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Quantum Error Correction Fault Tolerance Quantum Machine Learning

Physical Computing: A Category Theoretic Perspective on Physical Computation and System Compositionality

arXiv
Authors: Nima Dehghani, Gianluca Caterina

Year

2022

Paper ID

58757

Status

Preprint

Abstract Read

~2 min

Abstract Words

85

Citations

N/A

Abstract

This paper introduces a category theory-based framework to redefine physical computing in light of advancements in quantum computing and non-standard computing systems. By integrating classical definitions within this broader perspective, the paper rigorously recontextualizes what constitutes physical computing devices and processes. It demonstrates how the compositional nature and relational structures of physical computing systems can be coherently formalized using category theory. This approach not only encapsulates recent formalisms in physical computing but also offers a structured method to explore the dynamic interactions within these systems.

Why This Paper Matters

  • This paper contributes to the Quantum Machine Learning research area in the Quantum Articles archive.
  • It adds a 2022 reference point for readers tracking recent quantum research.
  • This paper introduces a category theory-based framework to redefine physical computing in light of advancements in quantum computing and non-standard computing systems.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2210.00392 [2] arXiv https://arxiv.org/abs/2210.00392 [3] Publisher https://arxiv.org/abs/2210.00392

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