Skip to main content

The Quantum Fourier Transform

  • Chapter
  • First Online:
Fourier Analysis on Finite Abelian Groups

Part of the book series: Applied and Numerical Harmonic Analysis ((ANHA))

  • 1494 Accesses

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.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 49.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 64.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Bao Luong .

Rights and permissions

Reprints and permissions

Copyright information

© 2009 Birkhäuser Boston

About this chapter

Cite this chapter

Luong, B. (2009). The Quantum Fourier Transform. In: Fourier Analysis on Finite Abelian Groups. Applied and Numerical Harmonic Analysis. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4916-6_8

Download citation

Publish with us

Policies and ethics