Download Quantum Computation and Quantum Information - Video

NPTEL Syllabus
Quantum Computation and
Quantum Information - Video
course
NPTEL
COURSE OUTLINE
This is an introductory course in quantum computation and quantum
information aimed at postgraduate as well as senior undergraduate
students from various streams of science and engineering.
http://nptel.iitm.ac.in
Physics
Staring with introduction to quantum mechanics the course will
develop the subject of quantum computation and quantum
information from the basics.
Q u a n tu m algorithms, quantum cryptography, quantum error
correction and aspects of quantum entanglement theory will be Pre-requisites:
covered.
Some knowledge or Quantum Mechanics and /or
Linear algebra will be useful.
COURSE DETAIL
A video course shall consist of 40 or more lectures with 1hr duration
per lecture.
Sl.No.
1.
Topic/s
Introduction:
Introducing quantum mechanics.
Quantum kinematics, quantum dynamics,
quantum measurements.Single qubit,
multiqubits, gates. Density operators,
pure and mixed states, quantum
operations, environmental effect,
decoherence. Quantum no-cloning,
quantum teleportation.
2.
4
Quantum Algorithm:
Introduction to quantum algorithms.
Deutsch-Jozsa algorithm, Grover's
quantum search algorithm, Simon's
algorithm. Shor's quantum factorization
algorithm.
4.
8
Quantum Cryptography:
Cryptography, classical cryptography,
introduction to quantum cryptography.
BB84, B92 protocols. Introduction to
security proofs for these protocols.
3.
No. of
Lectures
(1hr each)
Error Correction:
10
Hyperlinks:
http://www.theory.caltech.edu/people/preskill/ph229/
Coordinators:
Dr. Arvind
Department of PhysicsIISER Mohali
Errors and correction for errors. Simple
examples of error correcting codes in
classical computation.
6
Linear codes. Quantum error correction
and simple examples. Shor code.
5.
Quantum Entanglement:
Quantum correlations, Bell's inequalities,
EPR paradox.
8
Theory of quantum entanglement.
Entanglement of pure bipartite states.
Entanglement of mixed states. Peres
partial transpose criterion. NPT and PPT
states, bound entanglement,
entanglement witnesses.
6.
Implementations:
Different implementations of quantum
computers. NMR and ensemble quantum
computing, Ion trap implementations.
Optical implementations.
4
References:
Quantum Computation and Quantum Information, M.A. Nielsen and
I.L.Chuang, Cambridge University Press 2000.
A joint venture by IISc and IITs, funded by MHRD, Govt of India
http://nptel.iitm.ac.in