Trainable Discrete Feature Embeddings for Variational Quantum Classifier
arXiv:2106.09415
Abstract
Quantum classifiers provide sophisticated embeddings of input data in Hilbert space promising quantum advantage. The advantage stems from quantum feature maps encoding the inputs into quantum states with variational quantum circuits. A recent work shows how to map discrete features with fewer quantum bits using Quantum Random Access Coding (QRAC), an important primitive to encode binary strings into quantum states. We propose a new method to embed discrete features with trainable quantum circuits by combining QRAC and a recently proposed strategy for training quantum feature map called quantum metric learning. We show that the proposed trainable embedding requires not only as few qubits as QRAC but also overcomes the limitations of QRAC to classify inputs whose classes are based on hard Boolean functions. We numerically demonstrate its use in variational quantum classifiers to achieve better performances in classifying real-world datasets, and thus its possibility to leverage near-term quantum computers for quantum machine learning.
arXiv commentIEEE QCE21 Poster
References in corpus (18)
- Distributed Representations of Words and Phrases and their Compositionality
- Quantum Computing in the NISQ era and beyond
- Quantum Machine Learning
- Quantum algorithm for solving linear systems of equations
- Hardware-efficient Variational Quantum Eigensolver for Small Molecules and Quantum Magnets
- The theory of variational hybrid quantum-classical algorithms
- Quantum machine learning in feature Hilbert spaces
- Quantum Circuit Learning
- Quantum principal component analysis
- Circuit-centric quantum classifiers
- The quest for a Quantum Neural Network
- Entity Embeddings of Categorical Variables
- Quantum Network Coding
- Quantum embeddings for machine learning
- (4,1)-Quantum Random Access Coding Does Not Exist
- Demonstration of quantum volume 64 on a superconducting quantum computing system
- Improved Classical and Quantum Random Access Codes
- Strong supremacy of quantum systems as communication resource