Quantum Mechanics And Algorithms: An Algebraic-geometric Perspective
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A01=Yair Shapira
Algorithm
Angular
Artificial Intelligence
Author_Yair Shapira
Boson
Category=PHQ
Category=PHU
Commutator
Cryptography
Dynamics
Electromagnetic
Electron
Energy
Entanglement
Entropy
EPR
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Error Correction
Factoring
Feynman
FFT
Field Theory
Fourier Transform
Frequency
Image Processing
Interference
Level
Machine Learning
Magnetic
Momentum
Non-determinism
Non-deterministic
Particle
Phase
Phaseshift
Photon
Polarisation
Prime Number
Quantum
Quantum Algorithms
Quantum Information
Quantum Mechanics
Quantum Theory
Random
Shor
Spin
State
Thermion
Uncertainty
Wave Function
Product details
- ISBN 9789819824588
- Publication Date: 13 Apr 2026
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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This book introduces quantum mechanics from an algebraic-geometrical point of view. This puts quantum mechanics quite firmly on top of three mathematical legs: linear algebra, calculus, and geometry. Thanks to the new geometrical picture, physics follows naturally from math. Not only that: quantum mechanics is well-embedded in science and technology. For example, the book uses quantum mechanics to develop quantum algorithms, including quantum FFT and Shor's factoring algorithm in cryptography. After introducing quantum mechanics from scratch, the discussion follows to entropy with a focus on entanglement entropy. Moreover, the algebraic study of angular momentum and energy helps analyse spin and polarization alike. Next, the book introduces algorithms in cryptography, where quantum algorithms are particularly relevant. Finally, Feynman diagrams are also introduced from an algebraic perspective. The book ends with examples of how practical algorithms are programmed on the computer.
