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Home » Basic and Health Sciences » Physics » Quantum Information Science » Quantum Information Science I, Part 2 » Detailed steps of the quantum order finding algorithm

Detailed steps of the quantum order finding algorithm

Course:Quantum Information Science I, Part 2
Discipline:Basic and Health Sciences
Institute:MIT
Instructor(s): Prof. Isaac Chuang, Prof. Peter Shor
Level:Undergraduate

Quantum Information Science I, Part 2

Analysis of Grover's iteration – analytical
Analysis of Simon's algorithm I
Brief introduction to quantum algorithms
Optimality of superdense coding and teleportation
Classical algorithm runtime for Simon's problem
Order finding algorithm measurement result as a geometric sum
Classical algorithm solving Deutsch's problem
Convergence of the continued fractions algorithm within a fininte interval
Phase oracle versus XOR oracle
Detailed steps of the quantum order finding algorithm
Quantum and classical oracles
Deutsch-Jozsa algorithm – introduction and Deutsch's problem
The challenge of quantum simulation – perspective
Efficient modular exponentiation by repeated squaring
Quantum circuits: universal quantum gate families
The contnued fractions algorithm
Quantum interaction-free measurements – bomb detection
The Deutsch algorithm for two-bit functions
Extracting the period using Simon's algorithm
Factoring using the quantum phase estimation algorithm

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