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Exploring symmetric cones with quantum by Kathleen M. Jimenez

Exploring symmetric cones with quantum

by Kathleen M. Jimenez
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Book cover type: Paperback
  • ISBN13: 9785396844575
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Anjum Publishers
  • Publisher Imprint: Anjum Publishers
  • Publication Date:
  • Pages: 198
  • Original Price: USD 30.0
  • Language: English
  • Edition: N/A
  • Item Weight: 273 grams
  • BISAC Subject(s): Physics / Quantum Theory

Quantum algorithms for optimization often achieve speedups in the problem dimension. Yet, their error dependence and sensitivity to scale makes it challenging to identify broad classes of optimization problems for which thei r is a clear advantage over classical algorithms. This

dissertation is comprisedof multiple projects spanning three parts that seek to reducethis gap. Part I concerns quantum linear algebra. We provide a construction for implementing matrix arithmetic operations, such as Kronecker and Hadamard products, on a quantum computer. Then,

we demonstrate how Iterat ive Refinement can be leveraged to exponentialy improve the dependence on precision in the overall running time associated with classicaly solving linear systems of equations using quantum computers.


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