Quantum Computing and Quantum Physics A Linear Algebra Approach

Quantum Computing and Quantum Physics: A Linear Algebra Approach provides a distinctive and accessible introduction to the rapidly growing fields of quantum information science and quantum computing. While broadly accessible, the textbook does not dodge providing a solid conceptual and formal understanding of quantum states, superposition, and entanglement-the key ingredients in quantum computing. The authors dish up a hearty meal for the readers, disentangling many of the classic quantum algorithms that demonstrate how and when Quantum Computing has an advantage over classical computers. The book includes pedagogical features such as 'Try It' boxes, brief exercises that engage the readers and help them digest the many counter-intuitive quantum information science and quantum computing concepts. Self-contained chapters on time dependence in quantum mechanics, magnetic resonance, density matrices, the simple harmonic oscillator, quantum perturbation theory, and number operators provide a basis for further reading and work in quantum information science and quantum computing. Aimed at undergraduate students with little or no background in physics, but with some familiarity with linear algebra, the book will also appeal to higher education faculty members and secondary school mathematics, physics, and computer science educators who want to learn about quantum computing and perhaps teach a course accessible to students with wide ranging backgrounds.

1 - Introduction
2 - Traditional Computing
3 - Traditional Bits in New Clothing
4 - Qubits and Quantum States
5 - Quantum Measurements
6 - Quantum Gates and Quantum Circuits
7 - Putting a Spin on Spin
8 - My Basis, Your Basis
9 - Multi-Qubit Systems, Entanglement, and Quantum Weirdness
10 - Quantum Circuits and Multi-Qubit Applications
11 - Quantum Computing Algorithms
12 - More Quantum Algorithms
13 - Error Correction
14 - RSA Encryption and Number Theory
15 - Shor Factoring Algorithm and the Quantum Fourier Transform
16 - Programming Quantum Computers
17 - Fundamental Quantum Issues
18 - Quantum State Time Dependence
19 - Magnetic Precession and Resonance for a Spin-½ System
20 - Number Operators and Number States
21 - Momentum and Position Operators and the Simple Harmonic Oscillator
22 - Density Operators and Density Matrices
23 - Quantum Perturbation Theory
24 - Present and Future QIS and QC

Alice Flarend, a former nuclear engineer, earned a PhD in Curriculum and Instruction from the Pennsylvania State University and has been a high school physics teacher for 30 years. She was awarded AAPT's Paul W. Zitzewitz Excellence in K-12 Teaching Award in 2023. Her research interests include making quantum physics accessible to the K-12 classroom and how teachers learn new content and pedagogy, especially in creating a discourse rich classroom. Dr Flarend has two decades of experience providing teacher professional development in physics including classical, nuclear and quantum physics. Robert Hilborn received his PhD in physics from Harvard University in 1971. He served as a physics faculty member at Oberlin College, Amherst College, the University of Nebraska-Lincoln, and the University of Texas at Dallas. He has had many decades of experience doing quantum physics research in atomic, molecular, and optical physics and teaching quantum mechanics to undergraduate students. He is author of Chaos and Nonlinear Dynamics: An Introduction for Scientists and Engineers (OUP 1994). He recently retired as the Associate Executive Officer of the American Association of Physics Teachers, where he was principal investigator for several nation-wide physics education projects funded by the National Science Foundation.