Title: Quantum-assisted associative adversarial network: applying quantum annealing in deep learning

Journal Article · · Quantum Machine Intelligence

Abstract Generative models have the capacity to model and generate new examples from a dataset and have an increasingly diverse set of applications driven by commercial and academic interest. In this work, we present an algorithm for learning a latent variable generative model via generative adversarial learning where the canonical uniform noise input is replaced by samples from a graphical model. This graphical model is learned by a Boltzmann machine which learns low-dimensional feature representation of data extracted by the discriminator. A quantum processor can be used to sample from the model to train the Boltzmann machine. This novel hybrid quantum-classical algorithm joins a growing family of algorithms that use a quantum processor sampling subroutine in deep learning, and provides a scalable framework to test the advantages of quantum-assisted learning. For the latent space model, fully connected, symmetric bipartite and Chimera graph topologies are compared on a reduced stochastically binarized MNIST dataset, for both classical and quantum sampling methods. The quantum-assisted associative adversarial network successfully learns a generative model of the MNIST dataset for all topologies. Evaluated using the Fréchet inception distance and inception score, the quantum and classical versions of the algorithm are found to have equivalent performance for learning an implicit generative model of the MNIST dataset. Classical sampling is used to demonstrate the algorithm on the LSUN bedrooms dataset, indicating scalability to larger and color datasets. Though the quantum processor used here is a quantum annealer, the algorithm is general enough such that any quantum processor, such as gate model quantum computers, may be substituted as a sampler.

Sponsoring Organization:
USDOE
OSTI ID:
1786745
Journal Information:
Quantum Machine Intelligence, Journal Name: Quantum Machine Intelligence Journal Issue: 1 Vol. 3; ISSN 2524-4906
Publisher:
Springer Science + Business MediaCopyright Statement
Country of Publication:
Switzerland
Language:
English

References (30)

Minor-embedding in adiabatic quantum computation: II. Minor-universal graph design journal October 2010
Variational quantum Boltzmann machines journal February 2021
A NASA perspective on quantum computing: Opportunities and challenges journal May 2017
A cumulant-based approach for direction finding in the presence of mutual coupling journal November 2014
Mastering the game of Go with deep neural networks and tree search journal January 2016
Quantum machine learning journal September 2017
Quantum sampling problems, BosonSampling and quantum supremacy journal April 2017
Quantum adiabatic Markovian master equations journal December 2012
Adversarial quantum circuit learning for pure state approximation journal April 2019
Opportunities and challenges for quantum-assisted machine learning in near-term quantum computers journal June 2018
Quantum-assisted Helmholtz machines: A quantum–classical deep learning framework for industrial datasets in near-term devices journal May 2018
Quantum variational autoencoder journal September 2018
Parameterized quantum circuits as machine learning models journal October 2019
A path towards quantum advantage in training deep generative models with quantum annealers journal November 2020
Quantum machine learning: a classical perspective
  • Ciliberto, Carlo; Herbster, Mark; Ialongo, Alessandro Davide
  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 474, Issue 2209 https://doi.org/10.1098/rspa.2017.0551
journal January 2018
Near-term quantum-classical associative adversarial networks journal November 2019
Searching for quantum speedup in quasistatic quantum annealers journal November 2015
Estimation of effective temperatures in quantum annealers for sampling applications: A case study with possible applications in deep learning journal August 2016
Power of Pausing: Advancing Understanding of Thermalization in Experimental Quantum Annealers journal April 2019
Optimally Stopped Optimization journal November 2016
Thermalization, Freeze-out, and Noise: Deciphering Experimental Quantum Annealers journal December 2017
Average-Case Complexity Versus Approximate Simulation of Commuting Quantum Computations journal August 2016
Perils of embedding for sampling problems journal April 2020
Photo-Realistic Single Image Super-Resolution Using a Generative Adversarial Network conference July 2017
Image-to-Image Translation with Conditional Adversarial Networks conference July 2017
Generative adversarial networks: introduction and outlook journal January 2017
Defining and detecting quantum speedup journal June 2014
Representational Power of Restricted Boltzmann Machines and Deep Belief Networks journal June 2008
Implementing a distance-based classifier with a quantum interference circuit journal September 2017
Global Warming: Temperature Estimation in Annealers journal November 2016