"Thinking Quantum": Lectures on Quantum Theory

Fuente: arXiv
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Autore principale: Shoshany, Barak
Natura: Preprint
Pubblicazione: 2018
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author Shoshany, Barak
author_facet Shoshany, Barak
contents We present a conceptually clear introduction to quantum theory, deriving the theory from scratch from the point of view of quantum information. Different subsets of these lectures were taught to a wide variety of audiences, including exceptional high-school students in the International Summer School for Young Physicists (ISSYP) at Perimeter Institute, 2nd-year physics undergraduates at the University of Toronto, and 4th-year physics and math undergraduate and graduate students at Brock University. The lectures are completely self-contained, including all the necessary mathematical background: complex numbers, linear algebra, and probability theory. They cover topics such as the axioms of quantum theory, qubits, superposition, entanglement, the uncertainty principle, quantum gates, unitary transformations and evolution, interpretations of quantum mechanics, the no-cloning theorem, quantum teleportation, quantum algorithms, Hamiltonians, the Schrodinger equation, canonical and path integral quantization, quantum harmonic oscillators, wavefunctions, and much more. The lectures also contain 163 computational exercises and proof-based problems.
format Preprint
id arxiv_https___arxiv_org_abs_1803_07098
institution arXiv
publishDate 2018
record_format arxiv
spellingShingle "Thinking Quantum": Lectures on Quantum Theory
Shoshany, Barak
Popular Physics
Quantum Physics
We present a conceptually clear introduction to quantum theory, deriving the theory from scratch from the point of view of quantum information. Different subsets of these lectures were taught to a wide variety of audiences, including exceptional high-school students in the International Summer School for Young Physicists (ISSYP) at Perimeter Institute, 2nd-year physics undergraduates at the University of Toronto, and 4th-year physics and math undergraduate and graduate students at Brock University. The lectures are completely self-contained, including all the necessary mathematical background: complex numbers, linear algebra, and probability theory. They cover topics such as the axioms of quantum theory, qubits, superposition, entanglement, the uncertainty principle, quantum gates, unitary transformations and evolution, interpretations of quantum mechanics, the no-cloning theorem, quantum teleportation, quantum algorithms, Hamiltonians, the Schrodinger equation, canonical and path integral quantization, quantum harmonic oscillators, wavefunctions, and much more. The lectures also contain 163 computational exercises and proof-based problems.
title "Thinking Quantum": Lectures on Quantum Theory
topic Popular Physics
Quantum Physics
url https://arxiv.org/abs/1803.07098