Operator Rules, Real Eigenvalues, and Projection Operator

  • Chapter
  • First Online:
Introduction to Quantum Computing
  • 858 Accesses

Abstract

We have learned the basic rules of vector operations. In this chapter, we will study the rules when operators (matrix) are involved. We will also learn the concept of projection operator that can be used to find a certain component of a vector (state). You will further appreciate the power of bra–ket notation in this process.

Supplementary Information The online version contains supplementary material available at https://doi.org/10.1007/978-3-031-36985-8_8

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

Access this chapter

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 44.99
Price excludes VAT (Canada)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 59.99
Price excludes VAT (Canada)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free ship** worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2024 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Wong, H.Y. (2024). Operator Rules, Real Eigenvalues, and Projection Operator. In: Introduction to Quantum Computing. Springer, Cham. https://doi.org/10.1007/978-3-031-36985-8_8

Download citation

  • DOI: https://doi.org/10.1007/978-3-031-36985-8_8

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-36984-1

  • Online ISBN: 978-3-031-36985-8

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Navigation