Plans for week 2, January 26-30
Dear all, welcome back. We hope you've had a great start of the week. With this mail we'd like to give you an overview of these week's plans, with exercises and links to possible reading recommendations. This week we have also our first exercise session, although it is not listed in the official schedule. The exercise sessions start at 815am and last till 10am on Wednesdays and we are at F?434, same room as the lectures.
Carl Fredrik Nordb? Knutsen will be there as TA, I will most likely be there around 9am.?
You find the exercises at the end of the slides from last week. The exercises for next week are at the end of this week's material, which you find at?
https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/pub/week2/ipynb/week2.ipynb
We will start with a review from last week and then move to these week's topics. That is:
Summary from last week and plans for this week
Last week we:
defined the state vector and the associated notation
introduced the inner product and showed how to calculate it in an orthonormal basis
introduced outer products and projection operators
introduced tensor products and showed how to construct state vectors for multiple qubits
This week's plans
We will repeat some of the topics from last week and discuss.
tensor products of Hilbert Spaces and definition of Computational basis, partly repetition from last week
Bloch sphere and representation of qubits
Spectral Decomposition, Measurements and Density matrices
Wavefunction collapse as a result of measurement
Entanglement and relations to density matrices
Readings
Reading recommendation: Scherer, Mathematics of Quantum Computations, parts of chapter 2 and sections 3.1-3.3 and Hundt, Quantum Computing for Programmers, chapter 2.1-2.5. Hundt's text is relevant for the programming part where we build from scratch the ingredients we will need.
Feel free to study the exercises in Scherer's text as well. Solutions are available.
A good read is also Audtresch's text on?Entangled systems. For density matrices see chapter 4 at?https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/Textbooks/EntanglementBook.pdf
Zoom link
Reminder about the zoom link at?https://uio.zoom.us/my/mortenhj
Best wishes to you all,
Carl Fredrik and Morten