Data Encoding for VQC in Qiskit, A Comparison With Novel Hybrid Encoding

Abstract

If quantum machine learning emulates the ways of classical machine learning, data encoding in a quantum neural network is imperative for many reasons. One of the key ones is the complexity attributed to the data size depending upon the features and types, which is the essence of machine learning. While the standard various encoding techniques exist for quantum computing, hybrid one is not among many, though it tends to offer some distinct advantages, viz. efficient qubits utilization and increased entanglement, which fits well for variation quantum classifier algorithm by manipulating the essential criteria of ZZFeatureMaps and RealAmplitudes. While Amplitude encoding can turn traits normalized into quantum amplitudes, encoding an angle by using Ry gates to encode feature values into rotation angles, and phase encoding by using Rz gates to encode extra feature information as phase is plausible to combine all together. By combining these three methods, this paper demonstrates that efficient qubit usage is ensured as Amplitude encoding reduces the required qubits, Angle encoding makes state freedom better and is used for expressive encoding, and Phase-based distinction. Finally, using classical optimizers, the hybrid encoding technique through VQC is fit in training and testing using a synthetic dataset, and results have been compared to the standard VQC encoding in qiskit machine learning ecosystems.