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Quantum Computation >> Content Detail



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Readings

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The readings are in Amazon logo Nielsen, Michael A., and Isaac L. Chuang. Quantum Computation and Quantum Information. Cambridge, UK: Cambridge University Press, September 2000. ISBN: 9780521635035, unless otherwise noted. I will try to announce the chapters of Nielsen and Chuang that contain most of the material we're covering here. I'm not following the book exactly, so I may skip over some material from these chapters, and may include some extra material, but for those who want to look at the textbook before class, this will give an idea of what I'll be covering. Scribe notes to many of the lectures are available.
 

Lec #TOPICSREADINGS
1Introduction and Overview
2Basics of Quantum MechanicsSections 2.1, 2.2
3More Basics of Quantum MechanicsSections 2.2, 2.6
4Classical Computation Models and Quantum GatesSections 3.1, 3.2.5, 4.2-4.6
5Quantum Circuits and a Simple Quantum AlgorithmSections 4.2-4.6, 1.4-1.4.4
6More on Quantum CircuitsSections 5.1-5.4
7Simon's algorithmSections 5.1-5.4
8FactoringSections 5.1-5.4
9More on FactoringSections 5.1-5.4
10Grover's search algorithmSection 6
11Applications of Grover's Search AlgorithmSection 6
12Superdense Coding and Quantum TeleportationSections 1.3.6, 1.3.7, 2.3
13Quantum Computation Models
14Cluster StatesThis material (some of it presented differently) can be found in Measurement-based quantum computation with cluster states by R. Raussendorf, D.E. Browne, H.J. Briegel.
15More on Computing with Cluster States
16Quantum Error Correction10.1-10.2, 10.3.1
17Quantum MechanicsNow, we have to go back to tell you more about quantum mechanics. This is so we can deal with noise in quantum error correcting codes. In several lectures, we will cover 2.4, 2.5, 8.1, 8.2.
18More on Quantum MechanicsWe'll talk about Hamiltonians, how to get unitary transformations, and the harmonic oscillator.
19Guest Lecture by Isaac Chuang on Implementations of Quantum ComputingIsaac Chuang will talk about Implementations of Quantum Computing: How to Build your Own Quantum Computer.
20Quantum CSS Codes10.4, 10.3.3
21More on Quantum Error Correcting Codes
22Quantum Cryptography12.6
23Fault-Tolerant Quantum Computation10.6

 








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