S03: Quantum Ideas
Course
home page
Course information
Revision class
-
Will take place on Monday 16 June at 11:30 in Audrey Wood (1st
floor Clarendon Labs, meet at reception)
Textbook
-
A.
I. Lvovsky, Quantum
Physics: An Introduction Based on Photons
Additional resources
-
J.
Dunningham and V. Vedral, Introductory
Quantum Mechanics and Relativity
-
V.
Scarani, Six
quantum pieces
-
D.
J. Griffiths, Introduction
to Quantum Mechanics
-
R.
Shankar, Principles
of Quantum Mechanics
-
M.
Nielsen and I. Chuang, Quantum
Computation and Quantum Information
-
IBM quantum computer and tutorials
Instructor
- E-mail: Alex.Lvovsky(at)physics.ox.ac.uk
- Telephone: 01865 272275
- Office: Beecroft 1st floor
- Office hours: By appointment
Study plan
Lecture 1
-
Hilbert
space postulate. Dirac notation. Polarization of light.
-
Secs.
1.1, 1.2, 1.3
, A.1-A.4, C.1-C.3.
-
Supplementary notes Photon polarization practice,
Problem 1.
Lecture 2
-
Measurement
postulate. Polarization measurements. Orthonormal bases.
-
Supplementary notes Problems 2,3.
Lecture 3
-
Quantum
interference and complementarity. Quantum cryptography.
-
Supplementary notes Problem 4. End-of-chapter Problem
1.4.
Lecture 4
-
Operators
in quantum mechanics. Outer products. Adjoint and self-adjoint operators.
-
Supplementary notes Problem 5. End-of-chapter Problems
1.5-1.8.
-
Supplementary notes Quantum Computing 1. Quantum
Computing Exercise 1.
Lecture 5
-
Quantum
observables. Mean and variance. Spectral decomposition
-
Secs.
1.8, 1.9.1,1.9.2
, A.8
.
-
End-of-chapter
Problems 1.10-1.11.
Lecture 6
-
Commutators.
The uncertainty principle.
-
End-of-chapter
Problems 1.1,1.12.
Lecture 7
-
Quantum
evolution. Schroedinger equation.
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End-of-chapter
Problems 1.14, 1.15.
Lecture 8
-
Tensor
product spaces. Entanglement. Quantum dense coding. No-cloning theorem.
-
End-of-chapter
Problems 2.2, 2.4.
-
Supplementary notes Quantum Computing 2. Quantum
Computing Exercises 2,3.
Lecture 9
-
Local
measurements of entangled states.
-
End-of-chapter
Problems 2.6,2.8.
Lecture 10
-
Quantum
nonlocality. Einstein-Podolsky-Rosen paradox. Bell's inequality.
-
End-of-chapter
Problems 2.10 (for |F+>
only), 2.15.
-
Supplementary notes Quantum Computing Exercise 4.
Lecture 11
-
Von
Neumann measurements. Decoherence. Interpretations of quantum mechanics.
Quantum computing.
Quantum teleportation. Quantum repeater.
-
End-of-chapter
Problems 2.13, 2.16, 2.17 (for |F+> only).
-
Supplementary notes Quantum Computing Exercises 5, 6.
Lecture 12
-
Review
of continuous-variable quantum mechanics. Wavefunctions. De Broglie wave.
-
Secs.
3.1-3.3.