28,584 research outputs found
Reflection Equivariant Quantum Neural Networks for Enhanced Image Classification
Machine learning is among the most widely anticipated use cases for near-term
quantum computers, however there remain significant theoretical and
implementation challenges impeding its scale up. In particular, there is an
emerging body of work which suggests that generic, data agnostic quantum
machine learning (QML) architectures may suffer from severe trainability
issues, with the gradient of typical variational parameters vanishing
exponentially in the number of qubits. Additionally, the high expressibility of
QML models can lead to overfitting on training data and poor generalisation
performance. A promising strategy to combat both of these difficulties is to
construct models which explicitly respect the symmetries inherent in their
data, so-called geometric quantum machine learning (GQML). In this work, we
utilise the techniques of GQML for the task of image classification, building
new QML models which are equivariant with respect to reflections of the images.
We find that these networks are capable of consistently and significantly
outperforming generic ansatze on complicated real-world image datasets,
bringing high-resolution image classification via quantum computers closer to
reality. Our work highlights a potential pathway for the future development and
implementation of powerful QML models which directly exploit the symmetries of
data.Comment: 7 pages, 6 figure
Quantum Computing and Nuclear Magnetic Resonance
Quantum information processing is the use of inherently quantum mechanical
phenomena to perform information processing tasks that cannot be achieved using
conventional classical information technologies. One famous example is quantum
computing, which would permit calculations to be performed that are beyond the
reach of any conceivable conventional computer. Initially it appeared that
actually building a quantum computer would be extremely difficult, but in the
last few years there has been an explosion of interest in the use of techniques
adapted from conventional liquid state nuclear magnetic resonance (NMR)
experiments to build small quantum computers. After a brief introduction to
quantum computing I will review the current state of the art, describe some of
the topics of current interest, and assess the long term contribution of NMR
studies to the eventual implementation of practical quantum computers capable
of solving real computational problems.Comment: 8 pages pdf including 6 figures. Perspectives article commissioned by
PhysChemCom
New Trends in Quantum Computing
Classical and quantum information are very different. Together they can
perform feats that neither could achieve alone, such as quantum computing,
quantum cryptography and quantum teleportation. Some of the applications range
from helping to preventing spies from reading private communications. Among the
tools that will facilitate their implementation, we note quantum purification
and quantum error correction. Although some of these ideas are still beyond the
grasp of current technology, quantum cryptography has been implemented and the
prospects are encouraging for small-scale prototypes of quantum computation
devices before the end of the millennium.Comment: 8 pages. Presented at the 13th Symposium on Theoretical Aspects of
Computer Science, Grenoble, 22 February 1996. Will appear in the proceedings,
Lecture Notes in Computer Science, Springer-Verlag. Standard LaTeX. Requires
llncs.sty (included
NMR Quantum Computation
In this article I will describe how NMR techniques may be used to build
simple quantum information processing devices, such as small quantum computers,
and show how these techniques are related to more conventional NMR experiments.Comment: Pedagogical mini review of NMR QC aimed at NMR folk. Commissioned by
Progress in NMR Spectroscopy (in press). 30 pages RevTex including 15 figures
(4 low quality postscript images
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