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9. Qubits, Quantum Registers, and Quantum Gates

  • 2026
  • OriginalPaper
  • Chapter
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Abstract

This chapter delves into the core components of quantum computing: qubits, quantum registers, and quantum gates. Qubits, the quantum analog of classical bits, can exist in a superposition of states, enabling quantum computers to perform complex calculations more efficiently. Quantum registers, composed of multiple qubits, allow for the representation and manipulation of quantum data. Quantum gates, the building blocks of quantum circuits, perform operations on qubits, with some gates having no classical counterpart. The text also explores the physical realization of qubits, the concept of qudits, and the practical implementation of quantum gates in different hardware architectures. It concludes with a discussion on the universality of quantum gates and the Solovay–Kitaev theorem, which shows that any arbitrary quantum gate can be approximated using a universal gate set.

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Title
Qubits, Quantum Registers, and Quantum Gates
Authors
Osama M. Raisuddin
Suvranu De
Copyright Year
2026
DOI
https://doi.org/10.1007/978-3-032-03325-3_9
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