V8W 2Y2, Canada.

Abstract

This study develops a method to implement a quantum field lens coding and classification algorithm for two quantum double-field (QDF) system models: 1- a QDF model, and 2- a QDF lens coding model by a DF computation (DFC). This method determines entanglement entropy (EE) by implementing QDF operators in a quantum circuit. The physical link between the two system models is a quantum field lens coding algorithm (QF-LCA), which is a QF lens distance-based, implemented on real $N$ -qubit machines. This is with the possibility to train the algorithm for making strong predictions on phase transitions as the shared objective of both models. In both system models, QDF transformations are simulated by a DFC algorithm where QDF data are collected and analyzed to represent energy states and transitions, and determine entanglement based on EE. The method gives a list of steps to simulate and optimize any thermodynamic system on macro and micro-scale observations, as presented in this article:•The implementation of QF-LCA on quantum computers with EE measurement under a QDF transformation.•Validation of QF-LCA as implemented compared to quantum Fourier transform (QFT) and its inverse, QFT $^{- 1}$ .•Quantum artificial intelligence (QAI) features by classifying QDF with strong measurement outcome predictions.

Keywords: N -qubit machines; DF Computation; Entanglement entropy; QDF Lens coding; QDF Transformation; Quantum artificial intelligence; Quantum double-field; Quantum field lens coding and classification (QF-LCC); Quantum fourier transform; Quantum lens distance-based classification.