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MATH 521

Introduction to Quantum Computation

Quantum computation rebuilds the idea of "computing" on top of quantum mechanics, so the course is really about learning to think in state vectors and unitaries instead of bits and gates, and seeing where that shift actually buys you something. You will spend a lot of time pushing Dirac notation around — proving Bell inequalities, working out teleportation and superdense coding by hand, and tracing through the circuits behind Deutsch, Grover, and Shor to see exactly where the speedup comes from. Linear algebra and some comfort with proofs are the real prerequisites; what you learn here feeds directly into quantum information, cryptography, and complexity-theory courses, and is increasingly the baseline literacy for anyone touching quantum hardware or algorithms research.

Credit3ECTS5FacultyFaculty of ScienceBölümMathematics

Önerilen kaynaklar 1 kitap

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Zorunlu
Quantum Computation and Quantum Information
Michael A. Nielsen and Isaac L. Chuang
10th Anniversary edition · Cambridge University Press

Haftalık müfredat 14 hafta

Hafta 1
Dirac notation, Inner product spaces, Linear operators
Hafta 2
Eigenvectors and eigenvalues, Polar and singular value decomposition
Hafta 3
Postulates of quantum mechanics, quantum measurements
Hafta 4
Applications: teleportation and superdense coding, density operators
Hafta 5
Schmidt decomposition, Bell inequalities
Hafta 6
Models of computation: Turing machines, circuits
Hafta 7
Computational complexity
Hafta 8
Quantum circuits: Single qubit operations, controlled operations
Hafta 9
Universal quantum gates
Hafta 10
Quantum algorithms: Deutsch’s algorithm
Hafta 11
Fourier transform, Phase estimation
Hafta 12
Order-finding, Shor’s factoring algorithm
Hafta 13
Period-finding, discrete logarithms
Hafta 14
Quantum search algorithms: Grover’s algorithm

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