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8 - Quantum Computing

Published online by Cambridge University Press:  04 August 2022

Juan José García Ripoll
Affiliation:
Instituto de Física Fundamental (IFF), CSIC, Spain
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Summary

We discuss the building blocks of a universal quantum computer within the circuit model of computation and how this is implemented using superconducting quantum circuits. In particular, we discuss, one by one, the creation of quantum registers, resetting of quantum bits, qubit measurements, single-qubit operations, and universal two-qubit gates, and how these are all implemented using the tools from earlier chapters. We discuss how to calibrate the errors in the qubits and in the operations, assigning them complete descriptions via positive maps. We explain how these errors can be corrected and how to implement a fault-tolerant quantum computer, focusing on the paradigm of stabilizer codes and the surface code in particular. We close with a discussion on the outlook for quantum computers in the near term and the NISQ paradigm of computation.

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Chapter
Information
Publisher: Cambridge University Press
Print publication year: 2022

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  • Quantum Computing
  • Juan José García Ripoll
  • Book: Quantum Information and Quantum Optics with Superconducting Circuits
  • Online publication: 04 August 2022
  • Chapter DOI: https://doi.org/10.1017/9781316779460.008
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  • Quantum Computing
  • Juan José García Ripoll
  • Book: Quantum Information and Quantum Optics with Superconducting Circuits
  • Online publication: 04 August 2022
  • Chapter DOI: https://doi.org/10.1017/9781316779460.008
Available formats
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Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Quantum Computing
  • Juan José García Ripoll
  • Book: Quantum Information and Quantum Optics with Superconducting Circuits
  • Online publication: 04 August 2022
  • Chapter DOI: https://doi.org/10.1017/9781316779460.008
Available formats
×