Spencer-Wood, H., Jeffers, J. and Croke, S. (2022) Measurement disturbance tradeoffs in three-qubit unsupervised quantum classification. Physical Review A: Atomic, Molecular and Optical Physics, 105(6), 062447. (doi: 10.1103/PhysRevA.105.062447)
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Abstract
We consider measurement disturbance tradeoffs in quantum machine learning protocols which seek to learn about quantum data. We study the simplest example of a binary classification task in the unsupervised regime. Specifically, we investigate how a classification of two qubits, that can each be in one of two unknown states, affects our ability to perform a subsequent classification on three qubits when a third is added. Surprisingly, we find a range of strategies in which a nontrivial first classification does not affect the success rate of the second classification. There is, however, a nontrivial measurement disturbance tradeoff between the success rate of the first and second classifications, and we fully characterize this tradeoff analytically.
Item Type: | Articles |
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Additional Information: | The authors acknowledge The Engineering and Physical Sciences Research Council and the UK National Quantum Technologies Programme via the QuantIC Quantum Imaging Hub (EP/T00097X/1). Sarah Croke is supported by a Leverhulme Fellowship (RF-2020-397). |
Status: | Published |
Refereed: | Yes |
Glasgow Author(s) Enlighten ID: | Spencer-Wood, Mr Hector and Croke, Dr Sarah |
Authors: | Spencer-Wood, H., Jeffers, J., and Croke, S. |
College/School: | College of Science and Engineering > School of Mathematics and Statistics College of Science and Engineering > School of Physics and Astronomy |
Journal Name: | Physical Review A: Atomic, Molecular and Optical Physics |
Publisher: | American Physical Society |
ISSN: | 2469-9926 |
ISSN (Online): | 2469-9934 |
Published Online: | 27 June 2022 |
Copyright Holders: | Copyright © 2022 American Physical Society |
First Published: | First published in Physical Review A: Atomic, Molecular and Optical Physics 105(6): 062447 |
Publisher Policy: | Reproduced in accordance with the publisher copyright policy |
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