Skip to main content Accessibility help

We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.

Close cookie message
×
  1. Home
  2. Search

Refine search

Refine search

Access:
Content type:
Publication date:
Apply   From and To filters
Subject: Show more
Journals Show more
Publishers: Show more
Societies Show more
Series: Show more
Collections: Show more

Actions for selected content:

Select all | Deselect all
  • View selected items
  • Export citations
  • Download PDF (zip)
  • Save to Kindle
  • Save to Dropbox
  • Save to Google Drive

Save Search

You can save your searches here and later view and run them again in "My saved searches".

Please provide a title, maximum of 40 characters.
Cancel
×

2 results

  • 2 - Review of Quantum Mechanics for Quantum Computing

  • Shayan Majidy, Harvard University, Massachusetts, Christopher Wilson, University of Waterloo, Ontario, Raymond Laflamme, University of Waterloo, Ontario
  • Book:
    Building Quantum Computers
    Published online:
    29 November 2024
    Print publication:
    11 July 2024, pp 12-46

  • Summary

    Chapter 2 serves as a primer on quantum mechanics tailored for quantum computing. It reviews essential concepts such as quantum states, operators, superposition, entanglement, and the probabilistic nature of quantum measurements. This chapter focuses on two-level quantum systems (i.e. qubits). Mathematical formulations that are specific to quantum mechanics are introduced, such as Dirac (bra–ket) notation, the Bloch sphere, density matrices, and Kraus operators. This provides the reader with the necessary tools to understand quantum algorithms and the behaviour of quantum systems. The chapter concludes with a review of the quantum harmonic oscillator, a model to describe quantum systems that are complementary to qubits and used in some quantum computer implementations.

  • 4 - Averaging

  • Chris Godsil, University of Waterloo, Ontario, Hanmeng Zhan, Simon Fraser University, British Columbia
  • Book:
    Discrete Quantum Walks on Graphs and Digraphs
    Published online:
    23 December 2022
    Print publication:
    12 January 2023, pp 41-58

  • Summary

    The axioms of quantum physics imply that in general it makes no sense to speak of the long-term behaviour of a quantum walk. In this chapter we introduce a process that allows us to develop a meaningful substitute for a simple average.