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A continuous variable Born machine

delete2022-03-15
delete5
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OA
AI
I
Ieva Čepaitė *
B
Brian Coyle
E
Elham Kashefi
DOI:10.1007/s42484-022-00063-3delete
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Abstract

Abstract

En 中文
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.
Keywords:
Continuous variable
Quantum information
Born machine
Generative modelling
Continuous probability distributions

Journal

Q
Quantum Machine Intelligence
IF:
4.4
Papers:
453
Citations:
796

Organization

U
university of strathclyde
Scholars:
1.1W
Papers: 1.1W
Citations: 12
U
University of Edinburgh
Scholars:
5.2W
Papers: 4.6W
Citations: 71
Cited Papers

Cited Papers

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err2014-07-23
err2.7K
errOAAI
errPeruzzo, Alberto; McClean, Jarrod; Shadbolt, Peter; Yung, Man-Hong; Zhou, Xiao-Qi; Love, Peter J.; Aspuru-Guzik, Alan; O'Brien, Jeremy L.
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Quantum-assisted quantum compiling
errQUANTUM
IF5.4
err2019-05-13
err243
errOAAI
errKhatri, Sumeet; LaRose, Ryan; Poremba, Alexander; Cincio, Lukasz; SoRnborger, Andrew T.; Coles, Patrick J.
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A generative modeling approach for benchmarking and training shallow quantum circuits
err2019-05-27
err274
errOAAI
errBenedetti, Marcello; Garcia-Pintos, Delfina; Perdomo, Oscar; Leyton-Ortega, Vicente; Nam, Yunseong; Perdomo-Ortiz, Alejandro
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Expressive power of parametrized quantum circuits
err2020-07-22
err174
errOAAI
errDu, Yuxuan; Hsieh, Min-Hsiu; Liu, Tongliang; Tao, Dacheng
errShare
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Fault-Diagnosis Applications
err
IF0
err2011-01-01
err0
PREAI
errRolf Isermann
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Quantum autoencoders for efficient compression of quantum data
err2017-08-18
err356
errOAAI
errRomero, Jonathan; Olson, Jonathan P.; Aspuru-Guzik, Alan
errShare
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