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Quantum Information
Discrete Fourier transform and its quantum decomposition
Examples of DFT
Examples of DFT
Conditions d'achèvement
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FourierExamples_Eng.pdf
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◄ Quantum decomposition of the DFT
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Lectures content overview
EPR paper "Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?"
Bohr's reply "Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?"
Some quotes concerning the question of interpretation
An overview of existing interpretations (as of 2016)
A Philosopher Looks at Quantum Mechanics (Again) by Hilary Putnam
Machův-Zehnderův interferometr
Mach-Zehnder Interferometer
Základy komplexní lineární algebry
Basics of Complex Linear Algebra
K Diracově značení
Comments on the Dirac notation
Postuláty kvantové mechaniky
Postulates of Quantum Mechanics
Introduction to tensor products
Deutschův-Jozsův algoritmus
Deutsch-Jozsa algoritm
Reversible computation
Universal set of gates
Shor's factorization algorithm
Continued fractions
Discussion
The Discrete Fourier Transform
Quantum decomposition of the DFT
Discussion
DFT as phase estimation
Complex projective line
The Hopf fibration
Geometry of unitary operators
Quaternions
Extended Euler's formula and the decomposition AXBXC
Trace and positive operators
Description of the BB84 protocol
Mixed states
Quantum entropy
Holevo bound (skipped 2026, replaced by the uncertainty principle))
Composed systems and entropy (Uncertainty principle)
Sheet 1
Sheet 2
Examination topics
Discussion ►