A continuous variable born machine

Ieva Čepaitė, Brian Coyle, Elham Kashefi

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Abstract

Generative modelling has become a promising use case for near-term quantum computers. Due to the fundamentally probabilistic nature of quantum mechanics, quantum computers naturally model and learn probability distributions, perhaps more efficiently than can be achieved classically. The quantum circuit Born machine is an example of such a model, easily implemented on near-term quantum computers. However, the Born machine was originally defined to naturally represent discrete distributions. Since probability distributions of a continuous nature are commonplace in the world, it is essential to have a model which can efficiently represent them. Some proposals have been made in the literature to supplement the discrete Born machine with extra features to more easily learn continuous distributions; however, all invariably increase the resources required. In this work, we discuss the continuous variable Born machine, built on the alternative architecture of continuous variable quantum computing, which is much more suitable for modelling such distributions in a resource-minimal way. We provide numerical results indicating the model’s ability to learn both quantum and classical continuous distributions, including in the presence of noise.

Original languageEnglish
Article number6
Number of pages14
JournalQuantum Machine Intelligence
Volume4
Early online date15 Mar 2022
DOIs
Publication statusE-pub ahead of print - 15 Mar 2022

Keywords

  • continuous variable
  • quantum information
  • born machine
  • generative modelling
  • continuous probability distributions

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