Experimental demonstration of a quantum generative adversarial network for continuous distributions

The potential advantage of machine learning in quantum computers is a topic of intense discussion in the literature. Theoretical, numerical and experimental explorations will most likely be required to understand its power. There has been different algorithms proposed to exploit the probabilistic nature of variational quantum circuits for generative modelling. In this paper, we employ a hybrid architecture for quantum generative adversarial networks (QGANs) and study their robustness in the presence of noise. We devise a simple way of adding different types of noise to the quantum generator circuit, and numerically simulate the noisy hybrid QGANs to learn continuous probability distributions, and show that the performance of HQGANs remain unaffected. We also investigate the effect of different parameters on the training time to reduce the computational scaling of the algorithm and simplify its deployment on a quantum computer. We then perform the training on Rigetti's Aspen-4-2Q-A quantum processing unit, and present the results from the training. Our results pave the way for experimental exploration of different quantum machine learning algorithms on noisy intermediate scale quantum devices.

[1]  W. Marsden I and J , 2012 .

[2]  Jos'e I. Latorre,et al.  Data re-uploading for a universal quantum classifier , 2019, Quantum.

[3]  P. Alam ‘A’ , 2021, Composites Engineering: An A–Z Guide.

[4]  Maria Schuld,et al.  Quantum Machine Learning in Feature Hilbert Spaces. , 2018, Physical review letters.

[5]  Giacomo Nannicini,et al.  Improving Variational Quantum Optimization using CVaR , 2019, Quantum.

[6]  P. Alam ‘L’ , 2021, Composites Engineering: An A–Z Guide.

[7]  Kunal Sharma,et al.  Noise resilience of variational quantum compiling , 2019, New Journal of Physics.

[8]  Sungwon Kim,et al.  Generative Adversarial Networks for Crystal Structure Prediction , 2020, ACS central science.

[9]  W. Hager,et al.  and s , 2019, Shallow Water Hydraulics.

[10]  Jiangping Hu,et al.  Learning and Inference on Generative Adversarial Quantum Circuits , 2018, Physical Review A.

[11]  Ryan Babbush,et al.  The theory of variational hybrid quantum-classical algorithms , 2015, 1509.04279.

[12]  Peter J. Karalekas,et al.  A quantum-classical cloud platform optimized for variational hybrid algorithms , 2020, Quantum Science and Technology.

[13]  Alán Aspuru-Guzik,et al.  A variational eigenvalue solver on a photonic quantum processor , 2013, Nature Communications.

[14]  B. Selman,et al.  Artificial intelligence for materials discovery , 2019, MRS Bulletin.

[15]  Simone Severini,et al.  Hierarchical quantum classifiers , 2018, npj Quantum Information.

[16]  Stefan Woerner,et al.  Quantum Generative Adversarial Networks for learning and loading random distributions , 2019, npj Quantum Information.

[17]  Alán Aspuru-Guzik,et al.  Quantum autoencoders for efficient compression of quantum data , 2016, 1612.02806.

[18]  M. Schuld,et al.  Circuit-centric quantum classifiers , 2018, Physical Review A.

[19]  Nathan Killoran,et al.  Quantum generative adversarial networks , 2018, Physical Review A.

[20]  Alán Aspuru-Guzik,et al.  Deep learning enables rapid identification of potent DDR1 kinase inhibitors , 2019, Nature Biotechnology.

[21]  Seth Lloyd,et al.  Quantum Generative Adversarial Learning. , 2018, Physical review letters.

[22]  Tom White,et al.  Generative Adversarial Networks: An Overview , 2017, IEEE Signal Processing Magazine.

[23]  Thomas de Quincey [C] , 2000, The Works of Thomas De Quincey, Vol. 1: Writings, 1799–1820.

[24]  J. Gambetta,et al.  Hardware-efficient variational quantum eigensolver for small molecules and quantum magnets , 2017, Nature.

[25]  장윤희,et al.  Y. , 2003, Industrial and Labor Relations Terms.

[26]  Austin G. Fowler,et al.  Surface code with decoherence: An analysis of three superconducting architectures , 2012, 1210.5799.

[27]  Jacob biamonte,et al.  Quantum machine learning , 2016, Nature.

[28]  J. Carter,et al.  Hybrid Quantum-Classical Hierarchy for Mitigation of Decoherence and Determination of Excited States , 2016, 1603.05681.

[29]  K. Birgitta Whaley,et al.  Towards quantum machine learning with tensor networks , 2018, Quantum Science and Technology.

[30]  H. Neven,et al.  Characterizing quantum supremacy in near-term devices , 2016, Nature Physics.

[31]  D Zhu,et al.  Training of quantum circuits on a hybrid quantum computer , 2018, Science Advances.

[32]  Shu-Hao Wu,et al.  Quantum generative adversarial learning in a superconducting quantum circuit , 2018, Science Advances.

[33]  Keisuke Fujii,et al.  Quantum circuit learning , 2018, Physical Review A.

[34]  Geoff J Pryde,et al.  Experimental Realization of a Quantum Autoencoder: The Compression of Qutrits via Machine Learning. , 2018, Physical review letters.

[35]  John Preskill,et al.  Quantum Computing in the NISQ era and beyond , 2018, Quantum.

[36]  Ching-Hsing Yu,et al.  SciNet: Lessons Learned from Building a Power-efficient Top-20 System and Data Centre , 2010 .

[37]  Robert Gardner,et al.  Quantum generalisation of feedforward neural networks , 2016, npj Quantum Information.

[38]  Alán Aspuru-Guzik,et al.  Inverse molecular design using machine learning: Generative models for matter engineering , 2018, Science.