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13. Access Models and Data Representation

  • 2026
  • OriginalPaper
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Abstract

This chapter delves into the intricacies of quantum data representation and access models, focusing on amplitude and phase embedding, as well as sparse access and block-encoding models. It highlights the efficiency of amplitude encoding in representing vectors with fewer qubits compared to classical bits, and the role of oracles in abstracting complex operations. The text also explores the Hermitian dilation trick for encoding non-Hermitian matrices and the decomposition of matrices into Pauli basis terms. Additionally, it discusses the implementation of efficient oracles for practical problems and provides examples of circuits using sparse matrix access models. The chapter concludes with a discussion on the growth of Pauli terms for sparse matrices and the active research in this area.

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Title
Access Models and Data Representation
Authors
Osama M. Raisuddin
Suvranu De
Copyright Year
2026
DOI
https://doi.org/10.1007/978-3-032-03325-3_13
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