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The Quantum Fourier Transform

  • Bao Luong
Chapter
Part of the Applied and Numerical Harmonic Analysis book series (ANHA)

Abstract

The FT has many applications, particularly in the fields of quantum computation and quantum information. In these fields, the FT is often called the quantum Fourier transform. Traditionally, notation used in quantum physics (i.e., the Dirac notation) to denote vectors is different from that used in mathematics. In this chapter, we introduce the Dirac notation and describe the FT in terms of the new notation.

Keywords

Abelian Group Quantum Computation Quantum Algorithm Quantum Circuit Nonzero Vector 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Birkhäuser Boston 2009

Authors and Affiliations

  1. 1.Department of DefenseWashington

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