Plans for second week, January 22-26

Dear all, the plans for this week are, with a short reminder from last week:

Last week we:

1. defined the state vector and the associated notation

2. introduced the inner product and showed how to calculate it in an orthonormal basis

3. introduced outer products and projection operators

4. introduced tensor products and showed how to construct state vectors for multiple qubits

Most of this material can be found in Scherer's text, chapter 2

We will repeat some of these topics today and discuss also

1. tensor products of Hilbert Spaces and definition of Computational Basis, partly repetition from last week

2. the idea of wavefunction collapse as a result of measurement

3. Spectral Decomposition, Measurements and Density matrices

4. Simple Hamiltonians and other operators

5. First exercise set and discussions of coding examples (see end of slides for this coming week, jupyter-notebook included)

• Reading recommendation: Scherer, Mathematics of Quantum Computations, chapter 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.

Best wishes to you all,

Keran, Morten and Ruben

See weekly material here