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QUANTUM COMPUTING (M2, PhD, Bengtsson)

Lecture Topic : (Computer Theory) QUANTUM  COMPUTING (M2, PhD, Bengtsson)

Prerequisites : Quantum Computing (M1);

Recommended Text(s) :

“Geometry of Quantum States : An Introduction to Quantum Engtanglement”, Ingemar Bengtsson & Karol Zyczkowski Benenti,CambridgeUniversityPress, 2006

Approx price new on Amazon.com (hard copy) : $63

Approx price second hand on Amazon.com (hard copy) : $42

Availability free on eMule.com (e-format) : Yes

eMule search key word(s) : Bengtsson, Geometry Quantum States

Lectures and Links :

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Lecture 1  (link)

Ch.1   Convexity, Colors, and Statistics

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Lecture 2  (link)

Ch.2   Geometry of Probability Distributions

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Lecture 3  (link)

Ch.3   MuchAdoAbout Spheres

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Lecture 4 (link)

Ch.4   Complex Project Spaces

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Lecture 5  (link)

Ch.5   Outline of Quantum Mechanics

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Lecture 6  (link)

Ch.6   Coherent States and Group Actions

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Lecture 7  (link)

Ch.7   The Stellar Represenation

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Lecture 8  (link)

Ch.8   The Space of Density Matrices

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Lecture 9  (link)

Ch.9   Purification of Mixed Quantum States

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Lecture 10  (link)

Ch.10   Quantum Operations

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Lecture 11  (link)

Ch.11   Duality : Maps versus States

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Lecture 12  (link)

Ch.12   Density Matrices and Entropies

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Lecture 13  (link)

Ch.13   Distinguishability Measures

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Lecture 14  (link)

Ch.14   Monotone Metrics and Measures

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Lecture 15  (link)

Ch.15   Quantum Entanglement

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Lecture 16  (link)

Appendix 1 : Basic Notions of Differential Geometry

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Lecture 17  (link)

Appendix 2 : Basic Notions of Group Theory

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Lecture 18  (link)

Appendix 3 : Geometry  : Do It Yourself

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Lecture 19  (link)

Appendix 4 : Hints and Answers to the Exercises

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