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Quantum Information and Computing for Beginners : Basics of Qubit Transformations and Quantum Algorithms

Dhingra, Archit LU (2025) In Quantum Information and Computation 26(1). p.773-783
Abstract

Quantum information and quantum computing are based on the concept and manipulation of qubits. In this pedagogical Tutorial-written with the aim of assisting self-motivated undergraduate mathematics, physics, and engineering students-transformation of these qubits, especially the Hadamard transformation (H) and the phase shifter transformation (φ), is illustrated. Two-qubit gates and their application in production of entangled states, along with quantum algorithms (including Deutsch-Jozsa algorithm), are included as well. With 2025 being declared as the International Year of Quantum Science and Technology (IYQ) by the United Nations General Assembly (UNGA), under the leadership of United Nations Educational, Scientific and Cultural... (More)

Quantum information and quantum computing are based on the concept and manipulation of qubits. In this pedagogical Tutorial-written with the aim of assisting self-motivated undergraduate mathematics, physics, and engineering students-transformation of these qubits, especially the Hadamard transformation (H) and the phase shifter transformation (φ), is illustrated. Two-qubit gates and their application in production of entangled states, along with quantum algorithms (including Deutsch-Jozsa algorithm), are included as well. With 2025 being declared as the International Year of Quantum Science and Technology (IYQ) by the United Nations General Assembly (UNGA), under the leadership of United Nations Educational, Scientific and Cultural Organization (UNESCO), the timeliness and relevance of this Tutorial, in order to nudge the budding researchers in the "quantum"direction, cannot be emphasized enough.

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Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Bloch sphere, Hilbert space, quantum algorithm, quantum entanglement, quantum parallelism, succinct quantum computing tutorial for university students
in
Quantum Information and Computation
volume
26
issue
1
pages
11 pages
publisher
Paradigm Publishing Services
external identifiers
  • scopus:105033588607
ISSN
1533-7146
DOI
10.2478/qic-2025-0040
language
English
LU publication?
yes
id
e471a550-9dae-4211-bcb4-922bfd543377
date added to LUP
2026-04-30 12:55:54
date last changed
2026-06-25 17:04:25
@article{e471a550-9dae-4211-bcb4-922bfd543377,
  abstract     = {{<p>Quantum information and quantum computing are based on the concept and manipulation of qubits. In this pedagogical Tutorial-written with the aim of assisting self-motivated undergraduate mathematics, physics, and engineering students-transformation of these qubits, especially the Hadamard transformation (H) and the phase shifter transformation (φ), is illustrated. Two-qubit gates and their application in production of entangled states, along with quantum algorithms (including Deutsch-Jozsa algorithm), are included as well. With 2025 being declared as the International Year of Quantum Science and Technology (IYQ) by the United Nations General Assembly (UNGA), under the leadership of United Nations Educational, Scientific and Cultural Organization (UNESCO), the timeliness and relevance of this Tutorial, in order to nudge the budding researchers in the "quantum"direction, cannot be emphasized enough.</p>}},
  author       = {{Dhingra, Archit}},
  issn         = {{1533-7146}},
  keywords     = {{Bloch sphere; Hilbert space; quantum algorithm; quantum entanglement; quantum parallelism; succinct quantum computing tutorial for university students}},
  language     = {{eng}},
  number       = {{1}},
  pages        = {{773--783}},
  publisher    = {{Paradigm Publishing Services}},
  series       = {{Quantum Information and Computation}},
  title        = {{Quantum Information and Computing for Beginners : Basics of Qubit Transformations and Quantum Algorithms}},
  url          = {{http://dx.doi.org/10.2478/qic-2025-0040}},
  doi          = {{10.2478/qic-2025-0040}},
  volume       = {{26}},
  year         = {{2025}},
}