Physics of Quantum Information (Q1) ( efterår 2011 - 5 ECTS )
Rammer for udbud
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Uddannelsessprog:
engelsk
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Niveau:
Graduate course
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Semester/kvarter:
1st quarter
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Timer per uge:
4
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Deltagerbegrænsning:
None
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Undervisningssted:
Århus
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Hovedområde:
Det Naturvidenskabelige Fakultet
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Udbud ID:
34493
Formål
The lecture will lay the foundations for the physics of quantum information theory and provide the basis for more specialized courses. In particular it will provide useful tools to understand the research in the field of quantum computing and information theory. This course will be a practical application of Quantum mechanics and Linear algebra. It would help the students understand the differences between the physics of classical and quantum methods of computing and information theory.
Indhold
The first part of the lecture for which assignments are given will contain:
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Introduction: Moore's law, Emergence of quantum behavior, Limitations of classical computing.
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Basics of Quantum Mechanics: Hilbert space, basis states, Operators, transformations, Measurements, Single and multi-qubit states, Density Matrices, Entanglement.
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Gates (Classical vs Quantum): Single (qu)bit gates, Multi-(qu)bit gates, Universal set of gates.
The second part of the lecture will describe the non-classical features of Quantum Information theory and their practical realization
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Only Quantum: No cloning theorem, Bells theorem, Teleportation.
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Quantum Algorithms: Deutsch Jozsa algorithm, Grover's search algorithm, Shor's Factorization algorithm.
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Error correction: Sources of error, Quantum error correction, Fault tolerant computing.
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Experimental implementations: NMR, Ion trap (Guest lecture), Rydberg atoms (Guest lecture).
Faglige forudsætninger
Underviser
Durga B Rao Dasari and Brian Mischuck.
Undervisnings- og arbejdsform
4 lecture hours pr week
Litteratur
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Quantum computing and information theory, Nielsen and Chuang, Cambridge University Press
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Scientific papers and handouts.
Eksamensterminer
Exam: 1st quarter
Reesam: arranged with lecturer
Udbyder
Department of Physics and Astronomy
Tilmelding til undervisning
To Marianne Callisen
callisen@phys.au.dk
Særligt om dette kursus
Note:
We would like to draw the attention of students regarding "Quantum Information theory course" (10 ECTS, course code: 31406) given in the computer science department. This course gives deep insight into aspects of Quantum Cryptography and complexity theory, which the physics course will not discuss.
Læringsmål
At the end of the course, the student should be able to:
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Describe quantum states of single and multiple qubits
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Differentiate between entangled and non-entangled states
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Use density matrix representation
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Construct quantum gates for a given task
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Describe nonlocality of quantum states using Bells theorem
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Describe Grovers search algorithm and Shors Factorization algorithm
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Use simple error-correcting models
Studieordning og bedømmelse
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Afhandling + mundtlig, bedømt efter 7-skala med intern censur
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Presentation on assigned scientific paper (25 min) + Homework assignments during first half of the course
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7-point scale and internal evaluator.
