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2 results

  • 1 - Background Material

  • Thomas Vidick, California Institute of Technology, USA, Stephanie Wehner, Delft University of Technology, The Netherlands
  • Book:
    Introduction to Quantum Cryptography
    Published online:
    10 October 2023
    Print publication:
    14 September 2023, pp 1-39

  • Summary

    This chapter introduces the basic mathematical formalism for working with quantum information. We discover qubits, or quantum bits, how to combine them using the tensor product, and how to measure them by choosing a basis. We discuss unitary operations, which are elementary transformations on qubits. The chapter ends with a convenient representation of qubits as vectors on the 3-dimensional Bloch sphere, and a useful “cheat sheet,” which summarizes useful definitions and identities.

  • 3 - Basics of Quantum Theory

  • Mingsheng Ying, University of Technology, Sydney, Yuan Feng, University of Technology, Sydney
  • Book:
    Model Checking Quantum Systems
    Published online:
    14 January 2021
    Print publication:
    04 February 2021, pp 31-49

  • Summary

    This chapter is intended to introduce some basic notions of quantum theory needed in the subsequent chapters for the reader who is not familiar with them. Quantum mechanics is a fundamental physics subject that studies the phenomena at the atomic and subatomic scales. This chapter introduces the required mathematical tools and presents the postulates mainly through their mathematical formalisms. The physics interpretation of these is only very briefly discussed.